Find the exact area of the surface obtained by rotating the curve about the x-axis. y = square root(1+e^x)   1 + ex,    0 ≤ x ≤ 1

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A: topic- indefinite integral

Q: 2х+5 9. Find the derivative of the function (x) = Simplify your answer. Show your 2х-3

A: 9. fx=2x+52x-3f'x=22x-3-22x+52x-32=-162x-32f'x=-162x-3210.gx=cos25xg' x=2cos5x-sin5x5g' x=-10cos5xsi...

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. x = 1 + 3y2,   ...

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Q: /2 1. Let F(x) = f(t) dt and G(x) g(t) dt, where the graphs of f(x) and g(x) on [0, 6] are below. 4 ...

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Q: a) logx5 32=1, then x=  b) 43x+4=18, then x=

A: Use  basic property of logarithmic function

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Q: In Exercises 33-36, use upper and lower sums to approximate the area of the region using the given n...

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Q: A app.crowdmark.com Crowdmark h Hulu | Watch For the function f ( x ) , which of the following Below...

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Q: 3. Find the relative maximum and minimum values and saddle point(s) of the function, S(x, y) = 2a + ...

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Q: I2x-1 1. \sx+61

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Q: Using Differentials In Exercises 29 and 30, use differentials and the graph of f to approximate (a) ...

A: Find your answer below 

Q: 3 Let f be a continuous function such that f(x) dæ = -6 and c10 c10 | f(x) dx = 3. What is the value...

A: ∫-2-3 f(x)dx = -6 so if we change the limit of integration ∫-3-2 f(x)dx =+6 ∫-210  f(x)dx =3 so ∫-31...

Q: Find the Wronskian of two solutions of the differential equation ty" – t(t – 6)y + (t – 5)y = 0 with...

A: Directly use the formula for the Wronskian of a differential equation. 

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Q: use the disk method to find the volume of the solid of revolution generated by revolving the region ...

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Q: Find the derivative of the function. g(x) = 4eVx g'(x) =

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Q: dy by using Leibniz's notation for the chain rule: dx iven y = f(u) and u = g(x), find y dy du %3D d...

A: Given query is to find the derivative of the expression.

Q: Apply your understanding of vector operations to simplify the following algebraically: 3(u+v)−3(u−v...

A: Given query is to simplify the expression.

Q: Evaluate the integral ,(x2 – 2y²) dA, where R is the first quadrant region between the circles of ra...

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Q: The function f  whose graph is given has a discontinuity at x=4 since  does not exist. Prove true o...

A: Topic:- function

Q: Find the total differential of the function f(2, y,) : y + z' df = dæ + dy + dz (y+2)* (y+2)* y+z dz...

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Q: 23) Find the SLOPE m = at the point (2, 0). [Hint: sin 0=0 and cos 0 =1] A) 2 of a tangent line to t...

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Q: A division of a certain company manufactures a pager. The weekly fixed cost for the division is $20,...

A: Given  fixed cost = $20000 variable cost V(x) = 0.000001x3 − 0.03x2 + 70x Total cost  c(x) = fixed c...

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Q: Improper Integrals - Integrating a Discontinuous Integrand. In this problem our goal is to determine...

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Q: Find the derivative of h(x) = cos (2x3 - 5). %3D Provide your answer below: W(x)= O %3D

A: We will find the derivative of h(x) in the following step.

Q: Express −i+j in the form [a,b]

A: Simplification

Q: A box is partially filled with liquid. The length of the box is 18 inches. The width of the box is 1...

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Q: 4 1 1 4 3. Prove that [(s²t ) ds dt = [ [(s?t) dt ds. 20 0 2

A: Firstly , we can prove left hand side and after that we can prove right hand side. ∫xn dx =xn+1n+1+...

Q: 4 cV16-x² 3. Evaluate the integral L-rz(4 –- x² – y²)dy dx by first converting it to | /16-x² polar ...

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Q: Use the given information to determine the values of the remaining five trigonometric functions. (As...

A: Solution ) sin A = 3/5 We know sin2 θ + cos2θ = 1 1)cos θ = √( 1 - sin2θ) cos θ = √( 1 - ( 3/5)2) co...

Q: 27 at z = 0. Find the equation of the tangent line to the graph of y(z) = Equation of the tangent li...

A: Find the equation of tangent line to the graph of y= 2x/√(1-x2) at x=0 . 

Q: The regions A, B, C, and D in the figure below are bounded by the graph of the function f and the x-...

A: Given query is to find the average value of the function.

Q: d all points on the graph of the function f(I) = 2 sin z + sin z, 0 <I< 27 at which the tangent line...

A: Given query is to find the points where tangent is horizontal.

Q: 1.) What do you think the world will be like if Calculus wasn't discovered?

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Q: The total cost of producing x items is given by C(x) = 246.74 + | 3t dt- Find the fixed cost and the...

A: The given problem is solved below in detail.

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

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Q: lim 1-2 2x2-x-6 -1 lim -2

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

Q: Find the gradient of the function at the given point. f(x, y) = 5x + 3y2 + 5, (4, 1) Vf(4, 1) =

A: f(x,y)=5x+3y2+5 fx(x,y,z)=5fy(x,y,z)=3(2y)=6y∇f =fx(x,y,z) i +fy(x,y,z) j

Q: Let k(x) : (4x-)g(x)h(x). Given the following table of Val %3D -1 1 3 h(x) 1 -3 0. 3 g(x) 3 -4 0. h'...

A: topic - derivatives

Q: 4. A concert promoter has found that if she sells tickets for S50 each, she can sall 1200 tickets, a...

A: Explanation of the answer is as follows

Q: For the following series, test for convergence by the ratio test. 1 1 (-1)"n + (-1)"-1(n + 1) - ... ...

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Q: (a) Show that the following identity is true 1 1 2n +1 n2 (n+ 1)² n²(n + 1)² (b) Use the identity in...

A: Sum