60. (a) dx SI dt 1 + √t (b) de fint di dt

Q: 3x^2+y^2=28 3(x-1)^2+y^2=19

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Q: sin³ (cos(4) dx 2 32 Ⓒcos A COS 35 32 B 35 32 Ⓒ-3 cos (4) C 32 D 3/7/7 C (4)[-5cos (4)+7] 5³ (4)…

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Q: Find a set of parametric equations of the line through the point (1,-2, 3) and perpendicular to the…

A: Given point(1,-2,3) Then the equation of the line passing through 1,-2,3 is…

Q: (A) = and (B) = . Find 2A - BO* none of the above

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Q: VI. Write TRUE if the statement is correct, otherwise write FALSE. There is no need to justify your…

A: 1. True 2. True

Q: 14. Evaluate the following √x-²sec (+)tan ³ ( =) « dx 2tan (²) [7tan² ( ² ) +11] +C 77 2tan…

A: To evaluate: I=∫x-2sec41xtan521xdx Substitute 1x=t⇒-1x2dx=dt⇒x-2=-dt So, I=∫sec4t  tan52t…

Q: 8 x²-1 x³+x A. -1 dx = √( + g(x)) + g(x) a dx, then A + f C. 1 g(x) dx is c B. -1 + In(5/2) to D.…

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Q: Consider the function f(x) = x² x7 +4 Use the Intermediate Value Theorem, if applicable, to…

A: Using the intermediate value theorem.

Q: ST/4 x² dx (x²+4)5/2 (Use trigonometric substitution)

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Q: A b B d a The integral 15x²x³43x - 19 (x + 1)²(x² - 6x +13) can be rewritten as Ax + B D C + ax² +…

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Q: Find the radius of convergence, R, of the series. (-7) xn n√n n = 1 R= Find the interval, I, of…

A: The given series,        ∑n=1∞-7nnnxn

Q: 4. Evaluate the following sin(x)cos(2x)sin(3x) dx sin(3x)cos(3x) sin(2x)cos(2x) 12 sin(2x) sin(2x)…

A: Solution: ∫sinxcos2xsin3xdx

Q: Find F'(x). 1. F(x) = √x+² (4t + 1)dt 2. F(x) = f*t³dt SOLUTION IN HANDWRITTEN

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Q: Calculate the derivative. x4 - 4 y = x² - 5 (Give an exact answer. Use symbolic notation and…

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Q: Compute the area bounded by the curves x=2y² and x=4+y²

A: Area bounded by two curves x=f(y) and x=g(y) is given by, A=∫abf(y)-g(y)dy ,a,b are the points of…

Q: Find f(x) if f'(x) = f(x) = 20x - 99 Of(x) = 20x² +1 O f(x) = 20x + 25 +5 Of(x) = 20x f(x) = 20x + C…

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Q: Explain why you think the sequence -2, 25 125 " ... 8 2 32' . converges to a finite number or…

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Q: (A) = and B D = . Find the vector projection of A onto 2AD- BO O O O none of the above

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Q: x²+x+1 Sa 2x²+2+x³+x² (A (B (D) -b dx dx = [Aƒ (x) – B ln(g(x)]å + D ſb da , and if A = ‚B < 0, then…

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Q: Linearly dependent solutions Undamped Free vibrations w=0 W=W₁ (undamped) Principle of Superposition…

A: Given:-

Q: 10. A. B. C. D. Consider ·S -9 +3 what is the integral form in terms of ? sin ²0 de Scos²e de sin²e…

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Q: Find the amount of money that will be accumulated in a savings account if $5125 is invested at 6.0 %…

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Q: Use the formula k(t) k(t) = = ||r' (t) x r"(t)|| ||r' (t) ||³ = 10t. r(t) = e¹0ti + e-tj to find…

A: We have to find k(t)

Q: The equation z² + 71-3-0 has two solutions A and B where A <B and A and B Give your answers to 3…

A: The given equation,          x2+7x-3=0

Q: 3. S 2 x²+a² x4 = _ (x² + a²) ³² 3a²x3 -dx = + c

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Q: the graph of y = x³ - 6x² + 9x - 2 where the t

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Q: (D² – D − 2)y = cos x

A: Here is the solution:

Q: 13. How many times will you perform integration by parts to evaluate sin(Inx) dx? A. 1 B. 2 C. 3 D.…

A: Let's find.

Q: 10. Given the following contour map: (Explain your answers) a) Is the surface a mountain or a…

A: 1 here is centre side (inside ) the contour level is increase so this is contour of mountain.   2 P…

Q: The IBP formula fudv-uv-fvdu can also be written as fudv + [vdu = uv Which of the following…

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Q: Find F'(x). SOLUTION IN HANDWRITTEN|| 1 1. F(x) = √²2dt -2x-³ 2. F(x) = ²x²²x cos x² dx

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Q: Explain why you think the series Σ01 77 converges to a finite number (-8)"-1 or diverges. If the…

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Q: 4. Evaluate the following sin(x)cos(2x)sin(3x) dx A. B. C. D. sin(3x) cos(3x) sin(2x) cos(2x)…

A:

Q: A box with a square base and no top is to be made from a square piece of carboard by cutting 6 in.…

A: A box with a square base and no top is to be made from a square piece of cardboard by cutting 6 in.…

Q: Question 8 Jesse wants to build a rectangular pen for his animals. One side of the pen will be…

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Q: Evaluate 5 (²) 4. dy -2

A: ∫-2-1 (y-2)dy/y ∫-2-1 (y - 2/y)dy [ 2y3/2/3 - 4y]-2-1 -2i/3 - 4i +42i +42i -14i/3 +82i

Q: Let z+5 f(x) x+7 f¹(-6)= A

A: Topic:- function and it's inverse

Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 1+ 1. lim. 2-12x²+x-1

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Q: Calculate the derivative. f(x) = 6-9x¹/3 +9e* (Use symbolic notation and fractions where needed.) (6…

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Q: 2. To evaluate fr -dx, apply integration by parts twice. For the second application of integration…

A: Solution: ∫ln x2x3dx Integration by Parts ∫uv' =uv-∫u'v

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: Question 9 Let f(x) f-¹(x) = 1 2+8

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Q: Suppose that $2000 is placed in a savings account at an annual rate of 4.2%, compounded monthly.…

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Q: Given the integral S cot³x csc5x dx. If u = cscx, then the integral can be re-written as: (a). f (u²…

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Q: 5. Given: G(x, y) = 4y¹ sin(2x³) Gyxy(x,y). What other 3rd order partials are equivalent to Gyxy(x,…

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Q: S Find sec42x -dx tanº2x cot²2x-cot82t+C 12 16 1 1 1 1 12 tan 62x 16 tan 82x --(cot$2x) (² 1+3csc²2x…

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Q: . The voltage,V, in a circuit is slowly dropping at a rate of -0.01 volt/sec as the battery wears…

A: I have appended the formula used in the solution part.

Q: Find an equation of the plane containing the point (3,0.-4) and perpendicular to the line r(t)=…

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Q: B C 1 x2-9 Consider S +3 - dx. Using trigonometric substitution, what is the integral form in terms…

A: Given: I=∫x2-9x3dx   ...1   As we know that the trigonometric identities; (1). tanθ=sinθcosθ (2).…

Q: Find an equation of the surface of revolution by revolving the plane curve 3y = √(9- [(x-1)] ^2)…

A: We need to identify the quadratic surface.