2-2 +2)Xx+1) (*+1P Option 1 Option 2 1. (x +1) *+2 (x +1) Option 3 Option 4

Q: The most conveneient way to evaluate x2- by substitution is to let Vx2- 4 =y A True B) False

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Q: 3. [sinh ot e"dt Ans.

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Q: 11 ti + dt

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Q: Question 5 Determine the derivative of the given function: y = 5-2 Oy = 5"-2 (In 5)(x - 2) Oy = 5-2…

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve C'is oriented counterclockwise.…

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Q: Find the area of the surface generated by revolving the curve about each given anis. *- 7t. y= st,…

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Q: Find curl (4z i+ 5x j+ 9y k). curl (4z i + 5x j + 9y k) = ( Di + ( j + ( i i )k

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Q: Find the sum of the infinite geometric series with first term 6 and common ratio 8 S (Round to two…

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Q: 2. (Section 9.2) A refinery produces both gasoline and fuel oil, and sells the gasoline for $4.00…

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Q: Find the curvature and the radius of curvature at the stated point. r(t) = 5 cos(t)i + 11 sin(t)j +…

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Q: Find the moment of inertia with respect to x-axis of the area bounded by the parabola y = 4x %3D and…

A: Moment of inertia with respect to x-axis , Mx= ∫A y2 dA.

Q: Find the amplitude, the period in radians, the phase shift in radians, and the vertical shift. Then…

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Q: Determine the area of the region between the x-axis and the graph of the curv -1 from x- 0 to x- 4.…

A: Area bounded by curves :   If f(x) and g(x) are two continuous function on a,b and f(x)≥g(x) on a,b…

Q: Evaluate: /1/T 1–x*dx (A 4) ² +c B D E) None

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Q: Find the positive root of the equation x - 4x + 9 = 0 in the interval [2,3] using Regula Falsi…

A: We will check weather at x=2 and x=3 function have opposite sign. If sign is not opposite than there…

Q: 4r-10 (2r+2hlx-3-thb+20+C (2 + 2hk-3 +4hk+ 2) +C Option 1 Option 2 (भे+ 22 + 210l2 3/ 4Mly /2) 1 ८…

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Q: 2 and common ratio Write down the first four terms of the geometric sequence with first term (Type…

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Q: Find the intervals on which f is increasing and decreasing. f(x) = - 3x + 2x2 + 7 On which…

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Q: Find the unit tangent vector T(t). r(t) = t2i + tj +4k , P(9, 3, 4) T(3) = Find a set of parametric…

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Q: Find V. (F x G), if F(x, y, z) = 10ci +j+13yk and G(x, y, z) = xi + yj – zk. V. (F × G) :

A: To solve the following problem

Q: No new data to save

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Q: Find V x (V x F) if F(x, y, z) = 9xyj+ 6xyz k. V × (V × F) =

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Q: A balloon is rising vertically over a point A on the ground at the rate of 15 feet per second. A…

A: Let's draw the diagram first Given: dhdt = 15 ft/sec We have to find the value of dydt when h=40

Q: Given: y = arctan sinh find y' at x 2 cosh 1 3(1+sinh 1) cosh 1 Oy = 1+sinh 1 cosh 1 1+sinh 1 %3D…

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Q: For the given function find dy/dx. x- y' | = x + 2 y+ x2 1- x-3y-4x 3x2 + y + 2 y' 1- x + 3y - 4x y…

A: x-y3y+x2=x+2

Q: 5x2+11x+2 dx x(x+1)²

A: integration using partial fraction

Q: Evaluate the double integral.

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Q: lim (1+ sin(18a))/(2«) (A) e? (B) eº (C) e18 (D) ∞ (E) 1 we the question carefully edited 8:11 PM /

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Q: Ir(t) - u(t)] and Ir(t) x u(t)] in two different ways. dt r(t) = cos ti + sin tj + tk, u(t) = j + tk…

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Q: x+dx Using trigonometric substitution, - (1+x²) = tan odo A sece sin*Ðd0 cose sec 8d0 tan 20 D None…

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Q: Find the derivative, dy/dx: y = log3 (2x +1) Oy =- (2z+1)3 In 3 Oy = (2r+1) In 3- Oy= log, e (2z+1)3…

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Q: Find r(t) · u(t). r(t) = (7t – 4)i + j + 4k u(t) = t?i – 8j + t?k r(t) · u(t) = Is the result a…

A: Use dot product concept

Q: ydy can best be evaluated by algebraic substitution. Vy-1 A True В False B

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Q: A right circular cylinder has a radius increasing at the rate of 4 cm per second but its total…

A: A right circular cylinder has a radius increasing at the rate of 4 cm per second but its total…

Q: rrent Attempt in Progress Evaluate the line integral using Green's Theorem and check the answer by…

A: Greens theorem

Q: Given: y = arctan sinh find y' at x = 2 %3| cosh 1 %3D 1+sinh? 1 cosh 1 O y = %3D 1+sinh 1 cosh 1…

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Q: Sx+11x+2 dr x(x+1) Zln|x| + 3 In|x+ 1| +C 2łn]x| + 3 In|x +1|- Option 1 Option 2 2ln|x] + 3 Inx+ 1|…

A: We can solve this as follows:

Q: Find the limit. lim (t i – 3 j+ t?² k) t-2 lim (t i- 3 j+1? k) = j + i i+ i i k

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Q: The distance traveled in the time interval 0 <t < 4 is given by the following. -4 r4 |t2 + 6t – 16|…

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Q: Find the Taylor polynomials of orders 0, 1, 2, and 3 generated by f at a. f(x) = cot x, a = - Po(x)…

A: As we know that; The Taylor series; fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+… Where centered at x=a.…

Q: Consider the function f(x) whose second derivative is f''(x) = 9x + 4 sin(x). If f(0) = 2 and f'(0)…

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Q: Current Attempt in Progress Use Green's Theorem to evaluate the integral. Assume that the curve Cis…

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Q: Sx sin(3x – 2) dx |

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Q: 2. By differentiation rules , evaluate the derivatives of the following and simplify as possible:…

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Q: Find the derivative of the function: y = (e**)e Oy = e (e*+ + 1) Oy - (e") (e*+* +1) Oy = (e…

A: We know that derivatives of  d(xn)/dx = nxn-1. And d(ex)/dx = ex.   Here i attached the solution of…

Q: -2 2. S- dx x(x-1)

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Q: Find the divergence of the vector field F. F(x, Y, z) = In( 9x²+ 8y² )i + 72xyj + In(8y² + 7z? )«…

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Q: Question 6 Determine the derivative, y': y = log, (In a?) %3D Oy = z In 5 In a Oy = = z In 5 In z Oy…

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Q: Find the root of x4-x-10 = 0 approximately upto 5 iterations using Bisection Method. Let a = 1.5 and…

A: The root of x4-x-10=0 between a=1.5 and b=2

Q: A net is dipped in a river. Determine the flow rate of water across the net if the velocity vector…

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