10. Find a formula for the function f(x), given the information that f is continuous and th f(t) + [²² 4x + t dt = sin x

Q: Match each polar coordinate equation with a description of its graph. 1.0=3 A. vertical line B.…

A: Given:  (1)  θ = 3   (2)  r = 3   (3)  r = 3 cos θ

Q: 1-4x7 lim x++∞ x7 + 12x

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Q: Solve the following differential equation. 2xy - 9x² + (2y + x² +1) dy dr = 0

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

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Q: Find the equation in polar coordinates of the line through the origin with slope 1/7 θ=?

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Q: Solve the initial value problem using the method of Separation of Variables. y' - x³y=0; y(0) = 2

A: Given query is to find the solution of the differential equation.

Q: A peach grower finds that if he plants 60 trees per acre, each tree will yield 60 bushels of…

A: sol:- let x be the number of trees per acres than number of tress per acre be (60+x) and the yield…

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

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Q: Suppose that the position of a particle is given by s = f(t): 5t³ + 6t + 9. (a) Find the velocity…

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Q: 2. √ In x da; u = lnx, dv=√x dx và u= do

A: The given integration is: ∫xlnx dx To find the value of integration.

Q: S Sinx-cosy-2=0 ; 16) A) -cot X B) -cot y d) -cscy cos X E) dy = ? ax c) Cos X Sin гу 2-CCSX siny

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Q: Determine the limit by sketching an appropriate graph. for x

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Q: A forest fire is found at midnight. It covers 1200 acres then. It is spreading at a rate of f(t) =…

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Q: For the equation given below, evaluate y' at the point (2, –1). y'at (2, -1) = e³ + 10 − e¯¹ = 2x² +…

A: To find derivative of the given function.

Q: siven that f(x) 3x+2 find f (x)

A: Given query is to find inverse function.

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Q: Suppose that f(x, y) D = I and the region D is given by {(x, y) | 3 ≤ x ≤ 4,1 ≤ y ≤ 4}. Y Then the…

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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: Amanda invests $7000 in a new savings account which earns 5.0% annual interest, compounded…

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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: f(x)= x^2log(x) look at the graph to find which function dominate the polynominal or the logarithm.…

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Q: 2) Given that tan o= 3 where & is quadrant III 0 9 find seco b) Given that csc o² = -9 where of is…

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Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

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Q: Find the curvature of the curve r(t) = (-3t, – 5t5, – 3t¹) at the point t = 2. Give your answer to 2…

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Q: 6. Consider the function f(x) = e¹/x. (a) What is the domain of f(x)? (b) Find all vertical…

A: By drawing a graph of y=e^1/x  We can clearly see

Q: 8. An application to mecanics A particule x(t) of mass 1kg is moving along an horizontal straight…

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Q: Find the area of the region bounded by the given curve: r = 3eº 2 on the intervalπ ≤ 0 ≤ 2π. 3″

A: Concept let r = f( θ ) θ1 ≤ θ ≤ θ2then area bounded by the curve A = 12∫r dθ

Q: 7) f(x) = x(x + 3)²(x-7)4 Degree: End behavior: lim f(x) =_ x48 Leading coefficient: lim f(x) =_…

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

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Q: A rectangle is to be inscribed in an isosceles right triangle in such a way that one vertex of the…

A: Let's find largest area , width and length.

Q: The value of 5 1 x² [³ - dx is

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

Q: Find the domain and range of g(x)= In(tanx) on [0,1]. Show some work or explanation.

A: The given function gx=lntan x on 0, π. We have to find its domain and range.

Q: Givin that f(x) = 2x²-5X-3 find all values of x for which fix) = 9

A: Solve as general

Q: 1. y(y³ − x) dx + x(y² + x)dy=0

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Find a power series representation for the function. (Give your power series representation centered…

A: Given fx=ln11-x We need to determine the radius of convergence.

Q: Given vectors u = (-2, 23) and v = Provide your answer below: (-2, 26), find vector u — v.

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Q: 8 3 3.s²+12 $²+49 +

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Q: Solve the differential equation with initial condition. y + y = 0, y(0) = 4

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Q: Find the equation on the parabola that has it vertex at the origin and satisfies the conditions:…

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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: Find the derivative. 10) y = 8x-2-9x3 + 2x

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Q: 1 (6405 #3 p. 320) Let R denote the region bounded by the curve y = the y-axis, the z-axis, x² +1…

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Q: cả tên l x-6 The graph of R(x)= Find the equations of any vertical, horizontal, or oblique…

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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: Find an equation of the normal line to the curve y = In x that is parallel to the line x + 2y 1 = 0.

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Q: Which of the limits is equivalent to the following definite integral? Se e² dr Choose 1 answer: B…

A: To determine the limits which is equivalent to the following definite integral.∫03ex dx

Q: Evaluate (2xy³ − y² cosx) dx + (1 – 2ysinx + 3x²y² )dy y² from (0,0) to (ñ/2, 1) along the parabola…

A: According to question,Given Integral,∫c2xy3-y2 cos x dx + 1-2y sin x + 3x2y2 dy

Q: Find the value of X 56 35 イメー

A: Given query is to find the value of x.