What would be the shape of the graphr= 2 cos 0, given that 0 = 0, 7, 5, ? semi-circle in the first quadrant straight line in the first quadrant straight line in the third quadrant semi circle in the third quadrant

Q: + Inx y(In2x – Iny)

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Q: For the function given​ below, find a formula for the Riemann sum obtained by dividing the interval[…

A: To find the formula for Riemann sum and calculate the area under the curve.

Q: 2. Given if 0 b Do the following: a. Determine a value of b so that f is continuous at r = b. b. Is…

A: Given a piecewise function.

Q: f (x) = x1.5 + 2x. We have Find the tangent line L(x) for f(x) near x = 4 and use the tangent line…

A: Consider a function f that is differentiable at a pointx=a.Recall that the tangent line to the graph…

Q: 3 3. Vxydydx Vxdx Vydy Select one: True O False

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Q: Use Green's theorem to evaluate F. dr. (Check the orientation of the curve before applying the…

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A: By using the cylindrical shells method we have to find the volume.

Q: For the following function, find the Taylor series centered at z = 8 and give the first 5 nonzero…

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Q: 4. The surface described by the equation x2 + y + z² = 0 is a(an) (a) elliptic paraboloid symmetric…

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Q: Convert the Cartesian coordinates (1, 0) to polar coordinates. (1, 0°) (1, 90°) (0, 0°)

A: The cartesian coordinate is  x, y = 1, 0 To evaluate: The polar coordinate corresponding to the…

Q: V4. 4-x? Si S dy dx using polar Evaluate 2x-x2 Coordinates.

A: Let's find.

Q: Find the indefinite integral. (Use C for the constant of integration.) 5t dt 1 – 25t4

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Q: 4. If f(t) = 3 sin(4t + 0.12) – 2 cos(3t – 0.72) determine f'(t) when t 1 5. Evaluate when x 1,…

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Q: Find the curvature and the radius of curvature at the point t = 0. x = e' cos(t), y = e' sin(t), z =…

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Q: Determine the speed along a parameterized path s(t) = (9t³, 7t²) at time t = 6 (assume units of…

A: Given problem Determine the speed along a parameterized path s(t) = (9t3 , 7t2 ) at time t = 6…

Q: Given: dx Using trigonometric substitution, solve for the integral form in terms of 0. 0 d® B sin² 0…

A: Given: ∫x2-9x3dx Let I=∫x2-9x3dx   To solve this integral we need to do the trigonometric…

Q: Continuity of a function on an interval: Show your solution, graph (use GeoGebra) and identify if it…

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Q: Which formula is not equivalent to the other two? 10 (-1)*-7 -5 (- 1)* 3 (e) k-7 | 3 (2) k = -7 k+1…

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Q: On a hot summer afternoon, a city's electricity consumption is  −3t2 + 12t + 10  units per hour,…

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Q: If these two y's, y1=e^tcos(t) and y2(t)=e^tsin(t) are both solutions to y''+j(t)y'+k(t)y=0, how do…

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Q: dx If x2 - 2x – 4 is solved by trigonometric substitution, which of the following substitutions is…

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Q: Solve for fx(-9, 9) and fy(-9, 9). f(x, y) = 5x2 + 8xy + 4y2 + 6x − 9y; (−9, 9)

A: Solving

Q: a b and c pls

A: To evaluate the following  given limits.

Q: Q2/ Solve the differential equation by using the appropriate method (cos²x) y' = y²(y – 1)sinx

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

Q: Use the Laplace transform to solve the initial value problem. y''+6y'+34y=136, y(0)=3, y'(0)=0…

A: Solution is given below:

Q: Show that the following are equal using set identities. Provide the correct solution with the name…

A: The left side is: C∩C-B∩C∪A∩B-B∩C-A We first simplify inner parts:  C-B∩C A∩B-B∩C

Q: Is this statement true or false?

A: Given a continuous function f on a closed interval [a, b] and f(a) > 0 and f(b) < 0 or f(a)…

Q: Sketch and determine the opening, vertex and focus of the parabola with an equation of y2 - 8x + 16…

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Q: Given the area  in the first quadrant by x^2 = 8y, the line x = 4 and the x axis. What is the volume…

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Q: d太 2.

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Q: Let C be a curve that is defined by x = 4 sin t and y = cos t, t E 0, 27]. Determine (a) the time…

A: Let C be a curve that is defined by x=4sint and y=cost, t∈0,2π. x=4sint⇒dxdt=ddt4sint=4cost…

Q: x²-9 dx Given: x3 Using trigonometric substitution, solve for the integral form in terms of 0.

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Q: Assume that $10000 is invested at an interest rate of 5% per year compounded continuously. (a) What…

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Q: Q1: Use Green's theorem to evalute f. (xy + y2)dx + x²dy by the curve y = x and y = x2.

A: Given problem:- Use Green's theorem to evaluate ∫c (xy + y2 )dx + x²dy  by the curve y = x and y =…

Q: 5. Suppose that f(n) satisfies the equation 5. f(m + n) = f(m) + f(n) – 2f(mn) for all integer m,n…

A: The objective of the question is computing the value of f(n).

Q: Compute the derivative of the given function. log3 x f (x) = %3D cot x - 2x2

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Q: If an object's position over time is given by the function d(t) = (t +3)e i for t > 0, on what…

A: We have to find range of t for which position is increasing & concave up.

Q: II. Matching Type: Match the definite integral in column A with its value in column B. Letters only.…

A: 11. ∫022x-3dx12. ∫-11x3+2xdx13. ∫03x2-2dx

Q: Find the limit. Use a graphing utility to verify your result. (Hint: Treat the expression as a…

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Q: Let R = {(x, y) ER214 < x? + y < 9}. By inverting to polar coordinates: %3D y? %3D Vx? - + y2 Select…

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Q: I = 10+ 2s I - 1 y +3 12 - z Consider the lines defined by the equations ( : and l2: 9. y = 5s z =…

A: We have to find intersection Point of given line and equation of plane which contain both line.

Q: Find the indicated derivative. f (x) = (x³ – 5x + 2)(x² + x – 7); find f"(x). %3D

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Q: Find the indicated derivative. f (x) = x° sin x; find f(4)(x).

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Q: Find an equation for the tangent line to the curve at the given point. Then sketch the curve and the…

A: Given: y=8x, 16,32

Q: (y-3)/(x+1) dy =y*dx is a separable differential equation. %3D Select one: O True O False

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Q: Determine the type and stability of the critical points of the homogeneous systems: dx = x - 2y dt…

A: We have to determine the type and stability of the critical points of the homogeneous systems.

Q: ven -5z'ydz - 2rzdy+ (z+ y)* dz where C is the helix parameterized by r (t) = (34, sin (t), con (t))…

A: To set up the given  line integral in terms of t.

Q: y- cos(e) ]cix + dy = 0|

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Q: Convert the polar equation r2 = -2 sin 20 to a Cartesian equation. O +y? = 2 xy O12+)² = -4 xy…

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Q: g(t) = 2t3 + 3t² – 12t Find the intervals where g(t) is increasing and the intervals where g(t) is…

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