The base of the solid is a square, one of whose sides is the interval [0, 4] along the the x-axis. The cross sections perpendicular to the x-axis are rectangles of height f(x) = 2x². Compute the volume of the solid. (Use symbolic notation and fractions where needed.) V =

Q: A marketing specialist determines that when a certain product is released, the number of social medi...

A: Given query is to find the derivative of the function at t = 4.

Q: O Question 9 > Rewrite this number in appropriate scientific notation: 27, 050 answer =

A: Given, number is 27050

Q: Sketch the region that corresponds to the given inequalities.

A:

Q: Find the area between y=1.2x+2y=1.2x+2 and y=x2−4y=x2-4. Round your limits of integration and answer...

A:

Q: If you have been hired at an annual salary of $23,000 and expect to receive annual increases of 5%, ...

A: Annual Salary is $23000 and Annual increment is 5%. We have to calculate the salary when we begin ou...

Q: Find the value of x if 1 3 2 %3D = 10. O 2 Оз O 4

A:

Q: v(t) = VE – Vt, then find the second derivative, v" (t) =

A:

Q: There are 164 students in an Electronic Engineering (Computer) program where 110 students like Diffe...

A: Solved below

Q: Which integral would represent the area shown? AY 1.5 1+ 0.5- 0.5 1.5 2 o xd x o 2xd x x³dx 2.

A: Topic = Area

Q: Find the derivative of y with respect to the independent variable. 20) y = 7cos TO A) -17COS TO In 7...

A:

Q: (a) Suppose the value of f(x) = e is known in x 0.98 and x = 1. Find the linear interpolation approx...

A:

Q: The graph of P(x)= a (x-b)(x+1)2(x-2) passes through (0,6). The value of b in the terms of a, is?

A:

Q: If g(x) = In(2x), estimate g'(3) by finding the average rate of change of g over the interval [2.9, ...

A:

Q: Radium decomposes at a rate proportional to the amount present. If the half-life is 1600 years, find...

A: NOTE: Refresh your page if you can't see any equations. . the initial amount is a=100% half-life is ...

Q: sin 0(1 + tan 0) tan 0(sin0 +cos0)

A:

Q: What word or phrase best fits in the blank below? "If lim f(x) = L, then when x is near a the corres...

A: For limit to exist, Left hand limit (LHL) and right hand limit (RHL) both should exist and equal to ...

Q: 3. Use the definition of continuity and the properties of limits to show that the function is contin...

A: As per our guidelines we are supposed to answer only one question i.e. the question no (a). For the ...

Q: 2. The rate at which a phase transformation proceeds depends on the time t and the dt transformed vo...

A: Rate of Phase transformation is gievn bydydt=4kt3(1-y)We need to find y as function of t.  

Q: (IV) Give the standard form for the 3D TANGENT LINE to the associated curve: r (t) = ( 2 sin (t), 3 ...

A:

Q: Suppose g(x) = f(3+4(x – 5)) and f'(3) = 4. -

A:

Q: dy (x2 — 9) + ху %3D0 + ху — 0 dx

A:

Q: (x² + y²)dx + 3xydy = 0

A:

Q: Subtract. Simplify by collecting like radical terms, if possible. 7/7- 11/7 7./7 - 11/7 =O (Type an ...

A:

Q: Find the indicated derivative. 11) Find y " if y = 3x sin x. A) y " =- 3x sin x C) y" = - 6 cos x +3...

A:

Q: 2. 4. 14TC 9) csc - 3. 11) sin 13) tan 3. 15) sin 17) cos 0 19) cot 4.

A:

Q: 1 Compute 7' (t) where 7(t) : t+1

A:

Q: Simplify. - V4 = 0

A:

Q: cos (82)*da 3. %3D

A: To evaluate:∫cos8x3dx

Q: Evaluate the indefinite integral. 3x sin(4x)dx

A: The given integral,      ∫e3xsin(4x)dx

Q: Find the linear approximation to f(x) cos(x) at x = 0. O L(x) = O L(x) = 1 O L(x) = 1+ x O L(x) = 1 ...

A:

Q: Given the series: 25 125 3 + +. 72 12

A:

Q: a) The Mean Value Theorem for differentiation states that if f(x) is continuous on a closed interval...

A: Given that the Mean Value Theorem for differentiation states that if f(x) is continuous on a closed ...

Q: A. Sketch the graph of the function, not by plotting points, but by starting with the graph of a sta...

A:

Q: Which Riemann sum represents the illustration shown? 2.25 1.75 1.5 1.25 0.75 0.5 0.25 0.25 0.5 0.751...

A:

Q: In two or more complete sentences, explain how to find the time it takes for a rocket following the ...

A:

Q: 4. S(x) = log,(-x)

A:

Q: If f(x) 3. find f'(4).

A:

Q: > [1] [(4x³ + x)V4x² + 1dx > [2] S(2x7/2 – væ)* dx > [3] S V1 + 2sin3xcos3xdx

A: See this solution 

Q: Classify the number as a member of one of the following sets: the rational numbers, the integers, th...

A: 103Since 103 is prime number.Therefore,

Q: Question 13 Solve the equation a? + 4x 1(16 +4x). The smaller answer is: the larger answer is:

A:

Q: Learning Task 1: What inequality true. 1. 2x = 6 %3D 2. 2x + 2 = 8 3. =D3 6.

A:

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms c...

A: The given sequence is:  8, 7, 6, 5, 4, ... 

Q: If f(1) = 3, f'(1) = 4, g(2) = 2, and g'(2) = 8, find F'(1). F'(1) = ... NOTE: This problem is a bit...

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: 3. Consider the graph of h(x)=|sin(2x)|on the interval -- 2 2 a. List any x-values at which h(x) is ...

A:

Q: 1. f(x)=5**1

A: Answer: the solution is as given below :   

Q: y = (3 + e“)“ dy Use Logarithmic Differentiation to find dx dy

A: We are asked evaluate the derivatives

Q: [5an28 elan 20 sec 2 Bdß 1. e²x +2e* - dx e* +1 2.

A:

Q: Solve the inequality,and write the solution using interval notation.

A: The given inequality is:x2+4x-12>0To solve the inequality, and write the solution using interval ...

Q: If f(x) = 5xh(=), find f'(7). %3D

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find the derivative of the 1 f(x) = x5 + (x² + 7)(x² – x – 2) + 17 5.

A: Given: fx=15x5+x2+7x2-x-2+17