DO NOT include spaces in between characters. * s² – a² Find the value of r' at s = 2a if r(s) = %3D %3D s+a?

Q: Use the position function s(t) = -16t2 + vt + s, for free-falling objects. %3D A ball is thrown stra...

A: keeping a note ?as per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Ki...

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A: Vectors with opposite directions have 180° angle between them.x and y components have opposite signs...

Q: 1. Calculate the area enclosed by the line y 2x + 3, the x-axis, and the lines x 1 and x- 3.

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Q: Suppose that a particle moves along a straight line with acceleration a(t) = 5 – 2t , where 0 <t < 2...

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Q: 3sin-1x, if -1< x< 0 f(x) = x2+ Tt if x20 x+cosx'

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Q: f (x) %3D х* — Зх3 + 2x? +х — 1. 1.Know the function Find the Taylor polynomial for а = 2 and orde= ...

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Q: Use špheričal čoördiñatės. Evaluate tet dv, where E is the portion of the unit ball x2 + y² + z² s 1...

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Q: 4. Which of the following statements about the definite integral is/are false? f(x)dx=1 II. f(ex)dx=...

A: Given three option We should check the condition is true or false And identify which is false

Q: Suppose that the functions f and g and their derivatives with respect to x have the following values...

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Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 4 and a root of multiplicity 1...

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Q: Let f be a function such that / rf (4x + 3) dx = 2. Write an equation that 2 an be inferred involvin...

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Q: let z- 57 dy .. dy By chain Ruie

A: The objective is to find the second derivative using chain rule.

Q: H. Grven F(xy,2) = 9x²+y² +%Ž-37 . Frind the equation of the tangent plane and ormal line to the cur...

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Q: Find f x) and f xof fCx) = 11x³

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Q: Find the volume of the solid obtained by rotating the region bounded by y= 2 andy = = 2x about the l...

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Q: y = 4 – x2 from x = -3 to x = 3.

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the i...

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Q: Determine the x- and y-coordinates of the centroid of the shaded area. Assume c = 9, a = 1.15, b = 2...

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Q: Obtain the general solution to the following separable ODES; if there is an initial condition given,...

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Q: s² -a² Find the value of r' at s = 2 S* +a | 2a if r(s) = %3D

A: Find your answer below 

Q: 3a + 4b = ( lal =

A: The objective is to solve the above question.

Q: lim(32x-3 + 5) X4

A: The given limit,        limx→432x-3+5

Q: DO NOT include the variable in your answer. Given the graph off'(x) below, what is the slope of the ...

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: We know that for the vector u = ai + bj + ck, the unit vector is  u^ = aa2+b2+c2i + ba2+b2+c2j + ca2...

Q: y = 3x2 from x = 1 to x = 2.

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Q: Solve the following initial value problem. y6) -2y" +y' 3 + 7x e*; y(0)=y'(0) = 0, y"(0)= 1 The solu...

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Q: b) The area bound by the curve y = 2x + 1 and the y-axis is rotated about the y axis between y = 2 a...

A: We need to calculate the volume.

Q: A series is the sum of the terms of a sequence. To indicate the sum, we use sigma E notation. Write ...

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflect...

A: Given problem:-

Q: 12 DO NOT include spaces in between characters. * Find the equation of the tangent line to the graph...

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Q: dw 21. : 1-cosw A. -tan w + secw + C B. w – cotw + C C.-cotw – cscw + C_ D. -cscw + tanw + C

A: We can find the integral value as below.

Q: Find the coordinates of a point on a circle with radius 20 corresponding to an angle of 175 degrees

A: Given query is to find the coordinates of the point.

Q: 93x88

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Q: Prove that lim (4x² – 25) = -9. X→2

A: We will prove this by definition of limit as follows 

Q: 10. An electric scooter manufacturer estimates that the cost C (in dollars) of producing x scooters ...

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Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x = 3 and...

A: Given query is to find the formula for polynomial p(x).

Q: 1 Find the derivative of g(x) = Vx-1 Find f'(x) and f"(x) of f(x) = 11x³.

A: Here we have to find the derivatives of the given function.

Q: x2 3 |5 – x + C а. 5 – x3 - cos t dt 1 + sin t In 1+ sin(t)|+C b.

A: integration

Q: using the first derivative test, determine the relative extrema of the function f(x)= 1/3x3-2x2-5x-1...

A: Given query is to find the extrimas for the function.

Q: Find the general solution of the differential equation. 55y4) + 49y" + 4y= 0 y(x) =D %3D

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Q: Find

A: We will find the derivative of the above function using logarithmic differentiation. 

Q: Prove that lim (9x* - 25) = -9

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Q: Find the slope of the curve defined by the equation yx^2 – 8 = 0 at the point (2,2)?  a. 2 b. –1 c. ...

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Q: Consider the following. f(x) = 3x – 6 cos(x), -2 sxs0 Use technology to estimate the absolute maximu...

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Q: Solve the problem in simplest form and complete solution. Find u and du if possible. coss 2x dx | si...

A: Given: I=∫cos52xsin22xdx  ...1   We know that; The Power rule: ∫xndx=∫xn+1n+1+C ; n≠-1  

Q: Find the indefinite integral and check the result by differentiating.

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Q: If 69 + 5 f(x) + 2x²(f(x))³ = 0 and f(1) = -3, find f'(1). f'(1) =

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Q: Prove that lim(4x2 – 25) = -9 x-2

A: First we use the formula a2-b2=(a-b)(a+b) then put the limit.

Q: Find the equation of the tangent line to the curve y = x + 5x^2 - 3 which is passing thru point (1,3...

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Q: du 13. (1 + t) - + u = 1 + t, t> 0 dt dr + r = te' dt 14. t In t

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