Find the indicated derivative and simplify. 4t² Int et dy dt for y =

Q: Problem 100. Evaluate the double integral re R is the region bounded by x = 0, y = 2, and y=x. R y…

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Q: Obtain an exponential function in the form f(t) = Aet. HINT [See Example 5.] f(t) is the value after…

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Q: Given the graph of f'(x) below, where the Domf (x) = (-∞, ∞). Find the interval(s) for which f (x)…

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Q: If f(2) = 5 and f ′(x) ≥ 2 for 2 ≤ x ≤ 7, how small can f(7) possibly be? f(7)

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Q: Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check…

A: Suppose that f(x) (here f(n)=an) is a continuous ,  positive and decreasing function on the interval…

Q: e -1-21 (22+3) dz Ans 17+19 ng the path x=2t+1₂ Y = 4t²_t_2 ost

A: I= ∫1-2i3+i(2z+3)dzalong path x =2t+1,y=4t2-t-2z=x+iyz(t)=2t+1+i(4t2-t-2)dz=…

Q: Find the center of mass of the lamina bounded by the graphs of the equations x = 64-y² and x = 0 for…

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Q: The Integral fi fig(z,y) dyda can be written as: 21-9(x,y) dzdy Select one: O True O False

A: We can solve this as follows:

Q: Match the vector-valued function with its graph. O r(u, v) = 2 cos(v) cos(u)i + 2 cos(v) sin(u)j + 2…

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Q: Choose the area of the region enclosed by the curves -6 4x 0 x=0, x=6, y = 4x², y = 4x. 4x2 6 SO SAX…

A: Given.

Q: The value of the integral Select one: a. 3 b. None of these d. / [1² 17/12 2y³ dx dy is

A: Evaluating the definite integral

Q: z² = √√√xe²y-x. Consider the surface described by the equation a Find the equations of the normal…

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Q: Engineers and scientists often use visual or mathematical representations to investigate items that…

A: Given :Engineers and Scientists often use visual or mathematical representations to investigate…

Q: In evaluating 4 S²- 2dx -, is same as evaluating lim cos-¹(f(x))|4. Determine the value of of f(x)…

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Q: 1. Find the gradient of the function f(x, y) = x² sin y y.

A: As per the rules we can answer only the first question and rest can be reposted.

Q: Classify the following diferential equations. Write the order, linearity and the homogeneity of the…

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Q: Find all point(s) on the graph ƒ (x) = √x³ + 5x + 1 that is(are) the closest to the point (5,0). A.…

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Q: Q1 (2 Let R be the region bounded by y = 0, y = x², x = 1. a) Sketch the region R. b) Evaluate the…

A: Here, the region of integration is: y=0, y=x2,x=1

Q: Let R be the region bounded by y = 2x, y = 3 and - x = 0. Sketch the region R and evaluate the…

A: Solution is given below:

Q: Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check…

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Q: Evaluate the integral ¹ f√x xdydx Select one: O -1/10 O None of those

A: ∫01∫0xxdydx=∫01xxdx=25

Q: Sketch the region R of integration and then switch the order of integration for the following…

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Q: Consider the following vector field F(x, y) = Mi + Nj. F(x, y) = x²i + yj (a) Show that F is…

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Q: Use the Laplace transform to solve the given initial-value problem. y + 4yet, y(0) - 2 Step 1 To use…

A: By using the Laplace transform to solve the given initial‐value problem.y'+4y=e3t, y0=2

Q: How many critical points the following function has, h(x, y) = 1 + x³ + x + xy²? Select one: O None…

A: We can find the answer as below.

Q: (c) Use the ratio test to determine whether the series is absolutely convergent, conditionally…

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Q: c²e-2x³ dx [ +C

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Q: Find the constant a such that the function is continuous on the entire real line. 7sin x 0 = g(x) =…

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Q: Let f(x, y) = 2x² + 3y2, then (2, 3) is not a critical point of f(x, y). Select one: True False

A: I have calculated the critical point of the given function

Q: Simplify 8logg(64)

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Q: a) [ : Find the volume of the solid obtained by rotating the region bounded by the lines <<math y =…

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Q: Which one is the set of all critical points of the function f(x, y) = x²y + x² - 9y+1? 2 Select one:…

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Q: The minimum value of the function f(x, y) = x + y subject to constraint x² + y² = 2 is not equal to…

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Q: III-Déterminer la dérivée de : a) f(x) = lnx lnx + 1 III- Determine the derivative of: ex +1 J b)…

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Q: Which of the following is true for the series 3n³ 6n³+1 Select one: O Diverges O Σ n=1 Converges to…

A: A series ∑n=1∞un is said to be divergent if limn→∞un is nonzero. limn→∞1n3=0

Q: a) Determine if the geometric series 8n-1 90+1 n=1 is convergent or not, and find its sum if it is…

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Q: g and concave up on the closed interval [a, b]. The interval [a, b] is partitioned into 4 equal…

A: We will solve.

Q: 14. Determine whether the triangles are similar. If they are, write a similarity statement. Explain…

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Q: 1. Find the critical points of the function f(x, y) = x² + 4xy. 2. Find the local maximum and…

A: As per guidelines we can answer only one question at a time, so if you need more answers kindly…

Q: Evaluate the following iterated integral without technology. π/15 π/15 cos 0 s s II Sp² sin cos…

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Q: Is the equality T ["(" true or false? Select one: O True O False 8r sin 0 dr d0 = 0

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Q: Find c if a=3mi, b=3.5 mi and ∠C=40.2degrees. c=   mi;

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Q: r-Check Library nts adebook Schedule n e Resources e Options Quick Guide unication Tools F Ostly…

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Q: Evaluate the following iterated integral without technology. 642 SSS (-4x+5y+z) dxdydz 000

A: To evaluate the following iterated integral without technology.∫06∫04∫02-4x+5y+z dx dy dz

Q: 2. Differentiate the following: (a) y = x²z

A: The given expression is: y=x2x   ...1   As we know the Product rule: f·g'=f'·g+f·g' The Power Law:…

Q: Obtain the general solution for the following differential equation using Separation of Variables…

A: Using method of seperation of variables

Q: Solve the length of the unknown side. Round each answer to the nearest tenth. 21 La ins 120000 2…

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Q: Given the graph of ƒ' (x) below, where the Dom f (x) = (-∞, ∞). Find the interval(s) for which f"…

A: We have the graph of f'(x) and  we need to tell where f''(x) is &gt;0So, f''(x)&gt;0 when f'(x) is…

Q: True or False If determinant of matrix A is equal to 1, then the transposed matrix of cofactors of…

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Q: Use the Law of Cosines to find the remaining side(s) and angle(s) if possible. (If not possible…

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