2. Evaluate f'(5) for y = v2x² – 1 hor Ju OIT

Q: Express the derivative in "subscript" notation. NOTE: Your answer should take the form fo.

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Q: x²y" – 3xy' – 2y = 0 а.

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Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

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A: Given,  ∫ x3x2-4dx

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Q: 21. Find af and of if f(x,4)= 3x" +2xy+ Sy , x= 4v? + Bn", and u 2v-w? Vour %3D 4= 2v-w? Vour av…

A: We have to check

Q: Let 7 (t) = (3t2 – 1,t? – 2t3, Find the line (L) tangent to r(t) at the point (11, – 12, – 64) –…

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Q: its magnitude and direction angle. 14. ļu| = 8, 0 = 225°

A: Topic:- vector algebra

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A: topic- differential equations

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A: Given,            The vector is <-3,6,2>.To find : The magnitude of the given vector.We know…

Q: Jy csc?y dy is equal to A —у сoty — coty dy - Scon dy у сoty coty dy с) -у соѓу+ coty dy D) None E у…

A:

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

A: Green's theorem states that for  counterclockwise direction∮CPdx+Qdy=∬R∂P∂y-∂Q∂xdxdy

Q: 1. Find the volume of the solid obtained by rotating the region bounded by the given curves about…

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Q: ||F(t) × r"(t)|| ||r(t)||* Use the formula k(t) = to find k(t). r(t) = e""i+e-tj K(t)

A: To find out the k(t).

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A: topic - application of derivatives

Q: Consider the following equations. f(y) = y2 g(y) = y + 2 Sketch and shade the region bounded by the…

A: We have to find the area of the enclosed portion.

Q: Find V · (V × F) if F(x, y, z) = 3 sin xi + 9 cos(5x – 6y)j+ 10zk.

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Q: A stone is thrown vertically upward from the ground with an initial velocity of 128 ft/sec. How long…

A: see below the answer and explanation

Q: dx xV4-x?

A: Explained below

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A: To find the solution of the given initial value problem.

Q: Consider the following. RX) = x In x², (-1, 0) (a) Find an equation of the tangent line to the graph…

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Q: Find T(t) and N(t) at the given point. r(t) = 8 cos(t)i + 8 sin(t)j; t= 3 T() N(G) .3

A: To find the vectors T(t) and N(t)  for the given r(t) at point t=pi/3.

Q: So 32 (2 + 4)° da = 5120 Select one: O True O False sin4xdx = 4 7/12 %3D Select one: O True O False…

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Q: integral

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A: We have to find the limit

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A: Integrate by parts.

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Q: Evaluste the line integral using Green's Theorem and check the answer by evaluating it directly.…

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A: find the area under the curve

Q: Evaluate the integral. yz dx dz dy O8 68 3.

A: We have to evaluate the given integral

Q: integral using ir

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A: we have the parallel line equation y=-5x+4 comparing with y=mx+c m=-5 is the slope point slope form…

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Q: A = (0, -3) and B = (5,9) A = (3, – 11) and B = (9,-3)

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Q: Identify u and dv for finding the integral using integration by parts. Do not integrate. In(5x) dx u…

A: We will evaluate the given integral as shown below

Q: 2) Use polar coordinates to evaluate ff, sin OdA with R being the region in the first quadrant…

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Q: For the given cost function C(1) = 128/a + find 512000 a) The cost at the production level 1800 b)…

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Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution. 1. dx

A: see below the answer and calculation with steps

Q: Evaluate the line integral g. y³ dx – x²dy, where C is the positively oriented circle of radius 2…

A: Solved below.

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Q: If f(2) = 10, f' is continuous, and f'(x) dx = 20, what is the value of f(3)? f(3) =

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Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. 1 n Vn8 + 4…

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Q: A candy box is made from a piece of cardboard that measures 31 by 17 inches. Squares of equal size…

A: let the cut out square side be "x"length of cardboard is 31 inBreadth of cardboard is 17 inAfter…

Q: A tower leans at an angle of about 84.7"., The figure shows that 171 feet from the base of the…

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