 Calculus
Differentiation
4 3 x2 Find the derivative Calculus
Differentiation
27 3 J 2 30 A m 3 n B m 2 5 n 3 C m n 2 3 D m 3 n 2 28 4 5 3 45 y 5 3 3 S 6 A x B x C 5 6 D x S 6 6 5 3 y 39 6 5 6 3 y y 5 y 5 Calculus
Differentiation
Consider the curve given by the parametric equations a Determine the point on the curve where the tangent is horizontal t x t t 147 y 2 t 147 b Determine the points t t2 where the tangent is vertical and t t t Calculus
Differentiation
Question Evaluate the indefinite integral given below Provide your answer below X5 x 2 dx Calculus
Differentiation
Evaluate the indefinite integral given below using the indicated substitution 3 4 42 x 3a 2 da U 3x x Provide your answer below Calculus
Differentiation
Simplify the expression as much as possible cos t 1 sin t N help formulas Calculus
Differentiation
Evaluate the indefinite integral given below using the indicated substitution fa Provide your answer below 17 8x dx u 17 8x Calculus
Differentiation
Calculate the binomial coefficient 16C15 Calculus
Differentiation
Calculate the binomial coefficient 11CB Calculus
Differentiation
Find the area of the triangle having the indicated angle and sides Round your a B 125 a 94 c 39 Calculus
Differentiation
Use the Law of Sines to solve the triangle Let a 12 mm Round your answers for b and c to two decimal places O b mm mm b 350 C 55 a B Calculus
Differentiation
Solve the exponential equation 3x 9 X Calculus
Differentiation
Solve the logarithmic equation Round your answer to three decimal places log10 x 1133 X 1 Calculus
Differentiation
Find the inverse function of f informally Verify that f f 1 x x and f f x f x 8 x 2 f 1 x X Calculus
Differentiation
Find the most general antiderivative of the function Check your answer by differentiation Use C for the constant of the antiderivative F x 2 t t t Calculus
Differentiation
Find f f x 20x 12x 6 f x Question Help Message instructor f 0 2 f 1 0 Calculus
Differentiation
Orphof 9 Let be the function defined by f x cos 2x Leth be the function whose graph consisting of five line segments is shown in the figure above a Find the slope of the line tangent to the graph off at x H b Let k be the function defined by k x h f x Find k x Calculus
Differentiation
Example 8 Is the function given by f x x 1 for x 4 x 7 for x 4 continuous at x 4 Why or why not Calculus
Differentiation
7 Patrick was asked to write an expression equivalent to 2log3x w5 He came up with 6log3x 5log3w Determine if his expression is equivalent or not Explain your answer Calculus
Differentiation
Find the exact value of each expression 34 cos 1 35 sin 3 2 Calculus
Differentiation
Use the Laws of Logarithms to expand the expression log V 7x y 1 1 9 log 7 x log 7 y Calculus
Differentiation
The bounded area between the curves f x 15x4 and g x 15x is Your answer should be a number Calculus
Differentiation
Find the area of the triangle determined by the points P Q R P 1 1 2 Q 2 0 1 R 0 2 1 Calculus
Differentiation
VE vo X Simplify into a single log 2 log x log 4y Calculus
Differentiation
X Given that f x 3x 4 and g x x 1 find g f x 76 El Calculus
Differentiation
Question 1 Solve the given inequality Enter your answer using interval notation and exact values 2x 724x 3 Calculus
Differentiation
Next question Identify the domain of the following functions a f x log 4x 7 00 17 4 Domain b f x ln 3x 2 Domain Get a similar question c f x log 2x 8 Domain Question Help Message instructor OF You ca Calculus
Differentiation
2 Evaluate x x 1dx the integral Calculus
Differentiation
a Calculate the definite integral f x dx by referring to the figure on the right with the indicated areas a b Ay Area A 1 204 Area B 2 308 Area C 3 079 Area D 1 687 Calculus
Differentiation
y 19 cos 4x 6 Amplitude Period Phase shift F C Calculus
Differentiation
The graph of y f x solid and its tangent line at x 0 dashed is shown a second point on the tangent line is also marked Assume f x is continuous 10 9 8 7 6 5 Find f x lim x 0 x f x lim 204e 4 10 9 8 9 1 1 5 6 8 9 10 Calculus
Differentiation
t x 9y x 2 7y y 1 0 0 5 0 5 C 4 6 8 0 1 0 F 1 0 0 5 R 8 89 0 5 1 0 M y 1 0 0 5 0 5 1 0 1 0 0 5 webassign net 4 6 0 5 8 1 0 Calculus
Differentiation
S Sketch the region enclosed by the given curves x 9y x 2 7y y 1 0 0 5 0 5 0 1 0 8 6 WebAssign Plot X M y 1 0 0 5 0 5 1 0 1 0 63 0 5 webassign net 0 5 8 1 0 Calculus
Differentiation
Sketch a possible graph of a function f that satisfies the following conditions 1 f x 0 on 5 f x 0 on 5 ii f x 0 on 10 and 10 o f x 0 on 10 10 iii lim f x 3 lim f x 0 24 248 20 18 16 14 12 10 8 8 10 12 14 16 18 20 Calculus
Differentiation Calculus
Differentiation
rm is Consider the convergence divergence of the following series whose nth an n 1 Calculus
Differentiation
Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval Ente your answers as a comma separated list If an answer does not exist enter DNE f x 0 9 C Graph the function the secant line through the endpoints and the tangent line at c f c 3 2 1 2 16 8 KEN Calculus
Differentiation
Problem 4 Evaluate the following integral 1 2 100 Problem 4 dx Enter your answer as a sym function of x as in these examples Calculus
Differentiation
Problem 5 Find the remainder after performing the following divis 11x 5x x 5 Problem 5 Calculus
Differentiation
Let A z f t dt with f x shown in the graph below 0 st 4 3 2 1 2 3 At what x values does A x have a local max x At what x values does A x have a local min x Restrict your answers to values 0 x 6 Calculus
Differentiation
Given At what value of x does the local max of f x occur x f x S a At what value of a does the local min of f x occur x t 5t 24 1 cos t dt Calculus
Differentiation
For f x y A x Bx y Cy what values of A B and C give f x y a local maximum value of 17 at the point 10 2 A B C i i Bul i Calculus
Differentiation
T S S Sketch the region enclosed by the given curves y 3 x y 12x Y 3 6 1 y 8 2 X 0 3 4 82 M 6 th y 8 JS Secti MacBook Air 2 dh 3 Calculus
Differentiation
Find the extreme values of the function and where they occur 17 y 1 x2 1 A None B Local maximum at 0 1 C Local maximum at 1 0 local minimum at 1 0 D Local maximum at 1 0 local minimum at 1 0 Calculus
Differentiation
Evaluate the definite integral 8 X Calculus
Differentiation
Are the following functions derivable at the given point If so calculate the derivative f x g x x if x 0 200 if x 0 sin x x in x if x 0 if x 0 0 in x 0 Calculus
Differentiation
Calculate the following derivatives using the definition f x 3x on x 3 g x 4x on x 1 h x 2x 5x on x 1 k x 4x on x 2 Calculus
Differentiation
Find the standard form of the equation of the ellipse with the given characteristics Center 2 9 a 3c foci 5 9 9 9 Calculus
Differentiation
Express x eliminating ln 3t y 2 t in the form y f x by the parameter y Calculus
Differentiation
Write the first five terms of the sequence defined recursively a 27 ak 1 ak 4 a1 a a3 34 a5 Use the pattern to write the nth term of the sequence as a function of n Assume that n begins with 1 an