The volume of the solid obtained by rotating the region enclosed by y = x = 1, x = 7, y = 0

Q: 17. Evaluate: √4x² - 4x + 5 dx A. √4x² - 4x +5 +In(2x+1+√4x² - 4x + 5) + C 8. √4x² - 4x…

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Q: b). Find the equation of the plane that passes by P(1, -2,3), Q(1,0,1), and the Origin O(0, 0, 0)

A: We have to find the equation of plane.

Q: Suppose we know the following: z = f(x, y) where x = 2v-u, y=v² +2u, (-3,2)= 12, fy(-3,2)= -15,…

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Q: Find the antiderivativef e* sinxdx A.je*(sinx – cosx) + c C. e*(sinx — cosx) + c Find the…

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Q: 4. 4 1 [x²ydxdy 20

A: The objective of the question is evaluate the double definite integral.

Q: O [-5, -1) U (1,6] O (-5,6] O [-5, 6] O (-5, -1] U [1, 6] Find the domain of r(t) = (ln(t + 5),…

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Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x) 7x² + 2x…

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Q: Graph of the function. Show all 7 steps.  g(x)=x2-2x-15

A: Must have idea about the seven steps to determine the graph of any rational function.

Q: In(t)dt

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Q: Consider the function f(x) below. Over what open interval(s) is the function decreasing and concave…

A: We need to find out the intervals on which the function is decreasing and also concave up.

Q: - 1. 1 [(ow + √w) dw

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Q: Find the average value of f(x) = Enter the exact answer. fave = x (6x² + 5)² over the interval [0,…

A: Avg value is given by below

Q: How much must be deposited today into the following account in order to have $65,000 in 5 years for…

A: Given :Future value =F=$65000Present value =P=?Rate = r=6%=0.06Time=t=5 years

Q: Find y dV, where E is the solid bounded by the parabolic cylinder z = = 2 and the planes y = 0 E and…

A: The solution is given below

Q: Use the Second Derivative Test to find the location of all local extrema in the interval (-2, 8) for…

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Q: Find r'(t), r(t0), and r'(t0) for the given value of t0. r(t) = (1 + t)i + t3j, t0 = 1 r'(t0) =

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Q: Find the characteristic equation, the eigenvalues, and bases for the eigenspaces of the following…

A: I am attaching image so that you understand each and every step.

Q: 28 Find nd [² [ 2h f f(4x)dx if f(x)dx = 5. 16 Enter the exact answer. [fe f(4x)dx =

A: Given :∫1628f(x)dx=5

Q: Work Problem 2 [ 31 (a)[3 Find a vector equation and parametric equations for the line that passes…

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Q: Find the radius of convergence and the interval of convergence. xk k(k + 5) Radius of convergence:…

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Q: 17. Assume that f'(x) = (x - 1)(x - 2)²(x-3)³. (a) Find the interval(s) on which is increasing. (b)…

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Q: The figure shows the graph of the derivative f' of a function f. Find the critical points of f and…

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Q: Determine whether the set, together with the indicated operations, is a vector space. If it is not,…

A: We have to choose correct option.

Q: Set e кад dx

A: To solve the following problem

Q: Find normal line and parallel plane to the function f(x, y, z)=√xyz - 4 At point (1,2,8).

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Q: compound proposition (PnQ)-(PUQ) is a

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Q: xex dx 3. f. (1+x)²

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Q: Matrix A 3 · 12 21₁B = 1₁ -2] · f find AB

A: Since we are given with multiple number of question and our guideline is solve first question only…

Q: B. Solve the following equations for y. Answer two only. i.__8(2y-³) = (-¹)(V-2), 16 e√y = 1² In(y +…

A: We can solve for 'y' .

Q: Drag and drop your answer into the box: (a) An antidervative of f(x) is = 4x4 + 2x² - 5 (b) The…

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Q: Given the bivariate data: X12356 65431 (a) Draw a scatter diagram for the data A - Xy IN² 4 . . -10…

A: We have to calculate the least squares line.

Q: Consider the function f(x)=√/2x-8 for the domain [4, co). Find f(x), where f¹ is the inverse of f.…

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Q: The equation of the plane that passes by P(-1, 2, 1) and that is perpendicular to the line x - 3 1-…

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Q: The resistance R of a copper wire at temperature T = 25 °C is R = 18 22. Estimate the resistance at…

A: Let's solve.

Q: Step 2 Use the following trigonometric substitution. x = tan (0) tan (0) Differentiate with respect…

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Q: Find the arc length of the graph of the function over the given interval. y = In x, [1, 8] Step 1…

A: topic- arc length of a curve

Q: Find r'(t), r(t0), and r'(t0) for the given value of t0. Then sketch the space curve represented by…

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Q: Volume of the function g(x, y)=√64-x² - y² over the semicircle bounded by x² + y² ≤ 64, x≥ 0. 2- -2-…

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Q: Consider the following situation, which involves two options. Determine which option is less…

A: Given: Consider the following situation, which involves two options. Determine which option is less…

Q: Solve the differential equation by variation of parameters, subject to the initial conditions y(0) =…

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Q: Find the points on the graph of the function that are closest to the given point. f(x)=x²-3, (0, -1)…

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Q: A graphing calculator is recommended. Consider the function below. (If an answer does not exist,…

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Q: Use the given triangles to evaluate the expressions. Rationalize all denominators. √√2 A 1 45° 1 5)…

A: We know that cos θ=Adjacent sideHypotenusecos 60=12

Q: Find the derivative of F(y). Select the correct answer. F( y) = sinh y tanh y F' (y) = sinh y sech y…

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Q: xdx

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Q: A = - 1)³² dx - (x - 1)³dx + 5²0x

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. Identify an 00 Since…

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Q: 5) Find the slope using y = (=/3² at 2 First Principle (-3,8)

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Q: Find the equation of the curve that passes through the point (3, 2) if its slope is given by y =…

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Q: The arithmetic sequence bn is defined below. Find b3. b1=-2 D=-4 B3=?

A: The objective of the question is determine the b3 of given arithmetic sequence.