nswer the following Truê ôr False! f(r) is an antiderivative of v(E), then f(x) + 8 is an antiderivative of v(x) + 8. O True O False

Q: 3. A container in the shape of a right circular cylinder with no top has surface area 3n ft2. What…

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Q: 1 64. f (x) = (1 – æ)*

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Q: Find the length of the curve y = = cosh(x), 0 < x < 1. Arc length =

A: Arc length of a curve y=f(x) on [a,b] is given by, L=∫ab1+y'2dx ddxsinh(x)=cosh(x)…

Q: Find the 24th derivative of y = -sinx

A: Topic = Derivative    The 24th derivative isy24 =-sinx

Q: y" + y' + 2y = 0, y(0) = y'(0) = 0

A:

Q: Why do we use radians rather than degrees in Grade 12 math? You may use examples to explain your…

A: We use radians rather than degrees because of below reasons.

Q: Find minima, makima and Snddle paint for the functionss 4x-6xy+ 5y-20 x +26y +34 f (X,y) 6x²-2x 2 2…

A: To find the maxima, minima, and saddle point for the given functions.

Q: The base of a three-dimensional figure is bound by the circle x2 + y? = 9. Vertical cross sections…

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Q: 3- 4- f Cx,y) = 2 Lux +Lny-4X-y

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Q: (x2 + 8y²)dx – 6xydy = 0

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Q: Find the volume of the parallelepiped with the given vertices . (0, 0, 0), (0, 4, 0), (-3, 0, 0),…

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Q: Find the volume of the solid generated by revolving the area of circle: (x-2)²+y²=4; about the x…

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Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate…

A: Given: I=∫08dxx3   As we know that; The Power rule: ∫xndx=xn+1n+1+C  ; n≠-1

Q: 2. |xArccos Cx) dx

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Q: Directions: In implicit differentiation, we differentiate each side of an equation with two…

A: according to company rules we can answer only first question and rest can be reposted.

Q: . a. Approximate y = e# using the Taylor polynomial P3 (æ) of y = e at 0. а.

A: taylor polynimial formula and steps I given below.

Q: (v- 2) dy -(x-V=1) dy = 0 ans y- 3 =(2- v) In Icly -2 )I

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Q: dy #1. Use implicit differentiation to find for each of the following relations: dx x' +y' = 6 2.xy…

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Q: Use Newton's method to find the two real solutions of the equation x* - 2x° – x - 3

A: Solving Newton method

Q: (c) Find parametric equations to represent the red line in the graph below. 10 (-2, 7) (6, 3) -5 10…

A: This is a problem related to equation of line. Based on the general formula of line equation we will…

Q: A rectangle is expanding such that its length is always 4 times its width. If the width is…

A: Let's find.

Q: Streaming Music Consumers are spending more on music from digital sources than they do on CDs.…

A: f(t) =3.7+ln(t+1)(a)in 2012 , t=0f(0)= 3.7 +0.84 ln(0+1) = 3.7+ln1=3.7+0f(0)=3.7Amount spent by…

Q: (a) A function f (x) is given as 1 x0 2x Evaluate lim f(x) numerically by constructing a table. (b)…

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Q: Evaluate the following IMPROPER INTEGRALS, It is optional to double check your answers/solution for…

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Q: COn 8 Question 12 dx is equivalent to what trigonometric expression when solved using trigonometric…

A: Question no. 13 is not visible proper ,you can repost again

Q: Given the vectors, ū = -3i+2j and = 4i – j, find 4ü-27. %3D (-20,10) (20,-10) (-20,-10) (20,10)

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Q: -8 17 ane = -15/8

A:

Q: A medical researcher believes that the human immune system produces antibodies to a particular…

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Q: e2x -e-2x e2x+e-2x

A: Solving the problem by finding the second derivative.

Q: ,x 1 Is the function k(x) = {x²-1 2,x = 1 continuous at x = 1?

A: We use L' hospital rule to find the limit.

Q: (2х — Зу + 1)dх — (3х + 2у — 4)dy %3D 0

A: To solve the given first order differential equation.

Q: Find the fourth degree Taylor polynomial, T (2), for f(z) at 4. f(x) = 5 In(r - 3) – 4 a) Find the…

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Q: x'+ x°)dx (x³+5) to 3

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Q: e3x _e-3x Y = e3x +e-3x]

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Q: [7 3 -5 Q1\ A- 1- if A = 0 4 and B= 3A;C = B+5I find matrix D such that 1 4 D= 2A+B-C

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Q: 2 2 X = 1+t2 y=r(1+t?)

A: To find second derivative of given function.

Q: Directions: In implicit differentiation, we differentiate each side of an equation with two…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: r = 4 sin 0 – 2 cos e by finding a Cartesian equation of the curve. Find a polar equation for the…

A:

Q: (a) The graph of a piecewise function, ƒ (x) is plotted in Figure 1. Discuss the continuity of f (x)…

A: Given

Q: Just algebkaiçal fing the inverse function of f in formally VeRify that f(e10)) =x and

A: Here, to find the inverse of each function and then verify f-1(f(x))=f(f-1(x))=x

Q: In each part, use a scalar triple product to determine whether the vectors lie in the same plane.…

A: Vector lies in the same plane if their scalar triple product is zero

Q: Solve the differential equation: dx+(x-y+2)^2dy=0

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Q: 2. Determine whether the following integral is convergent or divergent. Do not guess! 4 dx x2 – x -…

A: To determine whether the following integral is convergent or divergent.∫04dxx2-x-2

Q: A 20-foot ladder is leaning against a vertical wall. Suppose the base of the ladder slides away from…

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Q: Si x³VI+x* dx? After substitution is performed, what is equivalent to 82 4 vũ du 82 Vũ du 82 Vu du 4…

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Q: When the price of a certain commodity is p dollars per unit, the manufacturer is willing to supply x…

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Q: 1. Evaluate the following iterated integral. 16 4 dydr

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Q: Find the length of the curve defined by y = 3 In 3 from x = 8 to x = 9.

A: Use derivative of function and length of curve formula .

Q: An open box is to be made from a 16 inches long and 10 inches wide rectangular pieceof metal by…

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Q: 2.ryda + (a² – 1)dy = 0

A: As per guidelines we have to solve one question