4 УТ 4 2 -2 -4 2 4 x

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Q: Find the volume of the parallelepiped determined a=(2,5,-1), b = (0,3,47₁ C = (2,4,1) by the vectors

A: Given:a parallelopiped that is determined by vectors-To find:The volume of parallelopiped

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Q: -5 4 -3 -2 -2 S <x< 5 4- 32 2 3 4 -5 3 The function graphed above is decreasing on the interval The…

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Q: Find the vector equation for the line of intersection of the planes x + y - 4z = 4 and + 4z = -2

A: We have to find the vector equation.

Q: 2. dy=y+t² sint, y(x) = 0. Find the solution of the initial value problem t dt

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Q: Find the area of the region enclosed by the curve y = 6x - 3x² and the x-axis Sketch the curve with…

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Q: an = (-1)" η2 + 3 3η2 + 2n + 1

A: To determine if the sequence is convergent or divergent, we can examine its behavior as n approaches…

Q: Evaluate the following integral using trigonometric substitution. 11x² dx 2 (49+x²)² S.

A: I=∫11x2dx(49+x2)2

Q: Find f'(a) if f(x)=√√√x-a+1. A B a+1 1 P C1 na D √√√a+1

A: we need to find out the derivative of the function at x=a.

Q: Compute the indicated quantity. (Round your answer to the nearest cent.) An investment earns 5%…

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Q: Find the distance from the point (0, 4, -1) to the plane 3x − 3y + 2z = 4.

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Q: Use the given acceleration function and initial conditions to find the velocity vector v(t), and…

A: given acceleration function and initial conditionsa(t) = −cos(t)i − sin(t)jv(0) = j + k,  r(0) = i

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Q: Find the parametric equation for the line where the planes -7x + 7y - z = 20 and 2x + 7y + 2z = 23…

A: Please see the below steps for detailed solution.Explanation:Step 1: Given −7x+7y−z=20 and…

Q: Consider the following series and level of accuracy. 00 Σ n = (-1)^50¹2 (104) + Determine the least…

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Q: 3. Evaluate the integral. (a) f(ti+t²j+t³ k) dt (b) f((1+²) i-4t¹ j - (t²-1) k) dt π/4 (c) f/4…

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Q: 1 Given the geometric sequence: 10, ¹40 Find an explicit formula for an, where the first term is a₁…

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Q: Determine the interval of convergence of the following power series (−1)n-12n+1 Σn=0 (2n+1)! ²

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Q: (BC Topic) For what value of K will all three series below converge? x 3 Series II. Σ II. Ž¹ n=1 n =…

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Q: - Find the area of a triangle PQR, where P = (1, - 2, 3), Q = (1, — 4, 1), an R = (1, 6, 0)

A: we need to find out the area of the triangle whose vertices are given.

Q: 10. () Give an equation of the tangent line to the graph of the function y = 3r²-2r-11 (it is the…

A: To give an equation of the tangent line to the graph of the function  at the point .

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A: We use the cauchy-euler differential equation method and suitable methods to solve higher order non…

Q: Determine the slope of the tangent line to f(x) = 3x-2 x²+4x at (-2, 2).

A: f(x)=3x−2x2+4x at (−2,2).Quotient Ruleddx[f(x)g(x)]=g(x)f′(x)−f(x)g′(x)[g(x)]2

Q: Evaluate 3+ at (1,0)=(5,5) for the function w(x,y) = 2y-y²; w(x,y)=zy-y²; x=U-v₁ y= uv

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Q: Eliminate the parameter & to find a cartesian equation for: 1 - ta 4 =9+2t the equation I = Ay ³²+…

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Q: a. Evaluate b. Evaluate S √x+3 X a. Evaluate dx using integration by parts. x + 3 c. Verify that…

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Q: Find the derivative of the vector function r' (t) = ( -> r(t) = ln(5t²)i + √√19+tj-8e²t k ID 9 9

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Q: Please solve the following calc 3 problem

A: The objective of this problem is to calculate the work done in sliding a box along the ground. The…

Q: Differentiate f(x) = (5x² - 2x + 3) (3x³ + 8x² − 5x + 1) - Show all work.

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Q: Given y= (3x^2+2x-1) / (x+1) determine - a) all restricted values b) all missing points (x, y) c)…

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Q: ssume that functions f and g are differentiable with f(-4)= -2, f'(-4)= 4, g(-4)= -5, and g'(-4)=…

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Q: Find the derivative of the function by the limit process. Find an equation of the tangent line to…

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Q: ax CLA Find points of intersection for the following curves. 13 1- r = 2 + 2 cos 0, 2- following. r…

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Q: [²11 11 cos(x²) dx using the Trapezoidal Rule and the Midpoint Rule, each with n = 4. (Round your…

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Q: For the above quartic polynomial f(x)=22-22³-15.752², identify the interval on which f is concave…

A: given

Q: Problem #8: The curve y = √√25-x², -3≤x≤2, is rotated about the x-axis. Find the area of the…

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