f(x)=xe*, a =0

Q: dw dw For the functions w= - 4x² - 2y2, x= cost, and y= sint, express as a function of t, both by…

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Q: The area of the region bounded by the curve y = x² and the line y = 16 64/3 256/3 128/3 32/3

A: Given :   y=x2 y=16

Q: Set up, but do not evaluate, the integral for the surface area of the solid obtained by 3x rotating…

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Q: Drogon (The dragon) wants to fly to an island which is 1200 km away at a heading of [N42°W]. There…

A: We have to draw the diagram and time required.

Q: Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a…

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Q: Evaluate ³9x³y² dydz Select one: a. 3360 O b. 1280 OC 2245 O d. 652

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Q: The graph of y=f(x) is shown. Draw the graph of y = -f(x). 17 Ex X 3

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = 2 e* cos (yz),…

A: We can solve this as follows:

Q: If the sides of an equilateral triangle are increasing at a rate of 6 m/min. How fast is the area of…

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Q: 4. A stone dropped in a pond sends out a circular ripple whose radius increases at a constant rate…

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Q: Find the length of the are of the function x² = 4y from x = -3 to x = 3.

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Q: Find Value of integral ) dx X+1

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

Q: You are to form 3-digit numbers from the digits 1 to 5. How many 3 digit numbers can be formed if a)…

A: Solution of given question is written in below steps.

Q: 5) (2,0°) -3 (4) 7) 4 ---22 -1 2 + 21 -1 D | x

A: We know that if r, θ is the polar coordinates then the rectangular coordinates is r cos θ, r sin θ.

Q: Using the fact that the centroid of a triangle lies at the intersection of the triangle's medians,…

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Q: Determine the indefinite integral. 25 dx x In 7x 25 S= Sx157x x In 7x dx =

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Q: A right circular cone has a constant height of 10 m. Find the rate of change of its volume with…

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Q: -1 √₂² (3+2u) du -2

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Q: 5x=2 5. Find the member of the curve whose slope at any point is y+s point (3, 2) and passes through…

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Q: Find the length of the curve y = ln sin x from t = −2 to t = 0.

A: f(x)=y=ln(sinx) Arc length =∫ab1+(f'(x))2dx f'(x)=dln(sinx)dx=1sinxdsinxdx=cosxsinx=cotx a=-2 b=0

Q: √x³√1-x² 2

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Q: 9. Determine the position of the centroid of a sheet of metal formed by the curve y = 4x - x² which…

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Q: Sx". .n-1 + n[x²- x" sin x dx = -x cos x + n cos x dx

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Q: The general solution of y” + 4y = 3 sin 2x

A: Given differential equation, y"+4y=3sin2x...(i) So, corresponding homogeneous equation,…

Q: 4) Given the points A(1, 2, 3), B(5, 4, 3), and C(2, 1, 2), find angle C

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Q: Electric charge is distributed over the disk x² + y² ≤ 11 so that the charge density at (x,y) is…

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Q: answer a and b. Use implicit differentiation to find an equation of the tangent line to the curve at…

A: This question is based on finding tangent line using implicit differentiation.

Q: 5. Find the general equation of the circle of curvature of the parametric equation X= ;y=+√6(t+1);…

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Q: Perform bisection method on approximating the root of the equation x³ + x²-x + 7 = 0. Use initial…

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Q: Refer to the given figure, if ABCD and m/2 = m25= 70°, complete the table by finding the measures of…

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Q: Find the area bounded by the parabolas y = 6x - x² and y=x² – 2x. Select one: O a. sq. units b. sq.…

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Q: 12. Find the integral of S (x². √(x² + ² =) dx

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Q: Find the slope and the rate of change of the slope with respect to x when x = 2 cos (3t) - 3 sin(2t)…

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Q: Given: g(x) = x² + 4x=2 Find and simplify (g°g)

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Q: A company has a security system that uses digits from 1 to 6. a) How many 3-digit security codes are…

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Q: 12x A company has found that the marginal cost (in thousands of dollars) to produce x central air…

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Q: f cot x dx Select one: a. In sina+c + c + c + c O b. In sec x oc. In csc r od. In cos x

A: cotx = cosx/sinx

Q: Find the critical points and sketch the graph of the function.

A: Topic:- application of derivatives

Q: whose equation is y³ + 2xy + x² = 9 Using techniques we have learned in our course, perform the…

A: Given query is to find the derivative and equation of the tangent.

Q: Find L(e³t cos 2t) Your answer with CamScanner

A: A detailed solution is given below.

Q: The total revenue for a product can be calculated as the area under the demand curve. Suppose that…

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Q: A parabola has an equation of y-32= 0. Compute for the surface area of the solid generated by…

A: Given: y=3x12 At y=0, x=0 The surface area of the surface of revolution formed by revolving the…

Q: Compute the derivative d/dx of the following functions: f(x) = x cos^2(4x)

A: The given function is: fx=xcos24x   As we know that; The Product rule: f·g'=f'·g+f·g' The Chain…

Q: Convert each pair of polar coordinates to rectangular coordinates 1. (3, 225 degrees

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: x³ - 125 lim x-5 x - 5

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Q: [2x.ex dx=2x.e-fe.2dx =2x.e- er.2 =2e* (x-1) H.W. 2-1x3.ex de 3- f x2. cosx dx 들 27

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Q: Evaluate the equation for f Select one: a. 0.5 b. -1 Oc. 2 Gd. 1 dzdy

A: Let I=∫01∫yy21y2-x2dxdyLetI=∫01(I2)dy                                    (1)WhereI2=∫yy21y2-x2dxWe…

Q: 8.1 PLEASE TYPEWRITTEN FOR UPVOTE. SHOW YOUR COMPLETE SOLUTION.

A: To find out the family of curves whose slope is given.

Q: 1. Evaluate the given integral Q. JR (y - 2x) dA, R where R is the region bounded by x = 0, y = x, x…

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Q: Consider the functions z= - e In y, x= In (u cos v), and y = u sin v. dz dz (a) Express and as…

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