For the given vectors a and b, find the cross product a × b. a = (1, 0, -3), b =(3, 4, 0) axb=

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 2x² - 2 dy= Need Help? Read…

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Q: Replace the polar equation r. sin (0+ 1 (0+²) = 2 to Cartesian equation

A: See the details solution in below

Q: Find the area between the curves y = e 1. = y = 2.3x + 1 from x = 0 to x = Area -0.4x and

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Q: The force F (in pounds) on a person's back when he or she bends over at an angle from an upright…

A: The given model is: F=0.6W sinθ+90°sin(12°) where W represents weight of the person in pounds.

Q: (x, y) = x(x + y)

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Q: Verify Green's Theorem by evaluating both integrals ON √ y² dx + x² ov - [/(2x - 2M) da dA R ax ду…

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Q: Find the value of d²y/dx² at the point defined by the given value of t. x = csc t, y = 2 cott, t = ○…

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Q: Find the tangent line approximation to the graph off at the given point. Then complete the table.…

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Q: On Integral of Trigonometric Functions: Determine the integral of the ff. functions. 3. sec 2 (3x +…

A: To find the integration of Functions: As per Bartleby guidelines we are supposed to answer only…

Q: interval of convergence = 0

A: Follow the procedure given below.

Q: Find the volume of the solid obtained by revolving y(x) = sin(7x) for 0 ≤ x ≤ about the x-axis. (Use…

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Q: = fºx R/2 Given that evaluate - b² = g², use this result and the fact that 2 (6 cos(x) - 6x) dx. x…

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Q: Find the area of the region enclosed between f(x) = x² + 4x + 12 and g(x) = Area = | 2x² + x + 2.

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Q: Use the figure to derive the formulas for sin sin(). = $(€). [ COS tan TOIN cos e 6 (2). sin 0 cos…

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Q: Prove the identity. sin x 1+ cos x 1- cos x sin x

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Q: (a) Find the acceleration of the body each time the velocity is zero. Enter your answer as a list if…

A: Follow the procedure given below.

Q: y is independent of A. Given y e sin x. Evaluate at the point x = 0. answer. y = -x (cos(xx+b) d'y…

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Q: Applying the ratio test to the series ∞ 5k-1 k=1 (k+ 1)².4k ³ you would compute ak+1 lim = ak Hence…

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Q: Use the rules of differentiation to find the derivative of the function. y=9x². + 7 sin x

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Q: Evaluate the definite integral 05/dx. Give an exact, completely simplified 0.5_6x² answer. Hint:…

A: Use  substitution method for solving integral.

Q: Find the volume of the solid obtained by rotating the region enclosed by the graphs of y = 27 - x, y…

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Q: Radius of Convergence of a Power Series. Determine the radius of convergence for the series (n!)²zn…

A: Use ratio test to check the radius of convergence .

Q: If cos (2θ) = 3/5 and 0 ≤ θ ≤ π/4, find the values of i. sin (2θ) ii. cos (θ) iii. sin (θ)

A: Given, Cos2θ = 3/5 Formula: Sinθ= √(1-cos2θ) Cos2θ=2cos2θ-1

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) [0, 6] x2

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Q: use the constrained variation to maximize the volume of an open cone when the surface area is 2π

A: use the constrained variation to maximize the volume of an open cone when the surface area is 2π

Q: Find all the values of a such that the given series would converge. Answer: Note: Give your answer…

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Q: Solve for the solution of: (D2 - 4)y = 8e2x - 12

A: Given problem:- Solve for the solution of: (D2 - 4)y = 8e2x - 12

Q: Solve the DE ý - y = x

A: See the details solution in below

Q: 6- Write four examples about sketch the graph in polar coordinates from families of cardiod and…

A: Let's find.

Q: Consider the following. f(x) = - { $( (²), <1 |x|≥1 Find the x-values at which fis not continuous.…

A: We have to find the points at which the function is the discontinuous.

Q: - y' + y = 2 sinx when y(0) = -1

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: Prove the identity. sin 2, x = 1- cos x 1 + cos x Note that each Statement must be based on a Rule…

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Q: The base of a certain solid is the area bounded above by the graph of y = f(x) = 4 and below by the…

A: Here, the given region is bounded above by the curve y=g(x)=4 and bounded below by the curve…

Q: . DO NOT SIMPLIFY YOUR ANSWERS. - 1. log₂ 19²( √/2x² + y) + tan(x² − x²) = sin^¹(x² − 1) + ² Find d

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Q: Identify and choose the appropriate quadric surface. Figure 1. Figure 2. Figure 4. Hyperboloid of…

A: Given that the quadratic surface      x2+(y2/16)+(z2/64) = 1

Q: Find the derivative of the function by the limit process. g(t) = t³ +7t g'(t) =

A: We have to find derivative

Q: 1. F = cos y i+ xyj + yk, A B C D E F О н A. i+j+(y-siny)k B. i+ (siny - y)k C. j (2y-siny)k D. 3i -…

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Q: Find the value of d²y/dx² at the point defined by the given value of t. x = sint, y = 7 sint,t=4 14…

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Q: Use the form of the definition of the integral given in this theorem to evaluate the integral. [²4x³…

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Q: Given the function f(x) = -√√x + √³, find f'(6). Express your answer as a single fraction in…

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Q: Graph the pair of parametric equations with the aid of a graphing calculator x = 4 sin t - sin 4t, y…

A: Given x=4sint-sin4ty=4cost-cos4t0≤t≤2π

Q: 4- Suppose that you can learn N(t)= 64t - t³ words of a new language after 1 hours of study time. a-…

A: We have to find the rate in words per hour.

Q: Find an equation for the ellipse whose graph is shown. I X y X 3 0 4

A: The figure of the ellipse is To evaluate: The equation of ellipse.

Q: Assuming that the equations define x and y implicitly as differentiable functions x = f(t), y =…

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Q: What are the rectangular coordinates of the point whose spherical coordinates are (1, ½π, π) ? x = Y…

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Q: Find all solutions of the equation in the interval [0, 2). sin x=√1- cos x Write your answer(s) in…

A: To solve the given trigonometric equation.

Q: Use Green's Theorem to evaluate the line integral ſ (y + e√x) dx + (2x + cos y²) dy, where the given…

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Q: Use Green's Theorem to evaluate the line integral. for y2 dx + xy dy C: boundary of the region lying…

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Q: Find the tangent line approximation 7 to the graph of f at the given point. Then complete the table.…

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Q: Find the differential dy of the given function. sec² x y x² + 2 sec 2x (2x²tan x + 4 tan x-2x)…

A: This question is based on quotient rule