Calculus Questions

Find the sine and cosine of the angle 8 Calculater from the Pythagorean Theorem sin 0 cos A 11 8 10 24 y X i

Find the sine and cosine of the angle 0 sin 0 cos 0 0 y 90 54 72

Find the sine and cosine of the angle 0 sin 0 y 0 10 8 6 X

Use Newton s Method with the function f z z 2 and initial value o 1 to calculate 21 22 23

5 Solve the triangle rounding to the nearest tenth assuming a is opposite side a 3 is opposite side b and y is opposite side c a 4 b 6 c 8

Use the parent function f x logx and transformation techniques to graph h x log x 7 3A dicate which transformation s is are applied Determine the domain range and vertical asympto lect all transformations that apply Vertically compress the graph off by a factor of 3 Shift the graph of f 7 units to the left C Shift the graph of f 7 units to the right Reflect the graph of f about the y axis E Horizontally stretch the graph of f by a factor of 7 F Horizontally compress the graph of f by a factor of 7 5 Reflect the graph of f about the x axis H Vertically stretch the graph of f by a factor of 3 Shift the graph of f 3 units up J Shift the graph of f 3 units down

1 Use the parent function f x logx and transformation techniques to graph g x log x 5 indicate which transformation s is are applied Determine the domain range and vertical asymptote of g Select all transformations that apply A Horizontally stretch the graph of f by a factor of 5 B Reflect the graph of f about the x axis C Shift the graph of f 5 units down D Vertically compress the graph of f by a factor of 5 E Vertically stretch the graph of f by a factor of 5 F Reflect the graph of f about the y axis G Shift the graph of f 5 units to the left H Horizontally compress the graph of f by a factor of 5 1 Shift the graph of f 5 units to the right Shift the graph of f 5 units up

Solve the following basic calculus problems d a dx e cos x

Evaluate the following iterated integral xye dy dx 00 1 2 7 by dy dx 00 Type an exact answer in terms of e

For an average person the rate of change of weight W in pounds with respect to height h in inches is given approximately by the following formula 0 0015h dW dh Find W h if W 60 108 pounds Also find the weight of a person who is 5 feet 7 inches tall W h 0 0005h A person who is 5 feet 7 inches tall weighs about Round to the nearest tenth as needed lb

kf x dx kf f x dx a x g x dx a x dx g x dx f x dx 0 f x dx f x dx a q qf f x g x f x dx g x dx cl cut suck

Use a triple integral to find the volume of the wedge bounded by the parabolic cylinder y x and the planes z 14 y and z 0 The volume of the wedge is Com

Monthly sales of a particular personal computer are expected to decline at the following rate of S t computers per month where t is time in months and S t is the number of computers sold each month 2 S t 35t The company plans to stop manufacturing this computer when monthly sales reach 500 computers If monthly sales now t 0 are 1 760 computers find S t How long will the company continue to manufacture this computer S t

Problem 4 Find the area of the region in the first quadrant that is enclosed by the curves x y y x 24 and the x axis Problem 4 2 3 64 8 176 192 64 8 176 192 Just Save 5 Enter your answer symbolically as in these examples Submit Problem 4 for Grading 4

For an average person the rate of change of weight W in pounds with respect to height h in inches is given approximately by the following formula dW 0 0015h dh Find W h if W 80 256 pounds Also find the weight of a person who is 5 feet 6 inches tall W h

Evaluate x 0 4 0 4 7x y dx dy 7x y dx dy Simplify your answer 7x y dx dy x y

Find the exact real number value of the expression sec sin 1

Match the equation with its graph y x 36 25 1 5 y 10 12 5 10 X y 10 5 10 5 5 10 10 X O 10 5 10 10 5 5 15 y 5 y 10 10 5 5 X 10 X

Test for exactness If exact solve If not find an integrating factor and solve Find the general and particular soluton 4 y m dx 5 x n dy 0 with initial condition y m n Where m 4 and n 0

roblem 5 Find an integral which represents the volume of the solid obtained by rotating the region enclosed by the curves y x and y 2x 8 about the x axis Problem 5 4 7 x 2x 8 dx B S E 7 x 2x 8 H 7 x4 2x 8 dx 2 B 2x 8 x dx C 7 x 2x 8 dx 76 TU 4 n 2x 8 x G 2x 8 x dx 2 4 4 2x 8 x dx

Problem 7 A chain lying on the ground is 14 ft long and weighs 90 lbs How much work is required to raise one end of the chain to a height of 8ft Problem 7 6619 5010 Enter your answer symbolically as in these examples

Problem 9 Evaluate the following integrals 3 i xe So 0 a b xe4x dx In x Se inta dx 1 11 e 12 1 16 Problem 9 a 11e 2 1 Enter your a as in these

Find Sin t of dv df and d gue sin ax dx 1 50 x Sin t Smada Jinxdbie Cost 51 2 Sin ax da V1 x Coss the anche to at 8r 26 2 1 2 pts Ska du Fa 45 3 bol x 2 1 1500 hor

4 Find L 12 x dx Jinlord de 5x dx Hints set u hu 2 pts dv dx and use I by P 3 times

dx 2 pts each x 1 A Use substitution Hint set u X 1 Su 1 de julidt I tre cit 24 U 25u de jare 3 20 13 Use Integration by Pants Hint setung POL FOL 1 and der Jx17 16 21 du x 7 9 3 2017 26 77 55147 2 50 7 03 225271 4 2 1 x 1 3 du dr chi chu I 2 x 7 c show answer A is the same as conser A 2 x 1 x 1 Wolfie X 2 5 1 2 x 1 da X 2 x 1 2 x 1 t d t X2 x 1 2 dt dx x 2 5 1 2x2 t X 2 x 7 2 x 2 147 FT 3 2x x 1 H 1 x y 2 x 7 4 2 1266 te 3 f

chus In xedx Hint setu x dv ex x 2 pts

Find suike dx Find sin e dx Hinto satu e G N 2 pts

Find the linearization L x of the function at a f x x 5 L x a 32 Question Help Message instructor

Use a linear approximation or differentials to estimate the given number Round your answer to two decimal places 32 05 4 5 Enter an integer or decimal number more Question Help Marcago in

a Find the differential dy y tan x dy b Evaluate dy for the given values of x and da x 4 and dx 0 01 dy Quartier

Find the derivative of the function y y x2 1 1 5 ques

Find the derivative of the function y y 5 2 1

Find an equation of the tangent line to the curve at the given point y sin sin x 7 0 y

A table of values for f g f and g is given f x g x 3 2 1 8 7 2 2 1 2 3 f x 4 57 7 a If h x f g x find h 1 h 1 b If H x g f x find H 1 H 1 g x 6 79

If h x 4 3f x where f 5 4 and f 5 2 find h 5 h 5

If F x f g x where f 2 3 f 2 5 f 4 1 g 4 2 and g 4 9 find F 4 F 4

Find the derivative of the function y sin sin sin x y

Find the derivative of the function y x sin 3 8

Find the derivative of the function y sin tan 9x y

Find the first and second derivatives of the function y sin x y y Questi 0 0

Write the composite function in the form f g x Identify the inner function u function y f u g x and the outer y 1 7x g x f u Find the derivative dy dx dy da Question Help Message

Find the derivative of the function y cos a x y x

Find the derivative of the function F z z 32 3 F z

54 57 Applying reduction formulas Use the reduction formulas Exercises 50 53 to evaluate the following integrals 54 55 x cos 5x dx 56 x sin x dx 57 In x dx 58 Two methods Evaluate sin x In cos x dx in the following two ways a Use integration by parts 59 Two methods a Evaluate f b Evaluate X x 1 X b Use substitution dx using integration by parts dx using substitution c Verify that your answers to parts a and b are consistent 60 Two methods a Evaluate fx ln x dx using the substitution u x and evaluating In u du b Evaluate xln x dx using integration by parts c Verify that your answers to parts a and b are consistent

Helium is pumped into a spherical balloon at a constant rate of 2 cubic feet per second How fast is the radius increasing after 3 minutes At what time if any is the radius increasing at a rate of 140 feet per second The radius is increasing at a rate of 0 0082 ft sec Type an integer or a decimal Do not round until the final answer Then round to four decimal places as needed Select the correct choice below and if necessary fill in the answer box to complete your choice A The time at which the radius increases at a rate of 140 feet per second is sec Type an integer or a decimal Do not round until the final answer Then round to five decimal places as needed There is no solution

Problem 7 A chain lying on the ground is 14 ft long and weighs 90 lbs How much work is required to raise one end of the chain to a height of 8ft 4s

Problem 6 Find an integral which represents the volume of the solid obtained by rotating the region enclosed by the curves y x and y 8x about the line x 8 64 4 7 8 5 8 2 64 D n 8 2 8 64 0 64 x 8 8 C z 8 8 2 TU 8 2 8 5 1 a 8 2 8 G 8 8 2 H 8 5 8 4 Problem 6 Select you

Problem 4 Find the area of the region in the first quadrant that is enclosed by the curves x y2 y x 24 and the x axis

10 Diyagram BD n zerinde BC kenar olan ABC genini g stermektedir B l m A ZBCA n n l s nedir B l m B Y nin de erini bulmak i in bir denklem kurun ve z n B l m C ZA ve ZB B 5y 3 4y 8 l s n belirlemek i in y de erini kullan n 146 C D

X The lower edge of a dam is defined by the parabola y see figure Use a coordinate 25 system with y 0 at the bottom of the dam to determine the total force on the dam Lengths are measured in meters Assume the water level is at the top of the dam OA SO O B Set up the integral that should be used to find the total force on the face of the dam Use increasing limits of integration Select the correct choice below and fill in the answer boxes to complete your choice Type exact answers 14 2 dx 9800 14 y 5 y dy ya 25 20 15 Q Q