4. Determine where V(z) = z*(2z – 8)³ is increasing and decreasing.

Q: Find two unit vectors in 2-space that make an angle of 45° with 7i + 4j. NOTE: Enter the exact answe...

A: Given :Make an angle of 45° with 7i + 4j

Q: Use implicit differentiation to find the 2nd derivative of x2 y + y2 x=-2

A: By using implicit differentiation to find the 2nd derivative of x2y+y2x=-2.  

Q: 1. y = x - x'cosx + 2xsinx + 2cosx 2sim x-1 2. y= cosx+2 3. tan(xy) + xy = 0 4. y= x 5. y = xArctanx...

A:

Q: he function C(x) = 0.002x² + 80x + 8000. (a) Find the average cost function C. C = (b) Determine the...

A: Topic:- application of derivatives

Q: 8. y = In(x + V +1)

A:

Q: Suppose the closed curve C in R? starts at the point (-1,1), goes along the parabola y = x2 to the p...

A:

Q: 2 + x², -2 <x< 0 1. f(x)dx; f(x) = -x + 2, 0<x<4 -2 2

A: Given query is to find the value of the integral.

Q: Which of the following is an improper integral? | In(x++ 1) dr dr -4x²–x- 2 dx 2x+8 In3e cOsx dx xe ...

A: An improper integral can be termed as a definite integral that has either or both limits infinite or...

Q: F F) s an antiderivative of x-+x-, then what is the value of F(1)-F(-1)2 -1

A:

Q: 10 -dx may be writen as Ala secB" + tanB"| + C where A, B, and C are constants not equal to zero. Ev...

A:

Q: cos2x- sin2x cos2x F(x)+C: What is Fx)? For dr = - 3 cosx - sinx

A: A detailed solution is given below

Q: cos2x – sin2x cos2x F(x) +C. What is F(M)? For dx%3D cosx – sinx 3

A: A detailed solution is given below

Q: 2. A rocket is launched in the air. Its height, in meters above sea level, as a function of time, in...

A: Given that a rocket is launched in the air. Its height , in meters above sea level as a function of ...

Q: Select the answer that is equal to e#/² f(x) dx. Show workings. A. 2e*/2f(x) +2 | e=/² f'(x) dx B. e...

A: To solve the problem we use integration by parts formula. From integration by parts we get: ∫uv dx =...

Q: The integral of the function below may be written as me" sine) + px + qe* + C. Wherg. m,n, p, q,r an...

A:

Q: Find the diameter of the circle 4x? + 4y? + 24y – 4x – 35 = 0. A. 6V3 B. 6V7 C. 3/6 D. 37 E. None of...

A:

Q: cos2x- sin2x cos2x For dr=-F(x)+C What is F(x)? COSX sinx 1. (sinx COSX O (cscx x – secx) ³ CSC) cos...

A: We have to find F(x) by indefinite integral

Q: Show that the equation x – 18x + c = 0 has at most one root in the interval [-2, 2].

A:

Q: 3. tan(xy) + xy -0

A: Question number 3,Given,           tanxy+xy=0To find : The second derivative, y'' of the given funct...

Q: 7. g(t) = tỉ %3D

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: dy y- 1 dx -1' y(2) = 2

A:

Q: dy 2y + cos dx ||

A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: Which of the following is an improper integral? - dx x² – x – 2 In3e cOsx Ax xe 'dr -2 dx 2x + 8 In(...

A:

Q: sinx dx cos³x (1 – sec*x)3 A)를 (1-sectx)-4 +C B)를 In(1 sec*x)3 + C c)금 (1-sec+x)-2 + C D)름 (1-sec*x)...

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: cos2x - sin2x cos2x -dx =-F(x)+C• For What is F(x)? cosx – sinx 2 sinx + -cosx+ cosx + -sinx 3 3 2 s...

A: Using cos(2x) =cos2 (x) - sin2 (x) 

Q: The expression below is an evaluation of which integral? * 1 6 2æ + 2 In|æ| 2 In|æ – 3|+c | 523 + 62...

A: Using partial fraction. 

Q: 4 dx Evaluate Зх— 12

A:

Q: Use implicit differentiation to find an equation of the tangent line to the graph of the function at...

A:

Q: The 26th term of a Fibonacci sequence is 121393 and the 27th term is 1916418. What is the 24th term?

A: F0=0, F1=1Fn = Fn-1 + Fn-2,  n≥2 F26 =121393F27 =1916418F27 =F27-1 + F27-2F27 =F26 + F25F25 =F27 -F2...

Q: Let f (x) = ax- 5/12 + 4x2. Find the value of a if f' (1) = 26. %3D

A:

Q: 10 -dx may be written as Aln|secB"+ tanB"| + c where A, B, and C are constants not equal to zero. Ev...

A: The given integral,         ∫10xcos 10xdx

Q: (c) lim * +1)' sin x X-0 2x lim sinx 5 (d) 20 +sin 0 (e) lim - 8-0 40

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for yo...

Q: dx - = In[F(x)]+C• What is F(/3) if C = 0? For (x+x³) (x Tan-!x+1) +- 3 3 + 6. -is -is

A:

Q: 0. Reliability of Computer Chips The percentage of a certain brand of computer chips that will fail ...

A: We have an expression: P(t)= 100(1-e-0.1t)

Q: If   C(t)=79.2te−0.13t measures the​ concentration, in ngml​, of a drug in a​ person's system t hour...

A: We will differentiate the given function c(t) to find the rate of change.

Q: 4. Starting from the same point, Royden starts walking eastward at 0.5 m/s while Nilo starts running...

A: Draw a schematic diagram of given question.

Q: Diberi persamaan parametrik bagi satu lengkuk adalah The parametric equations of a curve are x = In ...

A:

Q: Write an equation for the function graphed

A: Given graph:

Q: dx -= In[F(x)]+ C. What is F(/3) if C = 0? For (x+x3) (x Tan-!x+1) -1 (A 3 3 B (c) + - 6. 1 D + -15

A:

Q: The volume of the solid formed by rotating the region under the curve y = V5x from = 1 to x = 10 can...

A:

Q: 4 dx Evaluate Зх — 12 (A) 00 + 00 (C) о D) 1 B.

A:

Q: cos2x – sin2.x cos2x - dx = -F(x)+C. What is F(x)? 3 For cosx – sinx 1 (A (sinx – cosx osx) - B sinx...

A:

Q: F (x. y) =- 3x2+3y2-18y+15 4- /2x+4y+4 a) Find domain b) Draw sign Diagram

A: Given Functionfx,y=3x2+3y2-18y+154-2x+4y+4We will find the domain and Draw sign diagram

Q: Minimizing Packaging Costs A rectangular box is to have a square base and a volume of 63 ft3. If the...

A:

Q: The antiderivative of ƒ (x), which is F (x), exhibits an odd symmetry, i.e., it satisfies the proper...

A: Given Problem is solved in attachment.

Q: A company produces a special new type of TV. The company has fixed costs of ​$476,000​, and it costs...

A:

Q: Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x = 4.

A:

Q: Consider the function f (x,y) = x³ – 3xy + y³. Find all critical points of f and determine whether t...

A:

Q: ( (cos(2r) – sin(2x)cos(2x)) -dx =. For +C. What is F (x)? cos(x) – sin(x)

A:

Q: The general antiderivative of (3x2- 4)2x² can be written as x" a m --x"+-xP +C. b n What is the valu...

A: We will find the general anti derivative.