V5(30+2) V5 arctan 5 15

Q: "l dr. IVr2 - 1 esec 2.

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Q: Write the first five terms of the sequence, give the exact answer: n n + 13 n=1 Determine whether th...

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Q: sin²(x) + sin(x) dx To evaluate the using basic formula of integration (without using cos²(x) substi...

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Q: An+1 se the ratio to determine if the sequence An is strictly increasing or strictly decreasing. 2n ...

A: Topic:- ratio test   

Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say ...

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Q: +o0 S 13 In n n=1 Determine whether the sequence converges, and if so find its limit. If the sequenc...

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Q: Determine the coefficient of Cot(x) when we evaluate [cot(x) – csc(x)]²dx_ None of the given choices...

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Q: Calculate the total area of the region described. Do not count area beneath the x-axis as negative. ...

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Q: For the functions w = 8x + 3y, x= cos t, and y = sin t, express dw as a function of t, both by using...

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Q: show complete solutions

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Q: Find the gradient of the function f(x,y) = 5y - x at the point (9,1). Then sketch the gradient and t...

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Q: Rewrite the integration in terms of u. 1 x cos 10rx² dx = COs u du Apply the constant multiplication...

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Q: Question 6 (x5-x3– 6x) dx is the same as x²+2 4x dx x2+2 D 8x dx x²+2 (E F None

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Q: Let h(x) f(x) where f(x) = In(3x2 + 2x + 2) and g(x) = -2x. What is h' (x)? g(x)' Select the correct...

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Q: 8. Factor completely. а) x3 — 6х? — 27х b) 9x? – (2 – x)?

A: We have to find factor of given Algebric Expression.

Q: 10.S vã csc(xvx) cot(xvx )dx

A: The given integral,      ∫x cscxx cotxx

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Q: Determine the value of , f(x)dx given that f(x)dx = 3 and f(x)dx = 8.

A: Question no. 2,Given,           ∫52fxdx=3 and ∫59fxdx=8To find : Determine the value of ∫29fxdx.

Q: 11. If 16% less than a certain quantity is 441, find the quantity. Ans. 525

A: 11. Let the certain quantity be x From the given statement x-16% of x=441

Q: A baseball diamond is a square 90 ft on a side. A player runs from first base to second base at 15 f...

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Q: Find the equation of the tangent and normal line to the following curves at a given specified point....

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Q: Let f(x,y) = x* + y². Find the slope of the line tangent to this surface at the point (- 1, - 1) and...

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Q: dw when r= 3 and s = - ar 3 if w = (x+ y + z)“, x=r-s, y= cos (r + s), z= sin (r + s). Find

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Q: 1. Use any appropriate method in finding the indicated solution of the following differential equati...

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Q: %23 -2 What is the first derivative of f(xr) = -9(e*)¯² %3D Select the correct answer below: -2x xz-...

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Q: Consider the following equation. x³ + 3xy 2y2 = 37 dy Step 1 of 2: Use implicit differentiation to f...

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Q: 8. Svay y3 y²dy 2-

A: We have ∫y2dy2-y3

Q: 3. (a) The surface f(x, y, z) = 1+y - 2 = 0 and g(x, y, z) = x+2-4 0 mect in an ellipse E. Find the ...

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Q: Which of the following are examples of inductive reasoning (reasoning that relies on enumerative ind...

A: The inductive reasoning is that is where we reach the conclusion of the statement at the last of the...

Q: 10. y(2x -x'y + y³)dx - x(2x³ + y³ )dy = 0 %3D

A: Explained below 

Q: 5x S dx -S Insdx 4-5x+1 4- 5*+1 - -5".5 Ins rt du -t In clns) sns dx

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Q: Rank the magnitudes of the directional derivatives in the directions of vectors a, b, c and d at poi...

A: We need to find order of vectors.

Q: 8. Determine the Taylor series for f(x) = sin x at x = T. Write in sigma notation. 8b. Estimate sin(...

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Q: On what domain is the function f(x) = 5+ V2x + 6 continuous? %3D

A: Let's find. 

Q: Factor the difference an+1 – an to show that the given sequence {an} is strictly increasing or stric...

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Q: 3 •(4y++12y²+9) * A (2y²+3)² ® (2y²+3)* © (2y²+3) D 4y4+ 12y2+9 (E None

A: We have to find solution of given integral.

Q: 8r +x2 - 8x + 10 dr. 1. x²(4x2 - 4x + 5)

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Q: 1. Given the graph find y (a) f(-4) 6. (b) f(0) 4 (c) lim_f(x) X-4 (d) lim f(x) x→-4+ T ||► x 24 6 (...

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Q: Find the critical points for the function f(x, y) = 5æ² – 10zy + 6y? – 6y and classify each as a loc...

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Q: 31-32 Find an equation of the tangent line to the given curve at the specified point. the x² – 1 iqn...

A: Given y=x2-1x2+x+1 To find equation of tangent line at point (1, 0):

Q: If F is a continuous on the set of real numbers, then STF(x)dx = T fF(x)dx A True B False

A: We can find the answer as below using the properties of integration

Q: 3z dz; (1-4z-2z²)= 3z 3z dz 3 – 2 (z + 1)² dz [3 – (z + 1)²]² D Option 1 Option 2 3z dz 3 - (z + 1)²...

A: Topic:- integration   

Q: Find df / dx and ðf / ðy. f(x,y) = e(x +y + 2)

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Q: Find the extrema of the given function f(x, y) = 6cos(x? – y) subject to x? + y = 1. (Use symbolic n...

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: 11,1117,11172,11173.....

Q: Find the gradient of the function f(x,y) = /4x+2y at the point (- 1,4). Then sketch the gradient tog...

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Q: Determine whether the alternating series converges. 00 31n k E(- 1)* k k=3 O The series diverges. O ...

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Q: 2x +8 x2 – 12 lim x + 6

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Q: Answer 48. The vector cũ has the same direction as ū. 49. |l0 – ü|| is the length of the shorter of ...

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Q: Let v be the blue vector drawn at point P. It is tangent to the level curve marked 7. What is Dz f(P...

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