Question 4 dx 1 O sec (e² – 1) +C O sec-l(e*) + C sec (e – 1) + C sec™' (e") + C « Previous Quiz saved at 7:34pm Su W

Q: 81. Area Find the area between the graph of y = sin x and the line segment joining the points (0, 0)…

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Q: V1. y=x' +1, the axes, x=3; 0X 1 y =-, , y-axis , y=1 & y =3 ; OY

A: Here we have to find the volume.

Q: x/2 dy 2. -y=e

A: According to the company rule we can answer only first question and rest can be reposted.

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Q: For the given power series, which one is the interval of convergence? x2n Σ (-3)" n=1

A: We can solve this as follows:

Q: For the parametric equation shown below, determine the value of (dy/dx) and (d²y/dx²). X = 3t – 4t +…

A: a x = 3t2 -4t +2 y = t3 -2t2 + 2t -5  dy/dx and d2y/dx2 =? dx/dt  = 6t -4 d2x/dt2 = 6 dy/dt = 3t2…

Q: 28. y' ry + 1; (ry+ 1)dr- dy 0 29. dr- dy 0 %3D

A: Differential equations

Q: 5. Find the first six terms of the sequence in which the eighth term is 72 and twelfth term is 96.

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Q: x/2 dy 2. - ५ = sin x dy +34 d x 2- X 2

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Q: X+ 0.4Inx 04. lim, X+3lnx

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Q: Use substitution to find the indefinite integral. 2 | 5z² – 3 dz -3 dz =

A: Given: I=∫z5z2-3dz   ...1   As we know the Power rule: ∫xndx=xn+1n+1+C

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Q: Suppose that f(z, y) – e ¯4r² - 4y² - z + 2y Then the maximum is

A: The given function is: f(x,y)=e-4x2-4y2-x+2y Here,…

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Q: 37. A 10-m ladder rests against the wall of a house. The foor of the ladder on the ground is 1.3 m…

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Q: Let D be the region bounded by a curve x + y3 D (Parametrise the curve so that y/x t.) 3xy in the…

A: Given that D is the region bounded by the curve ?3+y3 = 3?y. The curve is to be taken as y/? =t.…

Q: Find the volume oF the solid obtained by rotating about the x-axis the region by y= x' and the lines…

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Q: Show that the function f defined by (x, y) = (1, –1) f(x, y) = r? + y (x, y) # (1, –1) x + y is not…

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Q: Find an equation (in point - nomal form) of the plane containing the point (1.-3,5) and the line…

A: Given:

Q: An open-top rectangular box is being constructed to hold a volume of 150 in?. The base of the box is…

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Q: 13. (x? — ху + у?)dх — хуdy %3D 0

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Q: x/2 2. dy Sin x dy +34 2- X 2

A: A detailed solution is given below

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Q: Find the following. 5) dx (13,5 + 5) dx = (Type an exact answer.)

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Q: Write a in the form a = a-T+ anN at the given value of t without finding T and N. %3D r(t) = (4 e*…

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Q: Q3: A right circular cone has the radius of the base and the height which at a given instant (to)…

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Q: Hi, I have a question but can't type it because of special characters. I uploaded an image…

A: Let's find.

Q: Differentiate each function by applying chain rule. Match each item to a choice: y = x(x² + 3)² f…

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Q: |+ 3t -dt 11t Simplify the integrand by dividing eac .5 |+ 3t -dt = 11t |dt Type an exact answer.)

A: Given:∫1+3t511tdt

Q: II. Find the area bounded by each of the following curves. Show your complete solution. Write your…

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Q: dy cot X Cos X Sin x +y=

A: The given DE is: cot x dydx+y=cos3xsin x⇒dydx+ycot x=cos3xsin x1cot x⇒dydx+(tan x) y=cot…

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Q: 15. xydx + 2(x² + 2y²)dy = 0

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Q: Evaluate the integral: So sin(x)dx *Input answer as decimal round-off to 2 decimal places.

A: We need to find the integral : ∫0πsin (x)dx

Q: 3. Cylindrical Method a. y = 9 – x2,y = 0, about the x – axis b. y = Vx,y = x, about x – axis

A: Given

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Q: Findithe equation fthe plane entrining the point (7-2-5) and uperpendcular to the line through the…

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Q: dx 1. Evaluate the integral -∞ 1+x² 2. Evaluate the integral •x+y So SL** (x + y+ z) dz dy dx.

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Q: Find the vector and parametric equations for the line through the point P(-2, 4, -3) and parallel to…

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Q: dx sinx+cosx

A: Follow the procedure given below.

Q: Question 3 Vx2 + 4dx 2²+4 Vx² + 4+ 2 In + C ava? + 4 +2 ln + C eva? +4 – 2 ln +C -글av고 +4-2n +C «…

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Q: The volume of a cube is increasing at the rate of 21 cc/min. At what rate is its surface area…

A: The volume of a cube is increasing at rate, dVdt = 21 cc/min To evaluate: The rate at which the…

Q: [[ 31? dA; R is bounded by y = 0, y = 2x + 4, and y =

A: Given problem:- Sketch the regions of integration and evaluate the following integrals. ∫R∫ 3x2dA ,…

Q: Evaluate the following indefinite integral. f11 de dx = (Type an exact answer.)

A: To find out the integration.

Q: Find the cost function for the marginal cost function. 0.05x. C'(x) = 0.03 e fixed cost is S10 C(x)…

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Q: Evaluate the integral: So (re ) dt Express your answer in decimal. Round off to 2 decimal places.

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Q: Find the velocity and acceleration vectors in terms of u, and ug- de a0 r= 5 e and = 1 - dt v=Ju,…

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Q: Find the equation for the horizontal asymptote of the graph of the function. (If an answer does not…

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