• S/S₂ (² + ₁ · 9 - 5z) dV . E Evaluate E = {(x, y, z) | −2 ≤ y ≤ 0,0 ≤ x ≤ y,0 < z

Q: Use logarithmic differentiation to find the derivative of the function. y = (In(x)) cos(13x) cos…

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Q: Find the area bounded by the parametric curve x = cos(t), y=et, 0≤ t ≤ π/2, and the lines y = 1 and…

A: We need to find area.

Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. Είναι Σ ΟΞΟ…

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Q: Evaluate the indefinite integral. (Remember the constant of integration. Remember to use absolute…

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Q: Determine if the following series is convergent or divergent. If the series is convergent, find the…

A: NOTE: Refresh your page if you can't see any equations. . the given sequence is

Q: x² 2 √25-4x² dx

A: The given integral is:I=∫x225-4x2dx

Q: Which integral would represent the area shown? 14 12+ 10+ 8+ 6- 4 2 LY 0 0.5 1 1.5 2 2.5 3 X

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Q: Choose the graph that matches the vector equation. r(t)=ti+tj+ tk, 0sts2 Choose the correct answer…

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Q: 2. In (y(x) + x) = y(x) 1 y (x) + X y! x+y 2 y' "' [ + y -!]. x ty A а y" y' = y" = [y' + 1] = y ₁₁…

A: The function is given by

Q: The expression 4x +9 16x2-81 K O True simplifies to 1 4x +9 where x- 44 9 9 O False

A: Let, f=4x+916x2-81 f=4x+94x2-92 f=4x+94x+94x-9 f=14x-9≠14x+9

Q: Use an appropriate coordinate system to find the volume of the given solid. The region inside z =…

A: The region z=5x2+5y2 and between z=4 and z=12

Q: The function f(x) = (1-3x)² f(x) = Σ cna". n 0 6 is represented as a power series

A: We know that the power series formula 1/(1-x)=sum_(n=0^infinity) x^n

Q: Graph the equation. Include the coordinates of any local and absolute extreme points and inf 11)…

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Q: Given that f(x) = 4x2 and g(x) = 6 - x², calculate (a) f(g(0))- (b) g(f(0))-

A: The composition of the function f(x) and g(x) are: f(g(x)) and g(f(x))

Q: 88. S x² dx .3 x³ + 2

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Q: What is the integral of f(x) within the interval [2, 5]? 6 21 N 2 6

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Q: Evaluate the indefinite integral: [ (8e¹ + 4 sec² u) du = FI + C.

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Q: particle is moving with the given data. Find the position of the particle, s(t). a(t) = 2t + 9, s(0)…

A: We have acceleration function. To find the position function, we need to integrate the acceleration…

Q: You are given the parametric equations (a) Use calculus to find the Cartesian coordinates of the…

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Q: Find dy for the given values of x and Ax. 3x - 5 X+1 y = ; x = 3, Ax= -0.07 SHOE AAN www

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Q: Question 7 (1 point) Solve the equation log(x)+log(x+15)-2=0

A: logx+log(x+15)-2=0

Q: Show that the differential form in the integral is exact. Then evaluate the integral. (1,2,3) "]_…

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Q: Which of the following complex numbers is a pure imaginary number? 7 O O √5 6-2/ O√-3

A: a)7=real b) 6-2i=Real + imaginary

Q: Find the LCD: S 3x x² + 8x + 15 x² + 3x-10 O (x+3)(x-1) O (x-3)(x+1) O (x-3)(x-2)(x+5) O…

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Q: A. Calculate Jovit 1+ 3x2 - 4y ds where C is the curve x = t, y = t²/2, 0≤ t ≤ 2.

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: x² √√√25-4x² dx

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Q: Does the sequence converge or diverge? Give a reason for your answer. Select the correct answer…

A: The given sequence is an=1-1n. We have to find the convergence and the limit of the sequence.

Q: Can someone help me answer this question please

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Q: The force exerted by an electric charge at the origin on a charged particle at the point (x, y, z)…

A: r→=&lt;x,y,z&gt; and K=20r→3=(x2+y2+z2)32

Q: The curve given by y = sin(t + sin(t)) has two tangent lines at the point (x, y) = (0, 0). List both…

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Q: Use the graph of the line to find the x-intercept, y-intercept, and slope. Write the slope-intercept…

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Q: a. Solve the system u = 3x+4y, v=x+ 5y for x and y in terms of u and v. Then find the value of the…

A: NOTE: Refresh your page if you can't see any equations. Please rate the answer! . another equation…

Q: Compute the volume of the solid bounded by the graph z = x² + y, the rectangle R = [0, 1] × [1, 5],…

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Q: For what value of x does the function g(x) A. x2 -1 C. x ≥-2 3x³ - 2x² concave downward? B. x ≥ 0 D.…

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Q: Find the exact value of each expression, if it is defined. (If an answer is undefined, enter…

A: a) cos^-1(0) b) sin^-1(0) c) sin^-1(-1/2)   we have to find -                       there exact…

Q: [(x + y)ds Evaluate (x+y)ds where C is the straight-line segment x = 3t, y = (6-3t), z = 0 from…

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Q: Solve the initial value problem, and graph the solution function x(t). x' + 8x' + 16x= 1+S(t-5);…

A: First we have to solve given initial problemx''+8x'+16x=1+δ(t-5);       x(0)=x'(0)=0

Q: Find the integration factor of (3 xy +64²) dx + (2x²gxy) dy zo

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Q: The function f(x) = log16(x) is the logarithm function with base So f(16) = , f(1) = f(256)= , and…

A: f(x)=log16xfprmula of log function (i)  logaa=1(ii) logxn=nlogx(iii) log1=0

Q: Which integral would represent the area shown? 8 6 4- 2- 0 Y 0.5 1 15 2 2.5 3 X

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Q: Find the Taylor series representation of f(x) = ln x at a = 1. Write your answer in summation form.

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Q: Determine el siguie cos(x) - e* 1-e* lim X-0

A: The given limit is limx→0cosx-ex1-ex. We have to find this limit.

Q: 3. Find the image of the domain outside the unit circle |=1 on the upper half plane, under the…

A: We need to find image of the domain.

Q: Given x = sin 7t and y dy/dx = d²y/dx² = = cos 7t, find the following derivatives as functions of t.

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Q: Use the graphs to evaluate the expressions below. 6+ 6 f(x) 5 16 A 3 2 1 1 2 3 f(g(2)) = _g(f(3)) =…

A: Given 2 graphs , need to find the values of the composite function using the graphs.

Q: an observer at the top of a 482 ft cliff measures the angle of depression from the top of the cliff…

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Q: A company estimates that the marginal cost (in dollars per item) of producing x items is 1.84…

A: The marginal cost (in dollars per item) of producing x items is given by, C'x=1.84-0.002x It has…

Q: Solve the initial value problem, given that y₁ satisfies the complementary equation (x + 1)² y" -…

A: .

Q: Evaluate [yds, C: x=ť²₁ y | ds, C : x = t², y=t, −3 ≤t≤6

A: ∫Cy ds C: x=t2, y=t, -3≤t≤6  To evaluate the integral.

Q: Let/ be the continuous function defined on x € (-1,8] whose graph, consisting of two line segments,…

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