The graph, when the curve y=v(3+ x^2 ) from x = 0 to x = 4 is rotated about x - axis is ....

Q: Part 4: A derivative computation using the FTC and the chain rule d d (F(2*)) = dx dt |3| e dx 20

A: Topic:- application of integration and derivatives

Q: Area under the curve x + y = 3 and the coordinate axis

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Q: Evaluate the line integral below over the path c(t) = (t², sin(#), e-3t+4) over the interval 0 < t <…

A: We have to evaluate the line integral.

Q: Suppose f(x) is a function that satisfies the following inequality for all x: 1+3 cos(x) < f(x) <…

A: Solution: The given inequality is

Q: What is the exact value of csc(– 1305°)? V3 A B D 2.

A: using csc(-x)=-csc(x) and  csc(360n+x)=csc(x)

Q: Question 9B.)

A: Topic:- function

Q: 1. If sin 0 =, and 0 is in QI, find sec 0. 2. Given cos e = .e is in QIV, find csc 0. 3

A: We have to find out the trigonometric ratios

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Q: ACTIVITY 1: Determine if the following functions are continuous at the given value of x. If the…

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Q: Using the method of LaPlace Transform, solve the following IVPs a.) y" + 8y' + 25y = 13e-2t…

A: As per bartleby guidelines we only give first question answers because questions are lengthy.

Q: Find the dy/dx: Given y = 3x +2x-1

A: solution:-y=f(x)=3x2+2x-1f(x+h)=3(x+h)2+2(x+h)-1             =3x2+2xh+h2+2(x+h)-1…

Q: Calculate the following limit: lim( lim(3) e-5z+6 2-9 O 1/6 0 1 O does not exist

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Q: Which of the following angle measure is coterminal with an angle whose measure is 798°? -78° -278°…

A: Let the angle be theta.

Q: . A decorator, who is a monopolist, makes two types of specialty picture frames. From experience,…

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Q: . Evaluate the following: (ey)dy dx A. e -1 2. В e-1 С. 2е +7 D.

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

Q: If f(1) = 13, f' is continuous, and f'(t) dt = 28, what is the value of f(4)?

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Q: Find the area under the curve リ=x rom x=0 o X=|.

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Q: Use TRIGONOMETRIC SUBSTITUTION 1 to find f dm m²V9-m2

A: LetI=∫1m29-m2dmI=∫1m232-m2dmSubstitute m=3sin(x)Differentiate…

Q: 1. For the right triangle pictured below, find the exact values of each of the following (no…

A: See this solution in below

Q: Find f) (0), for f(8) = 2 cos(36), using pattern recognition. (Don't take 22 %3D derivatives!) What…

A: Given: fθ=2cos3θ Formulas used: ddxcosx=-sinxddxsinx=cosxddxxn=nxn-1ddxCfx=Cddxfx…

Q: Converting 1530 degrees to radians will correspond to which value? 19n 3 201 B 3 29Tt

A: The value of θ° to radians is given by        ∅ = θ×π180  radians

Q: 2x + 3 x² + 2x + 4

A: To integrate the rational function. ∫2x+3x2+2x+4 dx

Q: B. Directions: Compute the definite integral of the following functions using the Substitution Rule.…

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Q: 6. Evaluate the following: (ey)dy dx 0. A. e-1 e-1 C. 2e +7 2. D. e?

A: Given: I=∫01∫0y3exydydx   As we know the basic integral formula; ∫eax+bdx=1aeax+b+C

Q: Problem set 1 (Plane Figures) Solve the problems below using the following steps; i.) Sketch the…

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Q: 4. csc 2x cx

A: The integration of the integral is csc52x.

Q: 8. Find the inverse function of: f(x) =-6 x3 %3D

A: The given function is: f(x)=x38-64 Let, y=f(x)

Q: The function s(t) describes the motion of a partide along a line. s(t) = 12t – 2 (a) Find the…

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Q: Which of the following statements involving sigma notation is always true? η η η Α) E (ak bR) = E…

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Q: EVALUATE THE FOLLOWING cot x dx 4 sınx + csC X 1.

A: A detailed solution is given below

Q: Determine the exact solution of the following differential equation y = 2 - y at y(0) =1. So the…

A: See this solution in below

Q: B. Determine dy/dx for the tollowing a. x + y2 =9 b. y-y+1 = x + 2 C. X³ - 8y³ =Y I.

A: According to our guidelines, In case of questions with multiple subparts we are supposed to answer…

Q: Homogeneou dinan Equati on Oblain the differemtial equation 1. y= 7-2x + e

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Q: Area under the curve xy = -1 from x=1 to x=2

A: topic - area under the curve

Q: Find the volume of solid generated by revolving the area enclosed by: x = y2 + 1, x=0, y=0 and y=2…

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Q: Find the dy/dx: Given tan (x²) y =

A: Differentiate with respect to x.

Q: Where on the curve of 1 does the tangent have the greatest positive slope? y = 1+ x? O 1) 3 3 O 2) 3…

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Q: 11. Given the functions: g(x) = tn(4 – x) and h(x) = 4 – x² find and simplify the following: (a) h(x…

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Q: SOLVE THE FOLLOWING PROBLEMS SHOWING EVERY DETAIL

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Q: V. Determine all the relative minimum and maximum values, and saddle points of the function h…

A: We want to find relative maximum, minimum and saddle points.

Q: x*- 2x³+x² xdx

A: ∫x4-2x3+x2xdx ∫x2x2-2x+1dx ∫x2(x-1)2dx ∫x2(x-1)dx ∫ x3 -x2dx x4/4 -x3/3 +c

Q: (D- 3)'( D + 9)y = 0

A: We can solve the give ODE as follows:

Q: to complete Problems Use >, , <, or = 8. 3 -5 -3 01

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Q: A woman 1.5 m tall walks directly away from a street light which is 6 m above the ground at a rate…

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Q: Find the volume gererot ed lby revolving the area bounded bay the parabolic arc Vx t vy = Ja and Hhe…

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Q: a. You are about to eat a slice of pizza and decide to do a little PreCalculus first. The entire…

A: Let's find volume of slice of pizza.

Q: x dx dy _dy V4 +

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Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

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Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of the Norman…

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