g. h. √(x² [x³e³dx x² - 2x + 1)e2x dx

Q: Determine the way in which the line [x, y, z] = [5, −9, 3] + k[1, −12, 2] intersects the plane [x,…

A: Determine the way in which the line [x, y, z] = [5, −9, 3] + k[1, −12, 2] intersects the plane [x,…

Q: 3. Evaluate the definite integral (a) (b) (c) (d) 256 15 15 256 Cr 62 f(x+ (x+2)√x+1 dx.

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Q: Use the equations to find дz ax дz = || = дz ах əz ах = and ƏF ?х ƏF дz дz ду e² = 2xyz and əz ду…

A: The solution is given below

Q: 1. 6 2x² =dx 1 + x

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Q: e. f. dx x log10 x [x²: x² sin x dx

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Q: Find the general solution of the following DE. y' = 3 (y + 1) O y = 3ce³x - 1 Oy = ce³x - 1 Oy =…

A: y' = 3(y+1) dy/dx = 3(y+1) dy/3(y+1) = dx dy/(y+1) = 3dx now apply both side integration

Q: One car leaves a given point and travels cast at 20mph. Another car leaves I hour later and travels…

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Q: Evaluate the following double integral by converting to polar coordinates where J 5xy 2x² + 2y² R…

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Q: Find the vertical asymptotes of the function. y = 2x² +1 3x-2x²

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Q: at L'Hôpital's rule may not apply or may require multipl w and, if necessary, fill in the answer box…

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Q: Q1.B. if k-1 is an eigen value of (₁2). find one corresponding eigen vector?

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Q: E. Find an equation of the plane passing through the point (6, 3, 5) and containing the line of…

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Q: -0.1 Using the Trapezoidal rule, the approximated value for the integral: √1+x dx, is equal to о о 1…

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Q: Using lim 0-0 sin 0 0 =1, find the limit. lim 18x (cot x)(csc 9x) X-0

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Q: Estimate the slope (slope = rise/run) of the tangent line to the curve. Ау 10- 9- 8 7 6 5 4 4 -1 0 I…

A: Here is the solution.

Q: What is the area beneath the curve y=x2 +1 and above the x-axis from x = 0 to x = 4 by using the…

A: Here we have to use Riemann right end sum

Q: 16. If g(x) = x + 2 cos x, then the equation of the tangent line to the graph of g at x = is 3π 2 A.…

A: This is a basic application of derivative problem

Q: . The step size (h) in Trapezoidal Rule for the integral ſ¹e³dx is equal to-- None of them O 0.25 O…

A:

Q: The angle u= between the two vectors \(\) and U= is equal to 0=T

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Q: 6) Find the value of cot t if cos t = a) O b) O c) O 2 d) 0 1 Previous Page 6 of 8 Next -and T < t <…

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Q: Give the component form of the vector represented by the directed line segment from (4, 5, 6) to (4,…

A: See this  solution in below

Q: Find the derivative of f(x) = (-x³ - 2x² - 2x) sin(x). Do not include "f'(x) =" in your answer.…

A: Topic = Derivative

Q: ♡/ Find the Domain and the range of the function F(x)=√x-2

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Q: ا 1 x2(x – 1) dx

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Q: The Newton forward-difference formula is used to approximate f (0.3) given the following data. 0.0…

A:

Q: 1. Evaluate the iterated integrals. In 3 In 2 (a) f f e** dydx S S 00 (b) ff X 00 (xy+1) dydx (c)…

A: This question is related to double integration, we will solve it using given information.

Q: To produce x units of a religious medal costs C(x)=15x + 112. The revenue is R(x)=31x. Both cost and…

A:

Q: u - If ü = 43 - 2k and = 2 - 3 + 7k, find 3u - 27.

A:

Q: 1.Given : Parabola with F: (4, -3) and Directrix : Required: a. Equation in standard form y = 5 b.…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: If x² + x = 1 Find 8 + 5* x+1

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Q: The acceleration function (in m/s2) and the initial velocity v(0) are given for a particle moving…

A:

Q: R is the region bounded by the functions f(x) = sin(x) + 1 and g(x) = 2x/π + 1. Find the area of the…

A: Area between curve

Q: 1. Find the solution of the following differential equation? Then find the particular solution with…

A:

Q: Consider the set S of primes less than 15. List the set S . (Input this as a list with no spaces,…

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first three parts of…

Q: Question 1 [ a) Find the value(s) of y such that the vectors U₁ = and U₂ = are parallel. b) Find…

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Q: A former plans to enclose a rectangular pasture adjacent to a river. To provide enough grass for the…

A: In this question we have to find the dimension which use the least amount of fencing.

Q: Find the general solution of the following differential equation. y" 6y + 11y = 0 - NOTE: Use c₁ and…

A: This question is based on solution of Complementary function of diffrential equation.

Q: Method of undetermined coefficients y" -y = 3et ○ y = ₁₁e² + c₂e²x + ²√xex O y = c₁e¹ + c₂e²x + 3xe*…

A: Let's solve given diffrential equation.

Q: Assume that the radius r of a sphere is expanding at a rate of 70 cm/min. The volume of a sphere is…

A:

Q: Find the exact value. 3 S sin cos 2 0 x dx

A: Follow the procedure given below.

Q: Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a) =…

A:

Q: 7. A company sells two models of a product. Suppose the profit equation is P(91,92)=−16.0 +598.8q₁…

A: We have to find the profit.

Q: Find the general solution of the following differential equation. 16y" + 40y' + 25y = 0 NOTE: Use c₁…

A: to find out the solution of the given differential equation.

Q: tan ³ (3x) sec" (3x) dx

A:

Q: Compute the double integral ff(6zy2 +12z³y + 4y) dx dy with R= 3,5 z [1,2].

A: See this solution in below.

Q: on what intervak of x is the graoh is g(x) increasing? justify your reasoning

A: To determine the interval of x for which the graph of gx is increasing.

Q: 21. If g(x) = A. =/20 C. 2 {22² (x² + 2, x ≤ 1. (2x + 1, x > 1' then g'(1) is B. 1 D. 3

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Q: 52. If A. 10 C. -2 -8 5 g(x)dx = -4 and g(x)dx=6, what is g(x)dx? 2 ¹s 1miz d -8 B. 2 D. -10 12035

A:

Q: Find an equation of the line tangent to the graph of f(x) = (5x − 9)(x + 6) at (2,8). The equation…

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Q: Differentiate'. y=ın [(4-x)² (4x-5) (X²-17)] 2

A: