5. S (16z³ – 14x + 6) dæ

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A: The detailed solution is given below  Thank you

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Q: 4. Evaluate the following integrals: (a) S (2x³ – x² + 3) dx - (b) S x*Vx5 – 1 dx S ds (c) S V2s+3

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Q: 2 Find the slope of the function f(x) = x 3 at x = - 3. -27 27 81

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Q: What are the local extreme values of the function f(x) = x' – 3x + 2? a. None of these. O b. Local…

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Q: please answer number  2 and follow the format of sample solution (include the rules/techniques used)

A: Here we have to find the integral

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Q: Question 1 ( (a) Use the Second Derivative Test to find the local extreme values of the function…

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Q: Given: cosg=-1, sin x =- 13 ,A is in the third quadrant, and x is in the fourth quadrant; evaluate…

A: This question is based on Trigonometric equation.

Q: xe dy + *+1 dx = 0 ㅇ (1- y) e" + 빨고 =C O (y – 1) ev + + In a = C 2 O - (y + 1) ev - + In r = C O 2y…

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Q: èrentiate f(x) = [(4x³ – 1)(8x² + 6x – 3)]° and solve f'(2).

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Q: Express the circle specified by x = 2 cos(0) y = 1 +2 sin(0) in Cartesian coordinates and find the…

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Q: Question 19 Evaluate the integral given. c(2x)tan(2a)dx +C %3D > Next Question

A: To find out the integration.

Q: 5. y = 3x - 4 at (0. - 4)

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Q: dy for the function y= Find dx (x-1)(x-2)* (x-3)' at @x = 4.

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Q: Which of the following series is convergent? Select one: 3n 4n 2n + 1 n=1 3n 3n 2n + 6 n=1 2n 2n 6n…

A: In all the given series you can use the Root Test, that is to find: limn→∞ann if that is less than 1…

Q: Find div F and curl F of F(x, y,z) = (x z³) i + (3x²y1² )j + (3z?y) k

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Q: Which of the following statements is true about the function f whose derivative is f'(x) = (x –…

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Q: H.W : The region bounded by the curve y= x² and the line y=3x is revolved about a) x-axis b) y-axis…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: B. Find the slope and the equation of the tangent line to the curve 1. y = 4 - 3x at (- 1, 1) 2. y…

A: We need to find the slope and the equation of the tangent line tothe following curve:3. y=3x2+2 at…

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Q: ( d ) Σ0, 3i (i2 + 2) i=1 3i(i² + 2)

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Q: Differential Equation Classify the following differential equations.  - DEPENDENT VARIABLE -…

A: We have to classify the given differential equations.

Q: For j(z) = (3x2 - 7) (-2x* + 7x), find j' (x) by applying the product rule. Provide your answer…

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A: Solving

Q: p1 Use a straightedge to draw line

A: answer is in next step

Q: What are the local extreme values of the function f(x) = = x' + 6x + 2? a. Local maximum at (-2, 6);…

A: The given function is;  f(x)=x3+6x2+2.

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A: topic- definite integral

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Q: Find the equation of the tangent and the equation of the normal to the curve y = + at the point…

A: Our Aim is to find the equation of the tangent and the equation of the normalto the curve y=x+1x…

Q: 4. S(x² – 1) Vx + 4 dx

A: Solving

Q: 7 n³+9 3 n=1 6 n³ + 1 %3D 8.

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Q: Convert the equation to polar form. (Use variables r and 0 as needed.) x = y

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Q: Express the following sum.. using sigma notation. 1 d. 9 1 Σ 12 + + + 10 11 k= 1

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Q: a. For the given value of n, use sigma notation to write the midpoint Riemann sums. f(x) = cos 2x…

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Q: Question * Let f a piecewise function as follows. Determine lim f (x). х- 2, x2 (a) 0 (b) +00

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Q: Question 2! 3: 1: Explain why the following series a) I (-1)" 1+ n3/2 n=1 is Alternating. b) -…

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Q: Find the distance between points P, and P2. P,(4,5,2), P2(6,2,8) The distance is (Simplify your…

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