Evaluation. Determine the antiderivative for each. Show complete solution 1. S dx 5x³-3 √x3 2. f(√x√x + 2)dx

Q: A B D 0 Consider the integral f sin ¹x dx. If we let u = sin ¹x and dv = dx, the integral can be…

A: We have to above question

Q: Find the area of the region bounded by y² = 4ax and x² = 4ay.

A: We have to find the area of the region bounded by y2=4ax and x2=4ay.

Q: 4. Evaluate the line integral along the path C given by x = 2t, y = 10t, where 0 ≤ t ≤ 1. (a)…

A: Both integral is solved.

Q: Determine wether the sequence converges, or diverges. If it Converges, S(2n-1)! 2(2n+1)!S

A: We have to find sequence converge or diverge..

Q: 3. Find a vector equation of the line that.... a) passes through (-3,5,-2) and (7,-3,1) 2+6 c) is…

A: Since you have posted a question with multiple sub-parts, as per the company guidelines we will…

Q: Determine the center-radius Form of the equation of the sphere whose- diameter has endpoints at (2,…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 1. u= x² + y² + z²

A: On solving this we will get

Q: The equation implicitly defines y as a function of t. Find dy dt 1² sin (7 y) = -8

A: This question is based on implicit differentiation.

Q: _42. Evaluate: √(√√x - 2)dx 3 A. ++ C x 3 B. - + C x C. 3 +=+ C 2 D. -*²_³+C 2 x 12 Evaluato: ((2x…

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

Q: Let f be a function which has an inverse and let f(-1) = 2. If Q is the surface of revolution…

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Q: Consider vector v = (1,2,2), point A(2,5,4) and point B(-1,5,1) - In center-radius form, find an…

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Q: Consider the position function s(t) = -4.9t +31t+24. Complete the following table with the…

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Q: What are the domain and range of f(x)= In x? A. The domain and range are both all positive real…

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Q: Suppose the consumption function for a particular country is c(x), where x is national disposable…

A: This question can be solved using the concept of differential equation.

Q: Advar Ex: If w = f(x,y,z), x=x(r,0), y =y(r, 0), z = z(r, 0), find wr, we? дw dz aw ax дw ду aw

A: We will use chain rule to solve this question.

Q: Compute[x² sin(2x)dx. A.- x² cos(2x)+ xsin(2x)+ cos(2x)+C 1 1 B. — — x² cos(2x)+ —…

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Q: Evaluate the y' and Simplify the answers I Direct trigo functions y = x² sinx + 2xcosx - 2sinx

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Q: 5. x x2 + x − 6 dx

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Q: Find the Area of the Surface obtained by rotating the curve about the x - axis y = cosh x, 0 ≤ x ≤ 1

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Q: _11. If lim (x² +1) = 2, and x = 2.5, then x->-1 lim (x² + 1) is equal to. x-2.5 A. 5.25 C. 6.25 B.…

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Q: The area bounded by the parabola ay=x², the x-axis, and the line x=b is revolved about the y-axis.…

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Q: Find the indicated power using De Moivre's Theorem. (Express your fully simplified answer in the…

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Q: Find the Area of the Surface obtained by rotating the curve about the x - axis X= (²+2),

A: The objective is to find the surface area.

Q: S N

A: Use ratio test for checking the radius of convergence

Q: . Determine the value of x when the slope is its maximum for the function f(x) = 2cos (3x)

A: Here we have to use the concept of derivatives.

Q: Find the area bounded by the parabolas (x − 3)² - 16ky = 0 and y² - 16k (x-3) = 0.

A: We have to find the area.

Q: Find the equation of the tangent line to the curve y = 5x² - 7 at a point x = 1.

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Q: Find the area bounded by the parabolas (x-3)² - 16ky = 0 and y² - 16k (x-3) = 0.

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Q: Find the volume of the solid generated by the region bounded by x² + y = 6, y = x, y = -2 and x = -2…

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Q: What is the inverse for the function f(x) = 2+3/1-x? A. f1(x)=1-(x-2)³ 1 B. f¯¹(x) = 2+³/1-x C.…

A: Given that:  f(x)= 2+ (1-x)1/3 and we find the value of f-1(x).   Here i attached the solution of…

Q: Compute 4 sin(TTX) d dx A. 4 sin(TTX) B. 4sin(TTX) In4 C. 4sin(x) (πIn4).cos(TTX) D. 4 sin(TTX)…

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Q: = Find the area bounded by the curves -x + y² = 8, x = -2y and y

A: Follow the procedure given below.

Q: 27 3. Explain how you would find the general term of the sequence: 4, -6, 9, - ".

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Q: If fx √1- x4 dx = ge ½ A B 0 C D) 1 H|2 H|4 g(e) de, then 9

A: We can solve the given integral by using substitution.

Q: 4. u = xz siny + yz cosx + xy tanz

A: Given,  u=xz sin y+yz cos x+xy tan z

Q: f(x)=8x¹-7x³+2 on [−2,1]

A: To compute the average value of the given function f(x)=8x4-7x3+2 on [-2, 1]

Q: Find a set of parametric equations for the curve of intersection of the paraboloid x² + 4y² -z = 0…

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Q: The volume of a cube is increasing at the rate of 4cm³/min. How fast is the surface area increasing…

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Q: y x3 - 2x*-5x + 2

A: Second Derivative Test : Consider the given function f(x) .Find Critical point , f'(x)=0 (say) 'c'…

Q: Determine whether each of the ff.differential equation is separable or not,if it is…

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Q: Find the derivative of f (y) = 8 tan (y) V √y 8 8 √Y y4

A: The given function is: fy=8tany-y8-8y4y As we know that; The Sum/Difference rule: f±g'=f'±g' The…

Q: ly If cosh x = then sinh x = Select one: True False If f is continuous on a closed interval, then f…

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Q: Find the volume of the solid generated when the region ? bounded by the given curves is revolved…

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Q: Find the derivative of f (w) = 7ln (w) + 18.

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bound by…

A: Volume of solid is evaluated using cylinderical shell method.

Q: Given x = ; ș¹²+2y — In(y + 1), find the arc length for 0 ≤ y ≤3 8

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Q: [₂7-4x dx -2 Determine the value of [4f(x) dx given that [ƒ(x) dx = 10 and ſº ƒ (x) dx = 3. 27 sin…

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Q: Use the slopes of tangents to determine whether the function -6x2+36x is increasing, decreasing, is…

A: Given function, f(x)=-6x2+36x We know that function is said to be increasing when f'(x)>0, and…

Q: Find the moment with respect to the y-axis of the area bounded by the parabola x = 9y - y² and y =…

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Q: Find the Area of the Surface obtained by rotating the curve about the x-axis y = cosh x, 0≤x≤1

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