(-1,3) -2,1) (0,1)

Q: Use integration by part to obtain a formula for f x"e*dx and use it to find S x'e*dx. 3 5x

A: We have to find the integral

Q: Evaluate/Find the following integrals. 2 -3 dy 4. S 3 2 y +y 1 У

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Q: x(x* +y° )°(vdx – xdy)+ y°dy = 0 Ans. (x² +y³)' = 6y° In

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Q: Find the derivative of the following functions from first principles. (i) x? (ii) e (iii) log (x +…

A: derivative

Q: 4. Calculate the integral, f 4e" sinh x dx.

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Q: good

A: We will solve the integration using integration by parts.

Q: 4. V21+4:-z dz

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Q: if -2 <x< 0 f(x) dx where f(x) = 4 x2 if 0 < x< 2 -

A: This question is based on definite integral properties.

Q: 1) Calculate P(F|E), if P(E|F)= 0.19 P(E)= 0.96 P(F)= 0.02 Round your answer to five decimals

A: topic- probability

Q: Wt-1+2 dt

A: We will find the integral as following.

Q: A curve C is defined by the parametric equations x = 1– t2 y = t – t3 (a) Show that C has two…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: SV21-

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Q: Q3. Evaluate the integrals below. For each integral, first calculate the related indefinite inte-…

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Q: 8.) y Inxlny dx + dy = 0

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Question Consider the graph of f' (x) shown below in blue. Submit your answer to this question by…

A: 1. How many local minima does f(x) have? Slide the black point on upper left corner of the graph to…

Q: dx xVx -1 6.

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Q: y= {(z) -4 -3 -2 -1 3 7

A: We have to find the points

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: Find an equation of the line that passes through the points. (1, -2), (3, -2) Sketch the line.

A: Note to student : Hi. Thanks for posting your queries. But as per our Bartleby Answering Policy, we…

Q: 4dx Evaluate: S 3x+2

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Q: 2 (In x dx

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Q: Choose the graph of the function arccsc(x).

A: Given question:- Choose the graph of the function arccsc(x)

Q: cot e dv cot ( +9)1-cos? e Irm

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Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

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Q: 23. ** dx 4/5

A: Here ,we have given a definite integral.Now we solve it by using rules of integration. Then we put…

Q: * | 2x)cx csch (2 sin -1 V1-4x²

A: The given integral,       ∫csch2sin-12xdx1-4x2

Q: ylz)=e y(-2)=:

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Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

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Q: There are 14 children at a pirate-themed birthday party. You are going to draw four names from a hat…

A: By the knowledge of permutations and combinations we can approach this type of problems.

Q: Q2. Evaluate the integrals below by first using trigonometric identities to simplify the in-…

A: Please see the answer below.

Q: Find the absolute maximum and minimum values of each function over the indicated interval, and…

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Q: 1. Evaluate the indefinite integral, ſx² sinh x3 dx.

A: To evaluate the indefinite integral, ∫x2 sinh x3 dx.

Q: Find the radius of curvature of a parabola y2 – 4x = 0 at point (4, 4). A. 22.33 units B. 25.78…

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Q: 9. At high tide, the water level at a particular boat dock is 9 feet deep. At low tide the water is…

A: Find your answer below

Q: 1.What are the possible values for f"(x) if f"(x) exists and Ax,) > Ax,) for every x1 0 c. f'(x) =…

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Q: Evaluate the sum. 30 E(5j + 4)° j=1 (Give your answer as a whole or exact number.) 30 Esj + 4)° =…

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Q: Which graph closest models the following parametric equation on the domain -2 < t < 2? x (t) = t3 –…

A: Given that       x(t) = t3 - 2t      y(t) = t2 - 3

Q: Find the constant a such that the function is continuous on the entire real line. x 2 1 f(x) = x-4,…

A: Find your answer below

Q: 3 Simplify cos(arctan2). √5/5 no solution 2√5/5

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Q: Applications of Integral calculus 3. The following curves bounds a certain area: y = 4x – x2

A: Area bounded by a curve y=f(x) on [a,b] is given by, A= ∫abydx

Q: Determine

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Q: 11.)y- 2y y y= 3 when x = 0

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Use the elimination method to find all solutions of the system of equations. (Order your answers…

A: By using elimination method to find all solutions of the system of equations.2x2-y2=17x2+5y2=14

Q: Find the total area of the shaded regions. y=x√(36+x^2)

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Q: Determine whether the following functions are continuouuus or not. Are not, classify them as…

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Q: 3;) Find the välie of k isó that. the furnictioin %3D .kx*. .if. x 2 2. is. continuous .cvery iw…

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Q: Let a = ci + jand b = 2i + 10j. Find c so that a and b are orthogona C = i

A: Given: a=ci+j b=2i+10j.

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

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Q: Evaluate/Find the following integrals. 8x + 13 2. S -dx- 3 4x + 8x + x + 2 2

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Q: Let f(r) = x³ on [0, 1] and let Pn be the arithmetic partition that splits [0, 1] into n equal…

A: Given