If f(x) = 7x5 - 6e", find: ƒ'(x) = ƒ' (1) = ƒ''(x) = ƒ'' (1) =

Q: Find the Taylor polynomials of degree n approximating cos(2x) for a near 0: For n = 2, P₂(x) = For n…

A:

Q: Find the numbers b such that the average value of f(x) = 3 + 8x − 6x2 on the interval [0, b] is…

A: formula for average value is  favg=1b-a∫abf(x)dx∫xndx=xn+1n+1+c

Q: Find the equation on the ellipse that has its center at the origin and satisfies the conditions:…

A: We have to find the equation on the ellipse that has its center at the origin and satisfies the…

Q: Solve for t:   7e-.045t=15

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Q: Solve the initial value problem. dy 27) dx = x(6+x²)²₁ y(0) = 0

A: Given query is to solve the differential equation.

Q: (19) Find the solution of the separable equations a) the general solution: b) the unique solution…

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Q: Convert from a Rectangular to a Polar Equation: f(x) → r. (x-3)² + y² = 9

A: We are required to convert the rectangular equation (x-3)2+y2=9  to polar equation

Q: Find dx for each of the following. 3 (a) y sin³x4 = (b) y + xy = 7

A:

Q: Consider the given differntial equation y'(t)= (y-2)(3+y) Find the soultions that are constant for…

A: Given: y'(t)= (y-2)(3+y)

Q: 2) Given the following graphs determine the end behavior using the formal limit notation (lim f(x)).…

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Q: Obtain the derived function for: y = x²+3 2x-1

A: dxndx=nxn-1  and dconstantdx=0d dx(ab)=bdadx-adbdxb2

Q: Evaluate. (Be s (In x 20 X (In x)20 dx X (Type an exac=

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) substitute…

Q: Find the slope of the tangent line to the function f(x) = X² x + 3 at the point (1, 1).

A: Recall: Slope of the tangent line to the function f(x) is, m=f'(x) at given point.

Q: Use implicit differentiation to find dy/dx in terms of x and y: x - 3y = 2xy

A: Differentiate

Q: 10. Find the area of one petal of the polar rose r = sin(40) as pictured below. 5A6 Kve 4TH 2 3m/2…

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Q: Given the following vectors, calculate −9v u=(-8,-4), v=(3,-2)

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Q: a. Find an equation of the tangent line at x = a b. Use a graphing utility to graph the curve and…

A: Given : for x = 2 , find derivative

Q: [ sin(lnx) x dx

A:

Q: - Evaluate: f Sin (x7 - 5) dx x

A: ∫sinxdx=-cosx+cdxndx=nxn-1

Q: Question 22 Find the average value of f(x) = 8x - 4 from 1 to 5. The average value of f(x) = 8x -…

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Q: The velocity of a particle traveling along a straight line is given by v(t) = 2(t² – 2t − 3) for 2 ≤…

A: INTRODUCTION:  The indefinite integral is typically carried out in troubles concerning distance,…

Q: A jogger runs around a circular track of radius 70 ft. Let (x, y) be her coordinates, where the…

A: GivenA jogger runs around a circular track of radius 70 ft.The coordinates of the jogger at any time…

Q: Consider the following. '11 du = Jo 7 √ 2x + 1 Let u = 2x + 1. Find du. dx dx Indicate how the…

A:

Q: Find the angle , in radians, in the given right triangle. The length of the side adjacent to is 19…

A: To find the value of the angle θ

Q: 10. Find a formula for the function f(x), given the information that f is continuous and th f(t) +…

A: Given that f is continuous and 4x+∫1xfttdt=sin x. We have to find the formula for fx.

Q: Find the smallest perimeter and the dimensions for a rectangle with an area of 4 in ²2. The smallest…

A: let the dimensions are length = y breadth = x Given area ( A ) = 4

Q: Evaluate the double integral for the function f(x, y) and the given region R. f(x, y) = 5x + 6y; R…

A: Double integral

Q: An airline finds that if it prices a cross-country ticket at $200, it will sell 400 tickets per day.…

A:

Q: Evaluate: Sin (sin ²¹ (2) + tan ¹ (-3)

A:

Q: equation, find  dy/dx  evaluated at the given values. x2y + y2x = 0  at  x = −4, y =

A: Given query is to find derivative.

Q: Which shows the angle 135° in standard position? O A. O B. 0 с. Ї Which shows the angle an in…

A:

Q: Sec² (x); dy = ? 15) y = Sec²(X) ; Jx A) 2 SecX B) 2 secx. Tanx D) Sec²x. Tan²x c) 2 secx. tanx E)…

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

Q: The first three terms of the Taylor series for COS approximation D a) 0.8092 b) 0.8089 c) 0.8090 d)…

A:

Q: when 36 = 5a 120 = loa 434 = lo b + 3o c + 3ob + 100 c loob +354C + 30a + ving equations by the…

A: Topic:- application of algebra

Q: . Let ƒ(x) = (x² - 4)³. Do the following. (a) Find the maximum value and the minimum value of f on…

A: We have to solve given Questions.

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

A: NOTE: Refresh your page if you can't see any equations. . the given equation is where P=population…

Q: 2 (b) ₁² ( + 6x) dx X

A: ∫xndx=xn+1n+1+c∫14(2x+6x)dx=2∫141xdx+6∫14xdx

Q: m(x)=ln(4-x^2) Find domain

A:

Q: average rate of change of f(x)=4x^2-7 between the pair of points (x,f(x) and (x+h,(f(x+h))

A: Given query is to find average rate of change.

Q: 5. The function f(x) is a continuous, decreasing function on [0,10] with a critical point at (4,2).…

A:

Q: 2- Find the equation of the tangent line to the curve 9xCos(7y) + 5y = 9 at y = 0.

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Q: Compute • d da - [In(1+x)²].

A: NOTE: Refresh your page if you can't see any equations. . use the log rule

Q: Let f(x) = k ln(x² + 3) + 5, where k < 0. Do the following. (a) Find the critical numbers of ƒ, and…

A: Given information: fx=klnx2+3 + 5, where k&lt;0 ------------------ Aim:…

Q: Find the limit. 5) lim 4 x-2+ x² - 4

A: To find:- limx→2+4x2-4

Q: Find the equation of the tangent line to the curve at the given point using implicit…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  and the given…

Q: 2. S2² 52. x² sin 2x dx

A:

Q: A forest fire is found at midnight. It covers 1100 acres then. It is spreading at a rate of f(t) =…

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Q: 2. Find the tangent line at the given point c(t) = (4t, In (t)); t = 1

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Q: Suppose ƒ(x, y) = √√x + y² - 8. Find an equation for the level curve of f that passes through the…

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Q: etch the region enclosed by y = 3x and y = 5x². Find the area of the region.

A: Topic:- application of integration