y = x°, y = 256 , y axis , revolved at y axis 3.

Q: The supplement of an angle is twenty degrees less than four times the angle. Find the measure of the…

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Q: . Use separable equations to find the general and particular solution of xy dx – (x +

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Q: Determine if the following statement is true or false. The points P,(2, 0, 1), P2(3, – 2, – 3),…

A: We know that three points P1, P2, P3 lie on the same line if direction ratios of P1P2 and P2P3 are…

Q: Find the solution with the given initial condition. r"(t) = (e', sin (t), cos (f)), r(0) = (1,0, 1),…

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges.…

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Q: 12. 5 In(3x) dx 5ln (3x) + C 4

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Q: ne indicated function y, (x) is a solution of the given differential equation. Use reduction of…

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Q: Determine whether the series converges using the limit comparison test. 4k2 – 2k +9 Σ 20k7 + k – 20…

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Q: 9. Evaluate the following definite integrals. S" V5x – 1 dx 10 а. b. J sin 2x dx

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Q: A rain gutter is to be constructed from a metal sheet of width 30 cm by bending up one-third of the…

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Q: dx 21 + C %3D

A: We have to find the value of ?

Q: Show that the lines L1 : x =1 – t, y = 2t, z = 5+t and L2 : x 1+ 2t, y = 3 – 4t, z = 5 – 2t are…

A: Let's find.

Q: Find the vector component of v = 2i – j+ 3k along b = 2i + 4j + 4k and the vector component of v…

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Q: 5. If f(x) = 2x² + 3x + 5, f(c) = 20, and the interval is [0,5], use the Intermediate Value Theorem…

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Q: 6. In the large triangle of Figure 16, m is the weight line (it bisects the side to which the line…

A: 6. The vector which bisects the line joining by two vector heads is the mid-point of the two. So,…

Q: 2. f(x) = x² - 5x + 6 A. x = 1 B. x = -3

A: This is a problem related to limit and continuity parts of the calculus. Based on the general…

Q: Consider the points A(1, –1,4), B(2, –3, 2), C'(-1,–2,2), and D(4,3, -6). (a) Find the volume of the…

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Q: Find the directional derivative of the function at P in the direction of v. h(x, у, 2) %3D хуz, Р(5,…

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Q: The students at Prairiewood Elementary plan to make a pyramid out of plastic cups. The bottom row…

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Q: 16. Determine if 4x – 3xy + yʻ is homogeneous or not. If it is homogeneous, state the degree of the…

A: Given : f(x,y)=4x2-3xy+y2   To Check : f(x,y) is homogenous or not and it's degree, if it is…

Q: Find an equation of the plane that passes through the points (3, 3, 5), 2, 2, —1), аnd ( —5, 3, 4).…

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Q: (2x - 5y + 3)dx - (2x+4y - 6)dy = 0

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Q: Find parametric equations of the line through (-3,0, 4) that is parallel to 5i– 8j+k. x(t) y(t) =…

A: Parametric equations of a line passing through the point P(a,b,c) and parallel to the vector v→=…

Q: Consider the function f(x, y) = 2x² – 7y² subject to the condition x? + y = 25. Use Lagrange…

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Q: 1 dx 5х e

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

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Q: Find the distance between the parallel planes – 2x + y+ z = 0 and 6x – 3y – 3z – 13 = 0. NOTE: Enter…

A: -2x+y+z=0 6x-3y-3z-13=0   Divide the second equation by -3, to make the coefficients equal in both…

Q: Find the vector component of v = 2i – j + 3k along b = 2i + 4j + 4k and the vector component of v…

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Q: Solve using GEMPS X1 + 3x2 + 5хз + 7x4 7x1 + 9х2 + 2хз + 5х4 5x, + 7x2 + 7хз + 7x4 2x1 + 2х2 + Зx3 +…

A: This is a problem related to gauss elimination method. Based on the general concepts we will solve…

Q: Note the word curve is used to indicate a graph and can be for example a straight line, parabola…

A: We have to find the area enclosed by the curves.

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (–3,0,…

A: We need to find Parametric equation.

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (3, –4)…

A: A detailed solution is given below

Q: 3. Let u =x² – 2xy+2y' with x = s´ · Int and y = 2s ·t° . au au and at Find as

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Q: (z²+2z)* Find dy/dx, given the following: y = (z²+2»)* 3(3=²+2)(²+2)* (2+22) ( 17_36z+10z-24 Vr-4 O…

A: Given: y=x3+2x32x-4   As we know that; The Quotient rule: fg'=f'·g-g'·fg2   The Chain rule:…

Q: Find an equation of the plane that passes through the point P(-7,-2,5) and has the vector n = (-7,4,…

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Q: Let R and S be the relations defined as below 2. R = {(1,2), (1,3), (2,3), (2,4), (3,1), (4,1)} S =…

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Q: Let p(x) = x° + 10x- 36x3 + 36x² – 37x + 26. What is the relationship between p(x) and f(x) = 5x +…

A: The objective of the question is choose the correct option.

Q: X Your answer is incorrect. Edit Find the vectors that satisfy the stated conditions. NOTE: Enter…

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Q: Find an equation of the plane through (-2, 8, – 5) that is perpendicular to the planes 2x – y + z =…

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Q: Express the given parametric equations of a line using bracket notation and also using i. j.k…

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Q: Part I x² -9 1. lim х>з х-3

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Q: Find the parametric and symmetric equation for the satisfying the given condition. 1. Through the…

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Q: 4x + 5 S(x) = 9- 3x A. x = 0 B. x = 3

A: To determine whether the given function is continuous and differentiable at the given points or not.

Q: Now, let f"(x) =0 and solve for x. Remember that f"(x) = - sin is a periodic function, and thus…

A: use the equation above for solving the equation for x.

Q: 1. Using Lagrange multipliers, find three positive numbers whose sum is 18 and such that the sum of…

A: The Lagrange multipliers method is a strategy for finding local maxima or minima of a function using…

Q: Part I x2-9 1. lim х>з х-3 -2. 2. lim х2+5х-6 X→1 х2—1 2x2-х-21 3. lim X→-3 9-х2

A: Note: students has mentioned only 3 question no so I solved accordingly

Q: (3) Find the position function of the particle at time t ≥0. a(t) = 3t −14, v(2) = 0, s(−1) = 2

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Q: Let f be continuous and differentiable everywhere. Suppose that f(-1) = f(1). Show that there are…

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Q: dv v2

A: Use the basic properties of integration.

Q: dx =+c 6. 2.

A: We can solve the given problem as follows: