Find the slope of the curve at the given point. 5y5+3x3 = 2y + 6x at (1,1)

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Q: Evaluate the integral fx² cos(4- x³) dx sin(4 — x³)+C O -sin

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Q: 1. Describe the convergence of the series 3! + 3² + + (n+1)² (n + 2)! +

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Q: Question 4.11) Compute the following limits at infinity. A) lim D) lim Chapter 4: LIMITS (SECOND…

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Q: Find the general Solution For D. E X dy dx +3y = Sinx x2

A: The given differential equation

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A: e) From the graph it is clear that:LHL = Left hand limit at x=3: limx→3− f(x) = -4RHL= Right hand…

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Q: Find u x v, v x u, and v x v. u = 2i + 6k v = 5i + 9j - 2k. (a) -54i + 22j + 18k u x V (b) V x u 54i…

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Q: Step 4 of 6 We now need the coordinates of a point on the tangent line. Find the y-coordinate of the…

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Q: Use natural logarithms to solve the equation. -0.417t = 6 The solution is t = 0 (Simplify your…

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Q: Use series to approximate the definite integral I to within the indicated accuracy. 0.5 I = 600 x…

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Q: Consider the function f(x) = x³ + 6x² - 16x - 104. = A. Verify that f(x) Theorem on [4, 5]. ³+ 6x²…

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Q: An angler hooks a trout and reels in his line at 5 in./s. Assume the tip of the fishing rod is 11 ft…

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Q: 4. The financial department of a hospital arrived at the cost function: C(x)=20x³-360x² +2300x-1000,…

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Q: Let f(x) = x^4 − 4x^3 − 20 (a) Find the zeros of f"(x). Then decide which of these are inflection…

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Q: I If y = 2 cos x + sin 2x, find y" at x = - x=27/17-

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Q: Find f such that f'(x) = f(x) = √x¹ f(1) = 13. ***

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Q: Evaluate ]] x + y dA, where R is the region bounded by x = 1, x = 4, y = x, and y = 6 — x. R

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Q: Find the Taylor polynomials of order 0, 1, 2, and 3 generated by f at a. f(x)=√x, a = 100

A: A Taylor series is given by f(x)=∑k=0∞f(k)(a)k!(x−a)k

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Q: Solve the following integration :- S [ 5 Cos x dx

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Q: Determine whether the lines LI and L2 are parallel, intersect, or are skew: L1: x= -1 + 4t, y =…

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Q: y = sin x y = -cos x

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Q: Find all critical points of the function f(x) = 2x³ - 14x² + 11x on the interval [0,7). (Use…

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Q: implicit differentation to find dy/dx use then dx²/da² 2y² = x² + 2x and

A: given equation To find:  and You have asking to find the

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Q: Find the general Solution For D-E dy dx +y secx = COSX

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Q: Find u x v, v x u, and v x v. u = (-6, 2, -7) v = (-2, -5, -3) (a) u x V 29i+ 4j + 26k (b) V x u…

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Q: Find the radius of convergence, R, of the series. R = 00 Ё хоп n = 2n (In(n))7 Find the interval, I,…

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Q: Find the intervals of increasing and decreasing  for y= (sinx)/(2+cosx)

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Q: Consider the series n=1 an where (4n² + 2)7+5 10" In this problem you must attempt to use the Ratio…

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Q: If xy + y² = 1 find the value of dy / dx² at the point (0-1)

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Q: Use power series operations to find the Taylor series at x = 0 for the following function. cos²x…

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Q: The amount of carbon-14 present in animal bones t years after the animal's death is given by P(t) =…

A: The amount of carbon-14 present in animal bones t years after the animal's death is given…

Q: Find the radius of convergence, R, of the series. R = xбn n=2 n(In(n)) Find the interval, I, of…

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Q: K A bakery works out a demand function for its chocolate chip cookies and finds it to be d =…

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Q: Find the two solutions of the given equation z² + 6z+ 10 = 0. / in your answers should be positive Z…

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