6. f(x) 10. f(x) 12. j(x) f(x) 14. 16: Function 3. 7. 9. 11. f(x) 13. f(x) 15. f(x) 17: f(x) 15. Match each function with the graph of its derivative. 21 36 K M E G A C J'(x) ['(x) f'(x) f'(x) S'(x) Derivative B L N P D f'(x) F 'f'(x) H 2 f'(x) ƒ'(x) W

Q: Find angle A to the nearest degree. 37° 30° 39° 42° 32 37 25 B

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Q: Use the Divergence Theorem to evaluate the surface integral fF.dS where F(x, y, z) = 2₁ 56.

A: Please see the below picture for detailed solution.

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Q: 3) dx xinx

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Q: Write Sk 1.13+2 14+3•15+...+ Write SK+1- (Type your answer in factored form.) 1.13+2+14+3•15++=…

A: To evaluate:  ------------------------------------------------------------------------------- Basic…

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A: According to question,Given Function,st = 3t13 + 2t2

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A: Let's evaluate the given limit.

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Q: 35. Verify the following: sec sin 0.tan 0 sin e cos² e

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Q: dy 15. Determine the derivative dx for y = 3 cos(8x+6) Show your work.

A: The function is given by y = 3cos8x+6 To evaluate: the expression of dydx.

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Q: you solve the Partial Fraction please

A: Given that             16x2-x+36x3-5x2+1=16x2-x+3(6x-5)x2+1

Q: 5) Find the divergence of (√x² + + z ²) kî + yî + zk)

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Q: dx 3) √2-12x+37 a) tan¹(x-10) + c b) tan-¹(x - 5) + c c) tan-¹(x-6) + c d) None of the above

A: To evaluate the given integral

Q: Write Sk. 4+12+ (Do not simplify.) Write SK+1. 20+...+()=0 4+12+20++ (Do not simplify.) What do we…

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Q: Solve the initial value problem dy € + ² = 5x√ỹ, _y(1) = 2.

A: standard form is dydx+p(x)y=q(x)given  dydx+yx=5xydivide by y  both sides 1ydydx+1x×yy=5xwe know…

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A: Given: Work done, W = 1 Joule Strech of the spring, x=11 cm = 0.11m   Now, The spring constant is…

Q: 2. What is the slope of the tangent to f(x)=√√x-1 at (5,2)? Show your work. a. 1 C. 2 4 b. 1 2 d. 4

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Q: Determine the x-coordinate(s) of any relative extrema and inflection points of the function y=x³ In…

A: Solution: y=x3lnx4 This can be written as y=x3(ln(x)-ln(4)) Then: for having any relative extrema…

Q: X 16. Determine the equation of the tangent to the curve y=30* at the point with x-coordinate.

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Q: (4) Compute the following: I7 (a d da na" = I7a6 Jn:2x-1 haban toy (b) d dx P [etan z] tanx ₁₁)] (x²…

A: according to bartleby guide line we do only first part ofmultilly 4(a)      d dx(lnx7(x2-x+3)11we…

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A: Given query is to find indicated derivative.

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Q: A sequence is defined recursively by do = -2, d₁ = 16, and dn = 4dn-2 for n ≥ 2. Use the…

A: Given:- dn=4dn-2 ,n≥2

Q: Determine the exact value of the following expression. tan 137) 8

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Q: Find the radius of convergence and interval of convergence of the series. n=0 (-2) ¹ 3n+1 -(x + 3)"…

A: NOTE: Refresh your page if you can't see any equations. . the given sequence is  substitute n+1…

Q: The region bounded by f(x) 4x² + 20x + 56, x = 0, and y = 0 is rotated about the y-axis. Find the…

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Q: Determine whether Rolle's Theorem can be applied to the function f(x)=x²- 10x + 16 on the closed…

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Q: 1) The derivative of y = esec-12x, x > 0 is: a) 2e³ec-¹2x x√4x²-1 esec-12x b) x√4x²-1 C) x√16x²-1 d)…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Solve the following initial valuc problem using the method of Laplace transforms y" - 4y + 5y = 8c³;…

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Q: 3) Find curl (xyi + yzj + zxk)

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Q: 5) Find the divergence of (√x² + y² + z² 5) kî + yî yj + zk)

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Q: Find the exact value of cos( O 1 V2 O √3 2 0 -13 O 12 2 큼 -9 4

A: We can find the exact value in the below steps.

Q: Jse basic geometry to find §₂² (5 − x) dx. For this problem, do not use Riemann sums or the

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Q: Find the value of a that makes the following function differentiable for all values of x. g(x)= ax…

A: According to question, Given Function,gx = axif x<0x2-7xif x≥0

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Q: sin² 4y dy

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