Find the line integral along the given path C. [(x - y)dx, where C: x=t, y = 3t+8, for 0 ≤t≤6 с √(x - y)dx= = -72 с

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A: We can answer the question for the value B as below.

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A: The objective of the question is evaluate the indefinite integral.

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Q: ff" (x+5) dx=14, then the value of b is equal to (A) 4 B) 3 (C) -3 (D) None

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Q: For each function graphed below, state whether it is one-to-one. Graph 1 Graph 2 8- 4- 6+ 2+ 4-…

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A: Given: y=3sin2⁡xcos⁡x To find: dydx We know that ddxcosx = -sinx ; ddxsinx = cosx

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Q: Which of the following is a polynomial function? C. 2x+7 A. g(x)=√x-7 y = B. f(x)=2*-5 D.…

A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: Find the gradient field of the function g(x,y,z) = 8xy + 6yz + 8xz. Vg = (Type your answer in terms…

A: This question is based on gradient of function.

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A: We have to find derivative of given integral.

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Q: 3. Find the volume of the solid formed by revolving the region formed by the curve y = sec about the…

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Q: 11. fel/x²di .3 X хр

A: Here, to evaluate: I=∫e1x2x3dx

Q: If F(x)=2x^2+5x+2,then F'(x)=4x+5.Thus,if f(x)=4x+5,then f is the___of F and thus F is a/an___of f.

A: F(x) = 2x^2 + 5x + 2 F'(x) = 4x + 5

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Q: b If ff" (x+5) dx = 14, then the value of b is equal to (A -3 B 4 C 2 D 3 E None

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Q: y dy Find S √y+2 A(√3+2-5) (5√3+2+y+24) + C B (√y+2-5) (5√/y+2¬y+24) + C 3 Ⓒ²(√x+2-5)(-3√x+2+y+21) +…

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Q: Question +² + 1 and g(x) = 2 between x = 2 and x = 3. If R is rotated Define R as the region bounded…

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Q: 13. - (In t ² )º t dt

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Q: 33x хе x³e³x dx S

A: This question is based on integral by parts.

Q: y = 9x² and y = 0 about x = −4

A: Given:        y=9-x2 and y=0         x2=9           x=3 about x=-4

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Q: Two sides of an oblique triangle are measured as 80 ft and 100 ft and the included angle as 60°. If…

A: I am attaching image so that you understand each and every step.

Q: If ["(x+5) dx = 14, then the value of b is equal to A) None B 2 C) 4 (D) -3 (E) 3

A: Let's find given integral.  We there is lower limit not given but it only possible 1.

Q: dx 2. √ 9x² + x³² 12.

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Q: 5.5x-2 dx

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Q: (x - 8)dx x (x + 5)² X

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

Q: S If 2x²+x+1 (x-1)(x + 1)(x-2) a A (B) - (D E 3 =1 3 C) None -2 B C dx = MAR √²+1 dx. dx, then the…

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Q: Question 11 [₁ Evaluate: 2 A 63 16 B 105 C) None 16л D 105 2n E 63 sinxcos³xdx is equal to

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Q: Let's practice on how to complete the square because this will help us to identify whether the given…

A: see below the answer and calculation

Q: Evaluate Sc (4x+3√7) ds ds where C is given in the accompanying figure. Sc (4x + 3√/y) ds = (Type an…

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Q: Fill in the missing steps to determine convergence or divergence of the following series 2(1. n-1…

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Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x + 5)2=2y, the…

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Q: Given that dx 5₁² = missing steps = I due √x+2 √u Re-write the integral will all the missing steps.…

A: Given:     ∫-2-1dxx+2 Apply u-substitution:  Substitute u=x+2→dudx=1            dx=du Lower limit…

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A: Here we have to find the radius of the curvature of y=x4 at (1,1)

Q: S x3 -4 16-x² A 4 B) None C 0 D) 8 E 2 dx is equal to

A: To find the value of the given integral

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Q: (D³ - 2D + 4)y=0; y = -2, Dy = 8, D²y = 0, when x = 0.

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Q: -6 -4 -2 0 --2 (-2,-3) 2 6 4 (-1,-4) 1. Does this graph have a horizontal shift? If yes, state the…

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Q: y = x² – 3x; y + x = 0 about the x-axis

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Q: 5. 4 f sin + 2zdz

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Q: (x - 8)dx x (x + 5)²

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