Evaluate that the integrals;

Q: Rewrite the following numbers in its polar form rei(theta) where 0≤θ<2π). Give exact answers only…

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Q: -6 -5 -4 -8 -2 b = 16 14 C = my by my d = 2 1 The plot above is created with the parametric…

A: From the graph we can see that in horizontal direction the maximum value is 3 so, a=3. From the…

Q: Evaluate the integral. S₁³ (5+1°) 8 dt 8 Coc 28

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Q: 1 5)Test for Convergence: '[ln(n)]²n n=3

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Q: 9 Find the lateral (side) surface area of the cone generated by revolving the line segment yx,0sxs…

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Q: Which of the following statement(s) is/are true? bk I: Ifbrak converges, then k=1 8 8 1 : 1 Σακς Συκ…

A: When we get the finite sum of the series then the series is convergent. Another way we can say that…

Q: 4 X Find f'(-2) if f(x) = 5 - 4x. f'(-2)= (Simplify your answer. Type an integer or a fraction.)

A: given,  f(x)=x45-4x

Q: Assume that y is directly proportional to x. Use the given x-value and y-value to find a linear mo…

A: given y is directly proportional to x.given x=2,y=58

Q: Find an equation for the line tangent to the curve at the point defined by the given value of t.…

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Q: Assuming that the equation defines x and y implicitly as differentiable functions x = f(t), y =…

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Q: 1 Find the area of the surface generated by revolving the curvex=cos (4t). y = 5+ sin (4t) on Osts…

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Q: Consider the function f(x) = 12x5 + 15x¹ — 240x³ + 5. f(x) has inflection points at (reading from…

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Q: x³ - 16x² - 2x + 5 x³ - x

A: Given

Q: Find the indefinite integral and check the result by differentiating. S(3x+10)*(3)dx [(3x +…

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Q: Find the area under one arch of the cycloid. x = 2a(t- sint), y = 2a(1- cost)

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Q: 21. Please express sin(t³) dx as a limit of right regular Riemann sums. a. Ax= b. Xk =

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Q: Find all solutions of the equation in the interval [0°, 360°). (Enter your answers from smallest to…

A: To solve the following

Q: Estimate the area under the graph of f(x) = 1/x on [1, 3] using a four rectangle left endpoint…

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Q: [11-12 4 2. Let A 14 6 [12 107 10 12 B= -5 12 be two matrices. Find AB. -2 9 15 16 2.

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Q: Evaluate f zy²³ cy²dx + x³dy, where C' is the rectangle with vertices (0,0), (1,0), (1,2), and (0,2)…

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Q: Suppose that f(x, y) = xy. The directional derivative of f(x, y) in the directional and at the…

A: f(x,y)=xy  then find the directional derivative .

Q: The supply function for a product is given by p = q +340, and the demand is given by p + q = 450.…

A: p=q2+340 .......(i) p+q=450 p=450-q ........(ii)

Q: lute and conditional convergence Determin ies converge absolutely or conditionally, or c 3 1 3 k 46.…

A: We have to find whether the series given in (49) is absolutely convergent , conditionally convergent…

Q: s) Let f(x) = ³√x. (a) Use linear approximation at x = 1 to approximate f(0.6)= 30.6. The Linear…

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Q: Find the surface area of the part of the plane z7+ 4+ 5y that lies inside the cylinder 16 Calculator

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Q: In(x) 8x

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Q: A)    cos2theta - cos theta= 0 B)    Solve for x  2ex-1 = 14

A: Given equation  A) cos2θ - cosθ = 0

Q: A company charting its profits notices that the relationship between the number of units sold, x,…

A: A company charting its profits notices that the relationship between the number  of units sold, x,…

Q: -)Test for Convergence:7n¹⁹ +797n³ −104n² 8n22 n=1

A: ∑n=1∞7n19+797n8-104n28n22

Q: Find the equation of the hyperbola with major axis endpoints at (3, 2) and (3, 4), and having one of…

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Q: Find an equation for the line tangent to the curve at the point defined by the given value of t.…

A: x=6t, y=sqrt(t), t=1/25.

Q: corporation manufactures candles at two locations. The cost of producing x₁ units at location 1 is…

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Q: Use the functions given by f(x) = 53√x - 1 O 1253√x - 1 53√√x + 1 O 1253√√x + 1 05√√x + 1 ○ 1 125 x…

A: given  f(x)=1125x-1given  g(x)=x3

Q: (3) Solve the following inequality and express the solution in interval notation. (SHOW YOUR WORK):…

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Q: 10.y" + 2y' +10y = -6e-t sin(3t), y(0) = 0, y'(0) = 1

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Q: y" - 6y' +9y = te³t, y(0) = 0, y'(0) = 5

A: NOTE: Refresh your page if you can't see any equations. . write the auxiliary equation for the…

Q: x(0) = 1+3 sin(0) y (0) = 2 - 4 cos (0)

A: Convert Cartesian equation

Q: 1 1) Find the Taylor Series for - X about a = 1

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Q: Use the ratio test to determine convergence or divergence. If the ratio test is inconclusive, use…

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Q: Find the indefinite integral. 1 √3x + 2dx 1 √3x+2dx=

A: We need to solve indefinite integral.

Q: Consider the vector field F = Evaluate r(t) = t²i+t³j, 0≤ t ≤ 2 LE F-dr along the curve C:

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Q: (7) On the coordinate axes provided, graph the function f(x) = -5 -4 -3 -2 -1 CT 5 4 3 2 1 -1 -2 -3…

A: fx=3-xif x≤1x-1if x&gt;1

Q: A license plate must contain 2numerical digits followed by 3 letters. If the first digit cannot be 0…

A: A license plate must contain 2 numerical digits followed by 3 letters. If the first digit cannot be…

Q: 5п (44) Find the exact value of each of the six trigonometric functions for 0 = 6 sin 5п 6 = CSC xc…

A: Using allied Angle we find all value of trigonometric function. Here 5π6∈(π2,π) In second quadrant…

Q: t 46. Use Property 8 to estimate the value of the integral 1 Cdx dx o 1 + x² 47-48 Fypreco th (2

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Q: Find the curl of the vector field F = curl F = i + j+ 16 k

A: To find the curl of vector F, F→=&lt;yx5,xz6,zy2&gt;

Q: Match each system of equations with the matrix that represents it. (2r-v=7 [2-17

A: We need to match each system of equation with matrix.

Q: practicing  Expand Completly  log squareroot of x^3 / x-1  Evaluate  sin 135              sec…

A: (1)  let  H=logx3x-1

Q: Use the graph of f(x) in the given figure to find the following values, if they exist. (a) f(3) (c)…

A: Graph

Q: What is the minimum cost for the paint? (Round your answer to two decimal places.) 33

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