S(z) = 64 –3 V/

Q: Find the derivative of the function. S(2) = VE - 8E f (x) =

A: topic - derivative of a function

Q: 1 Σ k=1 27k 2k

A:

Q: 7. 4. A firm's marginal cost and revenue functions are given by MC- 12e + 16a + 20 MR = 100 -29 a. R...

A:

Q: The vat shown in the accompanying figure contains water to a depth of xo = 1.6 m. Find the work requ...

A:

Q: 7. Given vectors ū =[2,1,4], v =[1,2,–1],and w=[x,1, z] find x and z such that ū x w = v.

A: u ×w = v now u × w = i    j    k                      2   1   4                      x   1   z now  ...

Q: Find the derivative of the function. g(x) = 2(3 - 8x) g'(x)=

A:

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: Given :(2-7), (3-8), (4-9)

Q: bacteria culture grows with constant relative growth rate. The bacteria count was 1,920 after 4 hour...

A:

Q: n + 3 n- 1

A: Given query is to find the series converges or diverges.

Q: Since the terms of the series do not approach 0, what can we conclude? The series converges. O The s...

A: Given query is to find the which statment is true.

Q: k+2 k=1 The series diverges.

A: To find rhe sum of series

Q: Solve the differential equation y'- xe"+y = 0

A: Given query is to find the solution of differential equation.

Q: I Y=t5メPYove th y-2(21くるど

A:

Q: f(x) Find g'(3) given that f(3) = -6, f'(3) = –4 , and g(x) = %3D %3D 8 Answer:

A:

Q: Use inductive reasoning to predict the most probable next number in the given sequence: 1, 7, 17, 31...

A:

Q: 15 10 5 -6 -5 -4 -2 1 1 23 4 56 -5 -10 -15 termine the equation of the polynomial, f(z), of minimum ...

A:

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = x0 and then find the nth Taylo...

A:

Q: 4 + sin(n) n2 00

A: The given series,         ∑n=1∞4+sin(n)n2

Q: 15 10 -6 -5 -4 -2 12 3 4 5 6 -5 10 -15 Determine the equation of the polynomial, f(2), of minimum de...

A:

Q: A large hotel chain needs to apportion 35 new surfboards for its visitors to rent among three hotels...

A: Given:    Total number of surfboards = 35   Adam's Method:  Step 1 : Find standard divisor,SD  = to...

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

A: ratio test 

Q: Answer the questions for the function f(x) = - 3x + 3x2 - x a. Find formulas for f' (x) and f'(x). f...

A:

Q: Jcos" (3x) sin (3x)dx in' (3x)dr

A: topic - integration 

Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent. (-1)«...

A: Given:  By p-series, (1.1)nn8 is convergent. So, the given series is absolutely convergent.

Q: A large hotel chain needs to apportion 30 new surfboards for its visitors to rent among three hotels...

A: Given:   Total surfboards = 30 The distribution of surfboards is according to the number of rooms i...

Q: JA 1 J 40. f(x) x'+3x + 7

A: Given query is to find the interval where function is increasing and decreasing.

Q: Part b: Continue to assume that the height of your cylinder is 8 inches. Write the radius r as a fun...

A: Solution is written in below steps.

Q: What is the value of? df (0), dx xez²+1 ? where f(x) = 1+e-* Write your answer as an integer or as a...

A:

Q: c) Determine if y=x tan (x) satisfy dy _ y _ y sec?(r) = 0 when yLu-0=0

A: Put value in equation for satisfied

Q: Find the derivative of the following function using the limit definition f(z) = 2z4 − 4z2 . Find ...

A: f''(z) derivative of the function  f(z) = 2z4 − 4z2  using the limit definition

Q: Using the figure shown, find cota (3, - 4) -4/3 4/3 3/4 -3/4

A: Topic = Trigonometric ratios

Q: Find the in tervals on which f are: (il In creassing and decreasing Con cave uP and con cave down an...

A: Here, the given function is: y=sin22x, [0,π]

Q: Determine whether the series converges. k 2 In(k + 3) k=1 O The series diverges. O The series conver...

A:

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: In this sequence, we will get the succeeding term by multiplying 1/17 to the preceding term. Such ty...

Q: Y and 2 Y if x dx? 七 and yo

A:

Q: i) State the change-of-base formula for logarithms. ii) Using the change-of-base formula, and the na...

A:

Q: Given that the graph of f(x) passes through the point (5, 2) and that the slope of its tangent line ...

A:

Q: asap

A: We will verify the differential equation 

Q: Given f(x)-3X+l evaluate (f'o f(s)) 1-SUEJEC

A: Given: f(x) = 3x+1 For (a), Let y=3x+1.Replace x by y,    x=3y+1⇒y=x-13 So, we get f-1(x)=x-13. Now,...

Q: ollowing functions: b) y = (cos x)Vx*

A:

Q: A rectangular document is to contain 100 square inches of print with a margin of 0.5 inch on each si...

A:

Q: Where:(25 degrees)

A:

Q: -1)k+12 11 17.-(6k – 7) Use the formula for the binomial series: (1+ x)" = m(m-1)2 t … + m(m-1)(m-k+...

A: Here, the given function is: f(x)=1+66 And, the given binomial expansion is: (1+x)m=1+mx+m(m-1)2!x2+...

Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

A: Topic:- application of derivatives

Q: Find the equation of the parabola y = ax^2 + bx +c that passes through the points (-1,-4) (1,4), and...

A: topic  -  parabola 

Q: Using the figure shown, find csca (3, - 4) -5/4 -5/3 5/4 5/3

A: Here we will find  cscθ,

Q: Use the root test to determine whether the series converges or diverges. If the test is inconclusive...

A:

Q: Solve the boundary-value problem, if possible. (Assume the independent variable is x. If there is no...

A:

Q: Make a 1 rational equation problem involving 3 rational expressions with binomial term with solution...

A:

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

A: In this question we have to find the value of the series and whether the series is converges of dive...