What is S₂²1² dx ? 2 1+3x² (tan¯¹ (3√√/3) — tan¯¹ (2√√/3)) ·(tan¯¹ (3) — tan−¹(2)) tan¯¹ (3√√/3) — tan¯¹(2√√3) √3(tan-¹ (3√3) — tan¯¹ (2√√/3))

Q: which value (s) {5,7,9,11,13}make the inequailty w-4<8 true?

A: The inequality is given and we need to solve it.

Q: A lake initially contains 5000 fish. Suppose that in the absence of predators or other causes of…

A: A lake initially contains 5000 fish. Suppose that in the absence of predators or other causes of…

Q: A plane has parametric equations x = 2-s + 3t y = 4 + 3s-t z = -5 + 2t where s, t E R a) Find the…

A: Given equation  x=2-s+3t y=4+3s-t z=-5+2t

Q: . Use a table to find the Taylor Polynomial P;(x) for f(x) = cos(x) with center c = π. A. P(x)= B.…

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Q: For the region bounded by the graphs of the equations, find the volume of the solid generated by…

A: The region bounded by y=sinx ,y=0,x=0,x=π Graph

Q: by identifying the domain and any symmetries, finding the derivatives y' and y'', finding Graph the…

A: We have,   y=x4+256x2

Q: Let Find e such that lim f(t) exists. t 2 The cis f(t) = 4 1 2t t + c for t 2

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Q: 58) Given: f(x) = ax³ + bx² + cx+d, f(1) = 5, ƒ"(-1)=-2, f"(x)=12 When x=0 the slope of the tangent…

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Q: The cost function for manufacturing electric drills is estimated to be: C(x) = 4x²-3x + 484. Where…

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Q: 1. let y = x(x2+x)2  , Find y'   2. let f(x) = (5x)5 find f '(x)…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 1) Consider two planes, y - 3z = 1 and 2x + 2y - 5z = -6. a. Find the line of intersection of the…

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Q: 1. Which of the following is NOT true about how f(x) = sin³¹(−4(x+6)) + 8 compares with its parent…

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Q: Given the function f and the point Q, find all points P on the graph of f such that the line tangent…

A: Given : f(x)=1x+2 ; Q(2,-2)   To find : All points P such that the line is tangent to f &amp; passes…

Q: -5x-2y 2x + y x 2z = -2) = 5 +z = 5 =

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Q: Find following definite integrals: x² 1+r (1) L'a (3) ₁ (x³ arccos x + xe do Jdx (4) (2) # √ ²…

A: Note :  Since you have posted a question with multiple subparts, we will provide the solution only…

Q: Find the critical numbers and any local maximum and minimum points for the function Find exact…

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Q: Approximate the area under each curve over the specified interval by using the indicated number of…

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Q: 1 Is the function given by g(x) = - X+5 continuous over the interval (-3,3)? Why or why not? Select…

A: g(x)= 1/(x+5) We have to find g(x) is continuous or not in (-3,3)

Q: 1. What number exceeds its square by the maximum amount?

A: As you posted multiple questions  I need to solve only first question.  Both questions are…

Q: Find the distance from the point to the line. P(1,9,9); x = 1+8t, y = 9 + 5t, z = 9 The distance is…

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Q: Given one form a line, match it with its equivalent equation in another form. = 0 { y = 1 Z=t 1. 2.…

A: We are given a line in 3d space  x=0 y=1 z=t We are to find the general equation of the given line

Q: Determine whether the lines and intersect. If so, find the point of intersection. r₁(t) = (0, 1, 1)…

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Q: A ball of radius 16 has a round hole of radius 4 drilled through its center. Find the volume of the…

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Q: Find a series expansion centered at x = 0 for M8 Σ • Sf² 2²², n=0 t¹³ sin(t)dt.

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Q: Let f(x) = 2x³ - 3x² - 72x+1. a. Find all points on the graph of f(x) at which the tangent line is…

A: Let fx=2x3-3x2-72x+1 (a) To find all the points on the graph of fx at which the tangent  lines are…

Q: What are the polar coordinates of the rectangular coordinates (-√3, 1)? (4, 11) (2, 11) (4, 5) (2,5)

A: NOTE: Refresh your page if you can't see any equations. . the given rectangular coordinate is, .…

Q: Solve = (x²+6)(y-7), y(0) = 2. dy dx

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Q: Find the distance, d, between the point S(5,3,8) and the plane 4x + 1y + 12 = 4 The distance, d, is

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Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

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Q: The graph of a function f is shown. O O Does f satisfy the hypotheses of the Mean Value Theorem on…

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Q: 2x cos(x²) esin(x²) dx

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Q: 3. Differentiate the following exponential function without simplifying f(x)=√(e*)(2x)

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Q: Solve the following differential equations dy dr² dy -9x+24y=0, y(1)= 1,y(1) = 0 dx

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Q: forin the egral. ayus 4. Perform the line integral for 0 ≤ t ≤ 1. where the cur is the straight me…

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Q: Compute the improper integral 1 x ln(x) -dx if it exists. If not, select DNE.

A: We have to find the improper integral.

Q: f(x) = 5 + 54x − 2x³, [0,4]

A: According to question,Given Function,fx = 5+54x-2x3,In interval 0, 4

Q: 57) Given: f(x) = ax³ + bx² + cx+d, f(2)=5, ƒ"(1)=-4, ƒ"(4)=12 When x = 1 the tangent line to f(x)…

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Q: If you want to earn 7% annual simple interest on an investment, how much should you pay for à note…

A: A = P (1 + rt) Where  A -  Accumulated amount              P -  Principal amount              r -…

Q: Find the plane determined by the intersecting lines. L1 x= -1+2t y=2+t z = 1 - 3t L2 x=1-4s y = 1+2s…

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Q: Evaluate the double integral ∬(x^4)dA, where D is the top half of the disc with center the origin…

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Q: The parametric equations represents a line. Without eliminating the parameter, find the slope of the…

A: Given x = - 6t - 3 &amp; y = 5t + 2

Q: VIII. Find the equation of the plane with the given description. 1. Passing through P = (2,-1, 4), Q…

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Q: Find the indefinite integral. Hint: u = x - 1 implies x = u +1. x(x-1)dx

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Q: The form of the partial fraction decomposition of a rational function is given below. A = B Now…

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Q: Evaluate the integral. π/2 [" os⁹(x) sin5(x) dx

A: NOTE: Refresh your page if you can't see any equations. . use the formula  ................(1)…

Q: Evaluate the integral. (Use C for the constant of integration.) 3 sin(t) dt cos³ (t)

A: NOTE: Refresh your page if you can't see any equations. . ......................(1)

Q: 7. Sketch the region enclosed by the given curves and find its area. y = sin x, y = cos x, x = 0,…

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Q: Let f(x)= - (2.-17). a. Use the following definition of the slope of the tangent line at x = a to…

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Q: Find the antiderivatives. Show any substitutions. [(7x+3) dx

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Q: 5 Set up only $$$ 6xydu where W is the sold asked = By two perabolous 23x² + y² $2=8-x²__y² Sketch…

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