Prove lim-13x+2=-1

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A: To solve the higher order differential equation.

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A: In this question we have to solve the homogenous linear equation.

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A: linearization

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A: This question can be solved by the concept of resolving of vectors into horizontal and vertical…

Q: 5. 6. tan x dx \cos x (1/2-√√x) dx HIM

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Q: fferential Equations: Growth and Decay Answer the given problem. Show your solution completely with…

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Q: stion T1_Q3 rove by contradiction that there are no positive integers p and q such that 4p²-q² = 25

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A: Given problem:- A rectangle is to be inscribed in an isosceles right triangle in such a way that one…

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Q: 1. A plane is defined by the equation x - 7y - 18z = 0. a. What is a normal vector to this plane? b.…

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Q: 1. Determine the area bounded by curves y = -x² + 4x + 3 and y = −x³ + 7x² − 10x + 5 over the…

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

Q: Consider a plate (the plate has the same shape as the region enclosed by y = x² and y = 4) submerged…

A: We need to find a, b.

Q: 3. +ANIA (3x - 1/2 + sin x) dx

A: As you mentioned question no. 3 solved

Q: S |8x-x2 dx

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Q: a) Approximate the area under graph (a) of f(x) = 2/x² over the interval [2,6] by computing the area…

A: Area using rectangle

Q: Use the Laplace transform to solve the given initial value problem. For technical reasons, write u…

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Q: Q2/ Compute the following integral: 3 x √x - 4 dx

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A: Solution

Q: Find the average rate of change of the function over the given interval. f(t) = 4t² - 3, [3, 3.1]…

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Q: S x² √x²+4 dx

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Q: Solve the following differential equations using any method: dy = tan-¹(x + y) dx

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Q: sin X SS € y dy dx

A: To evaluate the value of given double integral.

Q: The answer is Blank 1. Blank 1 Add your answer Let R be the region enclosed by the curves y = x³ and…

A: To find the value of f(1) in the given integral.

Q: given m=6, n=1, and v=(-4,7), what is v(n-m)?

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Q: A kite 100 ft above the ground moves horizontally at a speed of 5 ft/s. At what rate is the angle…

A: Let's solve given rate of change problem.

Q: π Determine the Taylor series for f(x) = sin x about x == 3

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Q: Solve for x accurate to three (3) decimal places ex-12=7

A: The given equation is  ex-12 = 7  Solve for x.

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Q: 1 Find an equation for the line tangent to the graph of y=2 tan at the point (3,1/8).

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Q: 4. dx x4 √1+x² S=

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Q: Find the angle between the vectors. (Round your answer to the nearest degree.) a =j+ k, b = i +4j -…

A: Given a=j+k b=i+4j-2k

Q: II ex elx е ех его

A: Given

Q: Evaluate the given indefinite integral. 7 c 7 cos √6x dx= [ (Type an exact answer. Type an…

A: Solution: ∫7cos 6xdx Apply integration by parts

Q: 8+2x-x² x-4 8 x=4 than f(x) is continuous at x = 4. book Ask my instructor I T - |0| √i 5 Vi 1, 3…

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Q: - 3x Find the derivative of y with respect to x if y = e

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Q: 6) 10 xdx (1-x2)3/2 S, T₁

A: See the details solution in below

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Q: 1.ſv 2x - x² dx

A: Let's solve given integral.

Q: •S√6 3. 2 √6-x² dx

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Q: Calculate the double integral. 3ху2 11 3xV²_ DA, R = {(x, y) 10 ≤ x ≤ 3, -2 ≤ y ≤ 2} d R + 1

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Q: (3x²-3x-4) 2x²-3

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