Question 9 of 20 K View Policies Current Attempt in Progress Find the discontinuities, if any. f(x) sin(x² 16) y

Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s).…

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Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) = 3 + 6x3/2…

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Q: 8. Convert the angle 315° into radians.

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Q: Name the type of basic curve that the following pair of equations represents: x = 2 cos(3t), y =…

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Q: Find the equation of the tangent line to the curve y = 6x cos x at the point (7, The equation of…

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Q: The graph below is the function f(x) -3 -2 Find lim 4 3 2 01 tro Find lim I→ 1- er 45 Find lim 2-1+…

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Q: 1. Given x = y² + yt! X y²+ y +ı from osy≤2 Which of the following expression gives the arc length…

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Q: What is the area of the region between the lines y = 6x and y = 3x from x = 1 to x = 5? Select one:…

A: Answer: the solution is as shown below:

Q: Show that the function has removable discontinuity at the origin sin 2x 2x f(x) = 1 if x = 0 if x =…

A: Given that a function f(x) and we show that the function has removable discontinuity at the origin .…

Q: What is the antiderative of xysin((x^2)y)?

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Q: Find the general solution of the differential equation. y(4) + 6y" + 9y = 0. NOTE: Use C₁, C2, C3,…

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Q: Let →r(t)=⟨2t−3,5e^−2t,−2e^2t⟩ Find the line (L) tangent to →r(t)r→(t) t=-3.

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Q: b) Find the derivative f'(x) in the following cases. 5x+1 1. f(x) = 2x-1. 2. f(x) = 3. f(x) = csc x…

A: We will find the derivative of given function as shown below

Q: Find g'(3) given that f(3) = -4 and f'(3) = 2. g(x) = 3x² - 5f(x) g'(3) = i eTextbook and Media 2x +…

A: Given :f3=-4f'3=2gx=3x2-5fxgx=2x+1fx

Q: 1. Evaluate the following. Express all final answers in rectangular form. A = ³√√cos[ln(-1)]

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Q: (ii) Find all values of k for which the integral fo (+)da converges and evaluate the integral at…

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Q: ii) Find the exact area of the surface obtained by rotating the curve y = x³ + 1 ≤ x ≤ 2, 1 3 12x 9

A: Use Area of surface  formula.

Q: slope

A: Please refer to the image below

Q: Find all solutions of the equation in the interval [0,2π) (hint: isolate the trig function then draw…

A: Given, tan^2(x)−3=0

Q: Write a proof to justify the perpendicular bisector method of construction. A B Given: Prove: AB AC…

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Q: A movie theater charges $8.00 for adults and $5.00 for children. If there were 40 people altogether…

A: See this solution in below

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. J tan6(9x)…

A: The objective of the question is evaluate the indefinite integral with substitution method.

Q: Suppose the function y=h(x) is nonnegative and continuous on [x3], which implies that the area…

A: We want to find area bound by the astroid

Q: Solving Differential Equation by Laplace Transform Solve the following initial value problems using…

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Q: D) 5

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Q: ∞ ΣΕ - (x – 6)η n(5)n

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Q: There are 11 identical circles drawn on a sheet of paper. How many ways are there to do each of the…

A: This is a permutation and combinations problem

Q: (a) Find the critical numbers of the function f(x) = x(x - 1)5. X = (smallest value) X = X = (b)…

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

Q: If v=4i -Ĵ+3k and w= -î - 2 + 5k, then find the dot product, .W 11 13 10 11 8

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Q: Without using a calculator, find the distance traveled by a particle with position (x, y) as t…

A: The distance travelled by the particle is the same as the arc length as varies within the interval…

Q: Without using a calculator, sketch the parametric equations by eliminating the parameter. Indicate…

A: The given parametric equation x=4+2cosθ and y=-1+sinθ

Q: Find the general solution of the differential equation: 1. (2x + 3y - 1)dx - 4(x + 1)dy = 0

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Q: D. f(x, y, z) = 1x + 10y + 8z Vf(x,y) =i+j+k E. f(x, y, z) = 1x² +10y² + 8₂² ▼ f(x, y, z) =i+j+k

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Q: Evaluate the limit: lim 2-1 (5x5 - 7x) =

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Q: Match the graph of the above function with the graph of its derivative. 0 ㅇ O 수 +

A: The given graph of the function is the graph of a semi circle. Or positive side of the circle.

Q: Зи lim n- 2n² + 1

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Q: Solve the length of the unknown side. Round each answer to the nearest tenth. 22 in 29 4

A: The given triangle has measures 22, 29 and 45°

Q: Find the critical point and the intervals on which the function is increasing or decreasing and…

A: topic- extrema of a function using first derivative test

Q: Find an equation of the tangent plane to the surface at the given point. x2 + y2 − 4z2 = 21,    (−3,…

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Q: Solve the problem. I ) Suppose the demand for a certain item is given by D(p) = -4p2 + 7p+ 5, where…

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Q: Given x = y² + y + 1 from 0 ≤ y ≤ 2

A: To find the arclength of the following curve

Q: 6. Evaluate 1 x² + y² + x² dV, where E = { (®,g, z) |1< n? +g? +z? <4}.

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Q: 7η + 3η gn Σ΄ n=1

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Q: Consider the following. lim 2x²-3x - 5 x--1 x + 1 Find the limit of the function (if it exists). (If…

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Q: We are given the initial value y(0) = 2. Substituting this value and solving for L{y} gives the…

A: Solution of given question is written in below steps.

Q: Consider the function f(x) = 2x³ + 6x² - 90x+5, -5 ≤ x ≤ 4. This function has an absolute minimum…

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Q: x- /= ² + √²-11 de dx dx x-1 x² + x + 1 3

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Q: Evaluate and Solve for all solutions of x over the domain 0≤x≤ 2π. Use EXACT values IF POSSIBLE. If…

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Q: 1. Explain why there is no solution to sec() and csc(n). You can use graphs and diagrams if you want…

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Q: Evaluate Jx√x²+7dx ○ (x+7) +C 3 ○ (x²+7)³¹² + C O +7x+ C O 3(x+7) +

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