Find the x-value maximizing the shaded area on the interval 0 < x < 18. One vertex is on the graph of f (x) ==- 50x + 1000. %3D (2, f(x)) 18 Round your answer to three decimal places, if necessary. X = i

Q: 3. Find the volume of a solid of revolution generated by revolving the region under the line 2x +1…

A: Volume of solid = integration of πf(x)^2 dx from x1 to x2

Q: 1. Find the derivative of the following: (Simplify your final answers.) h(t) = V3t – V2t²,t # 0.…

A: Solving

Q: 3. Find the integral * dx a² -2 x+1 a.-x - - x - In(x + 1) + C 2 b.x2 – x – In(x + 1) + C c.x2 – x +…

A:

Q: Evaluate the triple integral. Then, on your paper, sketch the solid whose volume is expressed by…

A: We can solve as follows

Q: Danielle is skiing along a circular ski trail that has a radius 3.5 km long. She starts at the…

A:

Q: 1. The number of movies released each year in the United States can be estimated by the linear…

A: To solve the following problem

Q: Use the given information to find the indicated probability. An B = Ø, P(B) = 0.1, P(A U B) = 0.1.…

A: Solution - Given:-  P(A U B) = 0.1 ,  P(B) = 0.1  P(A) = ?

Q: The demand for a particular item is given by the function D(a) 1, 300- 3x2 Find the consumer's…

A:

Q: Find of the following equations: dx 4 a. y = -3x² + 7x² + ln 8x)"

A:

Q: Approximate the local minimum value of the function given below. Use Newton's method with the…

A:

Q: about the x-Qxisp the

A: answer is in next step

Q: Determine the indefinite integral 4 7 6r -- 5 4

A:

Q: 23-42 Find f. 23. f"(x) 20xr'-12x + 6x 24. f"(x) x - 4x +x + 1 25. f"(x) = 4 - 26. f"(x) x/3+x/3 27.…

A:

Q: Given the following acceleration function of an object moving along a line, find the position…

A: Given problem:- Given the following acceleration function of an object moving along a line, find the…

Q: y' = xy – Vx

A: Solving

Q: An object moves along a coordinate line with velocity v(1) = r(9 - 1) units per second. Its initial…

A: Given:    v(t) = t ( 9 - t )     x ( 0 ) = - 5    t = 13

Q: sinx 14. What is y" if y=' 1- cosx -sinx -cosx A) у'— C) y'= (1 – cos.x) (1 – cos.x) sinx (1 –…

A:

Q: 2. Determine the derivative of g(t) = 8*[(2t + 1)² + t].

A:

Q: Question Solve the following initial value problem. f"(x) = -12x² + 18x+6, f(0) = 11, f(2) = 43…

A:

Q: 2. A toy company finds there is a linear relationship between p, the price they charge for a…

A:

Q: 3-A coin is tossed 3 times the probability that all 3 tosses are tail equal a) b); c); d) 9.

A: Our Aim is to calculate the probability of flipping a coin three times andgettiing 3 tails.

Q: 16) Find the radius of convergance, Rof Ene.series R=? 90x

A: The given series,        ∑n=1∞9nn2xn

Q: 4- The number of element in the sample space when you flip 3 coins together c) 6 d) 12

A: We can solve this as follows:

Q: (3) (E) - (a) - () 2. 2. 는 (v) 1 1 1. (B) 1 1 = xP (x)fj fx+1 for x<0, 9. Given f(x)= cos nx for…

A:

Q: A line is parameterized by x = 5 + tand y = 6t. (a) What part of the line do we get by restricting t…

A:

Q: Find all the derivatives of f, given f(x) = x8 – 5x7 + 4x6 – nx* + 3x³ + 11.

A:

Q: Evaluate the following indefinite integral: dx r2 +1

A:

Q: 3. You are designing a spherical tank to hold water for a small village.The volume of liquid it can…

A: Given information: V = Volume of tank m3V = πh23R-h3…

Q: 2x2+14x-16 Let f be the function given by f(x) For what values of x does fhave a removable…

A: Given the function is  f(x) = 2x2+14x-16x2-9x+8.

Q: ||r'(t) × r"(t)|| ||r'(t)||³ Use the formula k(t) = to find k(t). r(t) = t²i + t5j 390 t14 K(t) = 3…

A:

Q: Write the vector in component form. p|= 98, 330° O O O

A:

Q: The supply for a particular item is given by the function S(r) 23 + 0.81a2 Find the producer's…

A:

Q: d. q(x) = cot-1 ( ) 1-nx

A: Follow the procedure given below.

Q: A certain radioactive substance decomposes at a rate proportional to the amount present. Suppose…

A: I have appended the formula used in the solution part.

Q: Given: re + In(x - y) xe*? Find dy/dx. 2ry(z=y)+z* 1+(z=v}(2»² +1)e| dy dr 2r(z-y)-z1z…

A:

Q: c) y' = 3y + e* A. y = e3* – e/2x C. y = 2e³x – c²"/x B. y = ex – c/2 D. None of these d) y' = cos x…

A:

Q: Calculate the derivative by expanding or simplifying the function. 1- 2(19t) s(t) (19t)l/2 (Use…

A:

Q: Publishing The following table shows the results of a survey of 500 authors by a publishing company.…

A:

Q: Question 5 Find the volume of the solid that results when the region enclosed by the given curves is…

A:

Q: Selors use the fullowing quadrate function to estimate wave height h, in feet, from wind speed w, in…

A: The height h, in feet of the wave h=0.02w2, wind speed w, in miles per hour.

Q: wastebasket has a wire circle for the top and bottom, and six straight wire rods that hold the top…

A: Find your answer below

Q: Region is bounded by y=x y=x2 Rotate about x=2. Find the area. Please help

A:

Q: Evaluate: S Vx(x – 5)dx

A:

Q: Fina the integral (2x-1) (x+3) a. In 7 (2x-1) + C x+3 b. In 6 (2x-1) + C x+3 3 (2x-1) c. In + C x+3…

A:

Q: A Norman window is constructed by adjoining a semicircle to the top of a rectangular window, as…

A: Perimeter of Norman window(P)=Perimeter of rectangle(P1)+Perimeter of…

Q: 1 q(x) = cot-1 %3D V1-nx2.

A:

Q: 1. Find the Fourier Transform of - 1 1 f(t) = -1

A: As per the guidelines I can solve only first question

Q: 4.two die are tossed, the probability that the sum of two faces will be 4 11 d) 3 a) 72 b) 12

A: Probability

Q: Use power series to show that sinh(z) + cosh(x)= e".

A:

Q: Answer the question. Show ALL your steps in your calculations. Answer in complete sentences. 2x²–50…

A: fx = 2x2-50x2+8x+15domain: -∞,-3∪-3,∞x=-3, vertical asymptotex=-5, hole