Exercise 2: Write an inequality or pair of inequalities to describe the possible values of x. Then solve for the inequality to find the values of x. 3x - 6 24 94° 119° 19 19

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A: We have to find a point on line which is closest to the origin.

Q: Evaluate the integral using integration by parts. cos

A: We can solve as follows

Q: Match the graph to one of the polar equations. 3) -5 4 -3-2 1 2/3 4 5 1 -4+ 1.

A: This is aproblem related to polar equation calculation. We will assume, x=rsintheta and y=rcostheta

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Q: Find the limit. Use l'Hospital's Rule if it is appropriate. If there is a more elementary method,…

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Q: The graph of the first derivative f' of a function f is shown. (Assume the function is defined only…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

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A: This is a problem related to vector. Based on the general formula we will answer the question.

Q: Evaluate (x + 1)*dx = [(x+1)*dz + f{ (x + 1)*dx

A: Given Problem:- Evaluate ∫13x+12dx

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A: We have to find value of given Integral.

Q: Evaluate the following. Show your complete solution (Handwritten).

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Q: The two planes given below intersect along line l. Determine the distance from point P (2, 3, –1) to…

A: This question can be solved using the concept of line and plane in three dimensional geometry.

Q: Question 2 Let us calculate the definite integral | (2 + a? + 1)°(6æ² + 4x) da

A: Given,            ∫x3+x2+156x2+4xdx

Q: Question 1 f(a)da 7 -2 3

A: The given figure is:

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Q: Find what is asked for each item. Provide a solution for each item. 1.у %3 (2x³ + 3x? - 4x - 5)? ,…

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Q: The value C for the solution of the initial value problem f'(x) = x4 – 8x + 4, given that f(0) = 0.…

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Q: The integral in this exercise converges. Evaluate the integral without using a table. 14 dx V196 -…

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Q: Consider the following. x - 2 f(x) = x2 - 4 (a) State the domain of the function. O all real numbers…

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Q: Cotangent graph does not have an amplitude. True False

A: A Cotangent graph does not have an amplitude??

Q: xsin-1x V1-x2

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Q: Consider the function f(x) that is described by the statment: “ the function decreases to the point…

A: Explanation of the answer is as follows

Q: 3 5 dx

A: To calculate the value of the given integral.

Q: Find the equation of the tangent line at the given value of x on the curve. y° +xy² -61=x+3y°; x:…

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Q: find the intervals where the function is BOTH decreasing and concave up. f(x) = (x^3) - (7x^2)-5x+9

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Q: Given ∫(x5−3x4+6x3+3)dx, evaluate the indefinite integral. Do not include +C in your answer.

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Q: (3e² + 5æª + 6 cos a + 2)dx : 3e? + x + 6 cos a + 2x + c 3e + a + 6 sin a + 2x + c et - x5 + cos z +…

A: Given problem:- ∫ (3ex+5x4+6cos(x) +2) dx

Q: Write the equations in cylindrical coordinates. (a) 7x2 - 8x + 7y2 + z2 = 7 (b) z = 2x2 – 2y²

A: We have to find cylindrical form of the given equation.

Q: Find the average value of the function J (1) = VI +1 from x =0 to x = 3.

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: Find the equation of the tangent line at the given value of x on the curve. 2y (x-4) +x/y = 8; x=4 y…

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = x2 + y2 + z2 (4,…

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Q: Find the volume of the solid that results when the region enclosed by 4x 0, x = 1, and y = 0 is…

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Q: In Exercises 31 and 32, find the unit vector having the same direction as V(P,P,). 31. P;(4,–1,–6);…

A: To find the unit vector that lies in the same direction as V.

Q: Which of the following is a solution to the equation 4 sin (x) - 2 = -4? 210 degrees and 330 degrees…

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Q: a) Determine if the geometric series below is convergent or not. 8" -1 Σ n=1 7h +1 The series is…

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Q: An equation relating demand q and price p is given. Compute the elasticity of demand for the given…

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Q: 2/3 ; 1 <x < 8 3 Problem #2: y =–x 2

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Q: Find the Maclaurin series of the function. f(x) = In (1 – 6x) Choose the Maclaurin series. 6"x" In…

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Q: In Exercises 22 through 24, find an equation of the sphere satisfying the given conditions. 22. A…

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Q: 2. If f(x) and g(x) are continuous functions, then " g(x)] dx = | f(x)dx• g(x)dx. 3. If f(x) and…

A: Note :As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: S 2x(x² - 2x)dx

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Q: a) Find the second and the ninety-seventh term of the sequence 8 15 22 29 ( 18' 33' 48 ' 63 the…

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Q: Use the graph of the polynomial function f(x) (a) to solve f(x) = 0, and (b) find the factorization…

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Q: Find the derivative of the function y = 4x sin '(x) + 4/1 – x². y'

A: Here we have to find the derivative of the given function.

Q: 3. Compute the scalar line integral 3 y – xz ds where C is the line seg- ment from (0, 1, 1) to…

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Q: Find the dimensions of a rectangle with perimeter 104 metres whose area is as large as possible.…

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Q: For the following demand function, find (a) E, and (b) values of q (if any) at which total revenue…

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