Find the indefinite integral. S(e¹ i + j + costk) dt O e¹i + tj - sint k O e¹i - sint k O e¹i + tj + sint k O e¹i+sintk

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A: I am going to solve the problem by using some simple calculus to get the required result of the…

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Q: Find the magnitude of x, y, and z from the following equations by using the inverse matrix 2x + 3y +…

A: Solution

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A: Here we have to find the domain and range of the given function

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Q: Q.1) Choose the correct answer for the following: (choose 5 only) 1- The vector from point P=(2,2,1)…

A: This question can be solved using the concept of vectors.

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Q: for the function below, the domain and the range is respectively y = |x|-2

A: Here we have to find the domain and the range of the given function.

Q: Find curl F if F = 8zi+ 9xj + 10y k. O curl F = 9i+ 8j + 10 k curl F = 10 i +9j+ 8 k curl F = 10 i…

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Q: B- The derivative is y = ln (sec (In 0))

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Q: ermine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that…

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Q: Suppose

A: We will solve the problem.

Q: Which of the following relations is a function? {(1, 9), (2, 4), (2, 3), (4, 15)} {(2, 7), (7, 9),…

A: Given

Q: Q3) Find an equation for the line which is tangent to the curve y = (1-x)(1+x) at the point where…

A: We can solve this as follows:

Q: 5 Find the equation of the line with y-intercept 7 and slope 9 ||

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Q: The result of the following sin 1² t limit is lim 1-0

A: Here we have to evaluate the given limit.

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Q: 5x²-3x+2 x³ - 2x² 4. Use the method of partial fractions to evaluate ·[³ d.x.

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Q: Show that fis continuous on (-∞, 00). if x ≤1 f(x)=√(1-x² In(x) if x > 1 On the interval (-∞o, 1),…

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Q: Question1: Classify the following differential equations in terms of the (Type, Order, Linearity and…

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A: Here we have to write the given sum in Sigma notation.

Q: B) The Value of the integration for the : below function shown is sec²2xdx [

A: Let's solve given  integration.

Q: Given that  lim x→2 f(x) = 4    lim x→2 g(x) = −2    lim x→2 h(x) = 0, find each limit, if it…

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Q: dy Find given that dx cotx y² · log(x² + y²) = √√√+y√tan(x)

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Q: 3- Find the derivative of sinx +x/2+cos x.

A: A detailed solution is given below.

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Q: for the function below, the domain and the range is respectively y = x²/5

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Q: 6- Do a complete analysis to sketch the following function. F(x)=2x-x²/x²-2x+1

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Q: B) Find derivative of the following function d dx 6tanz

A: A detailed solution is given below.

Q: find x solve for x X+ √√x+2+√x+1 X 4 〃 7024

A: Solution is given below

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Q: Let y = tan(5x + 2). Find the differential dy when x = 4 and da = 0.3 0.6 Find the differential dy…

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Q: Find the vertex form of the function. Then find each of the following. (A) Intercepts (B) Vertex (C)…

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Q: for the function below, the domain and the range is respectively -2+√1-x

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Q: ) R.J&M Company manufactures furniture such as sofas and tables. In their current inventory, a total…

A: We have to find the number of sofas and tables.

Q: Show that f is continuous on (-00, 00). if x ≤1 f(x) =(1-x² In(x) if x > 1 On the interval (-∞o, 1),…

A: solution:-f(x)=1-x2   if x≤1ln(x)     if  x&gt;1on the  interval -∞, 1 f is quadratic function &amp;…

Q: 3. ) Consider the function f(x, y) = 2r+y²-2²-2y. The critical points of f are (-1), (0, 1) and…

A: In this question, we need to classify each critical points using second derivative test.

Q: 9- Identify the points of discontinuity, holes, vertical asymptotes, x- intercepts, and horizontal…

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Q: Vector = k(cos, sin 0). 1. Write the linear combination form for a vector w with magnitude m that is…

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Q: Solve the given initial-value problem by finding, as in Example 4 of Section 2.4, an appropriate…

A: Given problem:- Solve the given initial-value problem by finding, as in Example 4 of Section 2.4, an…