Find the slope of the parametric curve x = -3t² +8, y = 6t3, for-co

Q: Use sigma notation to write the sum. 5 5 5 3 + 1 3 + 2 3 + 3 A i = 1 + + + ... + 5 3 + 12

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Q: Find the definite integral of f(x) = x(3x + 2) over the interval [0, 2].

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Q: Match each of the following simplified rational expressions to its equivalent system. A B C 2(x-6)…

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Q: 15. Find the domain of the vector-valued function r(t) = and evaluate lim, or(t).

A: To find the domain of given function

Q: Find the surface area of the helicoid (spiral ramp) with vector equation T(u, v) (u cos v, u sin v,…

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Q: 4 2 So S²/ : |~ 0 √x y³ +1 dydx

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Q: For each of the following integrals, explain which technique of integration should be used to…

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Q: Differentiate y = eª — x² arctan x.

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Q: The parametric equations and parameter intervals for the motion of a particle in the xy-plane are…

A: We have to find the equation of the curve from the given parametric equation.

Q: Evaluate the limit. [A] = [B] [C] - [D] - [B][C] lim h→0 1 3 - 1 3+h h [E] ∞

A: Given query is to find the value of the expression.

Q: For the following equation (a) find dy, and (b) evaluate dy for the given value of x and dx. y=x² -…

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Q: (a) Jalna da

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Use left and right endpoints and the given number of rectangles to find two approximations of the…

A: Solve the following

Q: Express the limit as a definite integral on the given interval. 2x;* + (x;*)² Ax, [1, 6] lim n→∞ dx

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Q: A particular computing company finds that its weekly profit, in dollars, from the production and…

A: Note - As per our guidelines we have to answer first three sub parts if multiple subparts are…

Q: x²y² − 2xy = x¹ + 3; y = 2 when x = 1

A: To solve the following differential equation.x2y'-2xy=x4+3; y=2 when x=1.

Q: (a) (b) y 10 X-C 8 6 4 2 lim f(x) = x+c+ lim f(x) = (c) lim f(x) = X-C 2 4 Is the function…

A: We have to determine the limit  using the given graph and c=9

Q: Water leaking onto a floor forms a circular pool. The radius of the pool increases at a rate of 4…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: In the given graph determine the domain and range. E Domain Range

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Q: Find the general indefinite integral. (Use C for the constant of integration. Remember to use…

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Q: A cylindrical can has a volume of 2π cm3. What dimensions yield the minimum surface​ area?

A: Given that , Volume of cylinder V=2π cm3 What dimensions yield the minimum surface​ area?

Q: A cylinder is leaking water at an unknown rate. The cylinder has a height of 4 meters and a radius…

A: Let height of cylinder=h m Let radius of cylinder=r m

Q: Find the Taylor polynomial of order 3 generated by fat a. f(x)= In (x + 1), a=5 O A. P3(x) = In 4 –…

A: To find the Taylor polynomial for given function.

Q: x=t+et, y = 1 – et

A: Given query is to find equation of the tangent.

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of F(x) = f*cos(tº) dt.…

A: The given function Fx=∫x5xcost6dt. We have to find the derivative function F'x.

Q: Express the following in complex exponential form: x[cos (yº) + jsin(y)] Where x = 10 and y = 128.…

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Q: Use the following function to answer parts a through c. f(x)=x² +7x² - 4x-10 a. List all rational…

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Q: Find the area under the given curve over the indicated interval. y=x³; [0, 3] The area under the…

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Q: 2y 8. y' — ² = x²ex ; x = 1 when y = 0

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Q: 6 9 A 4 B

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Q: 4. Evaluate JJ✓ D √yevdA where D is the region bounded by y = x² and y = 4.

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Q: The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.05t³…

A: Given,            The total sales of a company in millions of dollars t months from now are…

Q: For each surface (u, v), identify the best description of the surface's shape. r(u, v) Shape > >…

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Q: se also that p and x are both functions of time, measured in days. Find the rate at which x is…

A: Given query is to find rate of change of x.

Q: Two resistors, Rx and Ry, are connected in parallel. The two resistors are time-dependent such that…

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Q: me value of k for which f(x) Sx² - kx if x ≤- 3-kx² if x>- [B][C] - [D] -3 [E] -1

A: Given query is to find the value of k

Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

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Q: Use left and right endpoints and the given number of rectangles to find two approximations of the…

A: we need to find out the left and right riemann sum.

Q: The cuberoot of a number can be approximated by the recursive formula 1 3 Sn = 25n-1 + A (Sn-1)²)…

A: Let's find second iterative value.

Q: Evaluate fay³dx + x³dy, where C'is the rectangle with vertices (0,0), (5,0), (5,6), and (0,6).

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Q: Consider the following functions. f(x) = 4x + 7, g(x) = 5x - 1 Find (fog)(x). Find the domain of…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: How do you find the radius of convergence of a power series cn (x − a)"? n=0

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Q: (d) A satellite orbiting the Earth passes directly overhead at observation stations in Phoenix and…

A: let distance between phoenix and los angeles = x so x = 340 mi angle from los angeles ( θ1 ) =…

Q: 5 5 Suppose f(x) dx = 9 and g(x) dx = -1. djg (a) dx = Evaluate (-3 f (x) - 2 g(x)) dx. -4 Remember…

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Q: Evaluate the integral. 3 (ar ³-7) de 1

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Q: A poster is to have an area of 150 in2 with 1-inch margins at the bottom and sides and a 2-inch…

A: Given Area ( A ) = 150 in2let height = l width = b so lb = 150 b = 150l

Q: Obtain Fourer Series of the following 044440 f(x) = of 0< x ≤T function

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Q: fx³ cos4xdx (you can use short cut method)

A: ∫ x3cos4xdx

Q: (c) Triangle ABC has a = 7 in; b = 8 in and c = 10 in. Solve for cosA. CAL 22/20

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