Identify the number of petals of the graph r = 9cos20. a. One petal b. Two petals C. Three petals d. Four petals

Q: Next question Solve the system. Use any method you wish. x? + 2y? = 29 4x2 - y? = 10 What is the…

A: We need to solve system of equation.

Q: 32

A: We need to use the knowledge of binomial theorem to solve this problem.

Q: 4. y = e 2coscns (2x) 5. y = e

A: Here we have to find the derivative of question number 4 &5

Q: answer

A: Please refer to the image below

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A: We want  to maximize the function.

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Q: 2. Give the symmetric equations of the line l perpendicular to the plane T : 5x– 2y = z+4 and…

A: we have to find equation of line.

Q: Determine whether the function is continuous or discontinuous 5. f(x) =

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Q: ) What number is next in the equence? 2, 4, 16...

A: What number is next in the sequence? 2, 4, 16 ...

Q: PROBLEM. dz dz and dy 1. Suppose z is a function of x and y, and tan Vy² + x² = z®e©y. Solve for %3D

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Q: Evaluate the integrals in the following questions using integration by parts

A: Integration by parts formula:∫uv dx =u∫v dx -∫(dudx ∫vdx) dxI=∫ θ cos πθ  dθu=θ, dudθ=1v=cosπθ, I=θ…

Q: 3. J

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Q: ind the area under the given curve over the indicated interval. 15) y =ex; [1, 2] 4. 3. 2 A) e2 -e…

A: We have to find the area under the curve.

Q: +)Use the Runge-Kutta Method SeVelue:.

A: Given y′=(1+1/x)⋅y,y(1)=2.7183,h=0.2,

Q: C08QX dX

A: solution:-∫cos3x dxwe know that cos3x=4cos3x−3cosxcos3x=cos3x+3cosx4=∫cos3x+3cosx4 dx

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Q: A ball is thrown vertically upward with a speed of 15 m/s. Determine the maximum height and the time…

A: Find maximum height and time to reach that's height

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A:

Q: The graph of the derivative y = f'(x) of f(x) is given below. According to the graph, we have f(0) >…

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Q: Vr2 – 2x – 3x (x² 4. lim 4x + 5 (72 25) ten2(r1 2)

A: first we will take x common from numerator and denominator, then take limit.

Q: Find the sum of the series. n=1

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Q: Inside r, = 3 sin x but outside r, 1+ sin x

A: This is a problem related to area calculation by integration. Based on the given graph we will…

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Q: y 21 5 6 -2 -1 %3D1 -D2 3, (N

A:

Q: I. Evaluate the following. You are NOT allowed to use L'Hopital's rule. - 2x – 3x 3 – V11+4x - 1.…

A: fx = limx→-∞pxqx  fx = limx→-∞logπcot-1x1-cosh2xWhere, px = logπcot-1xqx…

Q: During a scouting exercise, Andres leaves camp and hikes 2 miles northwest. He then turns and hikes…

A: topic - vectors

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Q: 8 +3 dx Vx2 + 36 t,

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A: Here we have to use the Runge-Kutta 4th order method

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Q: Point P is rotated 210° counterclockwise around a circle with a diameter of 20 meters. If the center…

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Q: 2 | Vxe-*dx хе ах

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Q: Determine if the geometric series converges or diverges. If it converges, find its sum. 1+ +(…

A: Use geometric series to check the convergence

Q: y"' + 4y" + 9y' + 10y = when x = y = 0, y' = -4, y" = 10

A: To find the general solution of the given differential equation.y'''+4y''+9y'+10y=-24e-x, when…

Q: Consider the function g defined by 1 g(x, y) = cos (Tx VT) + log3 (x – y)" Determine

A: We can solve this as follows:

Q: I. Show that the function f defined by 1, (x, y) = (1, –1) f(x, y) = { x2 + y (x, y) # (1, –1) x + y…

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Q: Solve the system of linear equations бу + 4z %3D -24 Зx + Зу -6 %D 2x 3z = 4 (х, у, 2) %3D (||

A: Here we have to solve the system of linear equations. 6y+4z=-24 ..................... (1)3x+3y=-6…

Q: Find the solution of the following Differential Equations 5) y"-ky' = 0, y(0) = 2, y'(0) = k .

A: We have to find the solution of given differential equation.

Q: Use either integration by substitution or integration by parts as needed to evaluate x²+1 B A x3+…

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Q: Sketch the graph of a function f with domain [1, 5] satisfying all the following conditions: •…

A: This question can be solved by the concept of nature of graphs.

Q: 21) y" – 2y' +10y = 0, y(0) = 3, y'(0) = 3.

A:

Q: What is the absolute maximum value of the function f(x) = x' - 3x? on the interval [-2, 3] ? а. ) O…

A: We have to find the maximum value of the function

Q: Write each of the other trigonometric functions of e in terms of cos(@). (Enter your answers as…

A: We can solve this as follows:

Q: If P(t) is measured in dollars/hour and t is measured in hours, what are the units of P'(t)? O…

A: Given P(t) = dollars/hour P'(t)=d/dt(dollars/hour)  We are derivating with respect to time

Q: Set up UP the integrel the Pegioni Th bounded 2x2 and y =l+ x F(x,y) dA in by: y= 2x? 2. 4.

A: