Find the area bounded by the curve y= 16 (A) 8 square units (B) 4 square units (C) 10 square units (D) 16 square units 2+3x and the line y=x.

Q: eading due north at 500 km/h. If it encounters a wind from the northeast at 1 sultant velocity…

A: We will solve the problem.

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Q: Find an equation of the line tangent to the graph of f(x) = (4x-3)(x+2) at (1,3). The equation of…

A: topic- equation of tangent line to the graph

Q: y dy Vy+2 (√3+2-5) (5√3+2+7+21)+C (√3+2-5) (5√3+2-1+24) +C 3 Ⓒ(√3+2-5) (5√3+2+3y+24)+C…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Question 9 The volume of the solid generated by revolving the region bounded by x²=4y and y2=4x…

A: Solution is here

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A: We have to find ∫sinln(x) dxWe will apply formula for integration by parts.We know, ∫uv dx…

Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

A: Solution is here

Q: The cost (in dollars) of producing a units of a certain commodity is C(z) = 7000 + 18z +0.5x². (a)…

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Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

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A: Given.   x^2+y^2=sin^2z

Q: The volume of the solid generated by revolving the region bounded by x2=4y and y²=4x about y=4 is to…

A: Here, the region is bounded by the curves x2=4y⇒x=4y & y2=4x which is rotated around y=4 axis…

Q: Evaluate the integral S√x Inx dx 3 2 4 -x² Inx+ x² + C 03x³nx-x²+c 4 2 -x² Inx+ 2 C 15 3 2 4 °²x²nx…

A: We have to solve above integral

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Q: Use cofactor expansions to evaluate the determinants in Prob lems 1-6. Expand along the row or…

A: Please see the answer below.

Q: 2. Find the interval [a, b] for which the value of the integral (2 + x − x²) dx is a maximum.

A: ∫ab(2 + x -x2 )dx here for get maximum value we have to differentiate the function  so here first…

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A: topic- slope of a line

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Q: Ja cos³ 0 sin 20 de

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Q: (c) y = 1, y = 1/2, x = 2 (d) y = √x, y = 22, x=9 (e) x = 2y², x = 4 + y² (f) x = 1 - y², x = y² – 1…

A: The area between any two curves is given by formula A = ∫ [f(x) - g(x)] dx  with limits from a to b…

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Q: ormulas to compute the following antiderivative. x-1 x² -dx.

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Q: Question 1 What is the value of f(1) - 16B in fx³ Inx dx = f(x) ((1/4) Inx-B) + C? 12

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Q: (B) 1 1 −tan (m+3)(x) + _—__——_—_tan (m + 1)(x) + C · m+3 m+1

A: Let us use trigonometric substitution. After solving we get correct answer is option-(B) as shown in…

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Q: dx The integral can be transformed to which of the following when trigonometric substitution is…

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Q: QUESTION 9 Consider ·S Find the sum of A, B, and C. 14/3 O 6 O 17/6 O 5 3x5 3x4+6x³ 3x² - 6x А B C…

A: To solve the following problem

Q: Given: 3z = xy_Find ƒ² + fy² +1 **+*+9 Option 1 Option 3 x²+y²+1 ²+²+3 9 Option 2 None of the…

A:

Q: x ¹/2 dx and using the substitution y=x1/2, the resulting integral takes the form: x-x 4u -du…

A: We have given integral  I = ∫x12x-x3 dx u=x12 du=12x12-1 dx du=12x-12 dx du=12x12 dx 2du=dxx12…

Q: To evaluate [x²cosx dx' -2 / COST. 2sinx -2/cosx 2 / COST x2sinx – 2x cost x2sinx+2x cosx − 2 x2sinx…

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Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

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Q: 8 - 1V₁-30 √4 3+²+10 dt. Let g(x) = What is g'(x)? +4-3+²+10 322 3x² + 10 3x²+10 √8 O√TA 4+³ 6 2√14…

A: Topic = Derivative

Q: pose m and n are const (-)+(+)x] + C m-n m+n [-cos(m-nx- -cos(m-n)x - cos(m + n)x] + C 1 m+n…

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Q: 23. Consider the circle x² + y² = R². (a) Write down parametric equations to traverse the circle…

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Q: Ex: If f(3) = 0, show that əz дz x- x² + y = Z. (H.W.) əx Əy

A: We have to prove the given statement.

Q: fe²x+lnx² sin x² dx = 25-410-312-2 2M 12 e2x cos x² dx

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Q: Give the general form of the equation of the plane that is perpendicular to the plane x+2y = z + 5…

A: equation of line

Q: Find the area of the region that is bounded above by the curve f(x) = (x + 3)² and the line g(x) =…

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Q: Evaluate S tan" (x) sec¹x dx. I A tan (+1)(x)tan (-1)(x) + C m+l - 1 I B tan (+3)(x) +tan (+1)(x) +…

A: Let's evaluate given integral.

Q: Suppose that Find f'(x). f'(x)= f(x+h)-f(x) = -5hx² +6hx + 2h²x + 3h² - 1h³.

A: We will solve the problem.

Q: QUESTION 14 To evaluate use integration by parts. What is the expression after the second…

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Q: For x1/2 dx and using the substitution = x 1/2, the resulting integral takes the form: 4u -du -du…

A: topic- indefinite inegral

Q: Question 6 6dx For the method of partial fractions, to evaluate S90 -1 = S Adx + S = X-1 Bdx X+1'…

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Q: Find the length of the curve. Hand written plzz √2ti + ej+ek, 0 ≤t≤ 3

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Q: Exercises To Solve [No.5] dx OS (x-1) √X²2X-3 dx 3-2x-x²

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