The base of a three-dimensional figure is bound by the graph x = y3 on the interval [1, 2]. Vertical cross sections that are perpendicular to the y-axis are isosceles triangles with height equal to 4. Algebraically, find the area of each triangle. 3 2 1

Q: In an effort to reduce its inventory, a warehouse runs a sale on its least popular Blu-ray discs.…

A: answer is in next step. please give a like !!!

Q: If f(x) = 6 + 5x > Next Question 5x², find f'(-1).

A: We have to find the value of f'(-1).

Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) lim Write a…

A: topic - limits

Q: Find the composite functions (f g) and (gf). What is the domain of each composite function? (Enter…

A:

Q: For the function, locate any absolute extreme points over the given interval. (Round your answers to…

A:

Q: Part A: If h(x) = f(x) + g(x), solve for h(x) in sin

A: topic:- calculus

Q: Sketch the region of integration and evaluate the following integral. 1 SS= -dA, R={(r,0): 0sr≤3,≤0≤…

A:

Q: = ( 4+x)-³. 00 n=0 00 00 118 00 (-1)^(n+1) (n + 2)x" in +3 2.4" (-1)^(n+4)! 2n! (-1)" (n+1) (n + 2)…

A:

Q: Find critical values of the function. If they exist label as a max/min or IP. Must show and use f'…

A: topic- application of derivatives

Q: 18) . Find the solution to the initial-value problem. y' = 2xy(1 + 8y), y(0) = −1 y =   PLEASE…

A:

Q: The population of a herd of deer is represented by the function A(t)=190(1.31)t, where tt is given…

A: Solve the following

Q: Find the limit of the transcendental function. tan (7) lim tan X-17

A:

Q: 1. f(x)= x²(2x+3) (x²+1)*

A:

Q: Find the total change of f(x) between x = 1 and x = 3, when df = 3x² + 2x

A: NOTE: Refresh your page if you can't see any equations. . here we have the given values of x are…

Q: Find the 11th term of the following geometric sequence. 2,8, 32, 128, ...

A: This question can be solved using the formula of general term of geometric sequence.

Q: 6 5 + x²' a. Find the slope of the line tangent to its inverse function at the point P(1, 1): For…

A: We can answer the question as below.

Q: Mary needs to borrow $11,000. She can borrow the money at 6.5% simple interest for 5 yr or she can…

A:

Q: 11) Find the general solution to the differential equation. y' = eyx2

A:

Q: Ind the one-sided limit (if it 1 Ilm *--5+X+5

A: topic:-  limits

Q: The United States population (in millions) is predicted to be P(t) = 317e0.01t, where t is the…

A:

Q: nd the one-sided DNE lim_(x². +x+5) x--5- exists). (If an answer does not exist, enter DNE. Submit…

A: Topic:- limits

Q: Rewrite the equation with the variables separated. dy dx + √y = e* √√y dy √y-1 dy dy = ex dx = (ex -…

A:

Q: The Reed-Frost model for the spread of an epidemic predicts that the number I of newly infected…

A:

Q: Answer the following True or False: d 574 da 775 = O True False > Next Question

A: Solve the given

Q: Work Problem 3 a) Find the local maximum and minimum value(s) (if it exists) of the function f(x, y)…

A: This is a problem related to maxima and minima. Please follow the procedure given below. As per…

Q: lim (cos(9x)) (+) +0+x

A:

Q: 2 if x = -4 Select all statements below that you agree with. Note: You may be checking more than one…

A: Please refer to the image below

Q: Calculate the Taylor polynomials T2 and T3 centered at a = 3 for the function f(x) = x²-3x. (Use…

A: To calculate the Taylor polynomials T2 and T3 centered at a=3 for the function fx=x4-3x.

Q: Find the third derivative of f(x) = ³/15z + 1. f"" (2) - ab a b √a |a| π sin (a) 2.

A:

Q: Because of the popularity and power of smartphones, demand for wireless communication is growing…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find a formula involving integrals for a particular solution of the differential equation y" - 15y"…

A: This is a problem related to integral. Based on the general formula and concept we will answer the…

Q: What is the equation of the curve that passes through the point (2, 3) and has a slope of ye-2 at…

A: Topic = Differential equation

Q: 4. The associated auxiliary equation with the homogeneous linear differential y"+2y' + y = 0 is A.…

A:

Q: Consider the parametric curve given by (a) Find dy/dx and d²y/dx² in terms of t. dy/dx d²y/dx² = = x…

A:

Q: Using the first derivative find a point on the line (below) that is closest to the point P(5,-6).…

A:

Q: 7. xcos2y dx + tan y dy = 0

A:

Q: Expand f(x) = √3+x as a binomial series. 2 / 3 (¹ + $ 1 E 0 + (¹ + 5, (1 1 O O₁+ (-1)1-3. 5 . n=1…

A:

Q: 38. 32 (-1)k k=0 (2k + 1)³

A:

Q: The force exerted by an electric charge at the origin on a charged particle at a point (x, y, z)…

A:

Q: Find the solution to y' =    2y satisfying y(0) = 15.

A: Solve the following

Q: If f(x)=3-x² and g(x)=4-3x, find a) f(g(x)) b) f(g(0)) c) f(f(x)) d) g(g(x))

A: Given  fx = 3-x2  and  gx = 4-3x.

Q: days

A: Please refer to the image below

Q: lim I-4+ lim Х- 4 3x (x+4)8 3x (x + 4)8 II

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) 7-X Ilm x-7+ x² - 49

A: using simplification,

Q: dy 8. = dx 1 x+y+1

A:

Q: Given sin a = 0.865 and sin = 0.693 with both angles' terminal rays in Quadrant-I, find the…

A:

Q: Sue's grade in her math class is related to the number of hours she studies. The rate of change of…

A: First, we formulate a differential equation by using the given data and then solve it by using the…

Q: The bones of a newly discovered dinosaur weigh 170 pounds and measure 9 feet, with a 6-inch claw on…

A:

Q: 6 13 Find the critical points of the function f(1) = 26x7 +17. Enter your answers in increasing…

A:

Q: Graph on the image below and find the area bounded by 9x^2 + 4y^2 = 36. Solve this using method of…

A: