S*r(sin³x cos x + sin x cos x) dx -- 4 Ja sin 50 de

Q: Find the particular solution determined by the given condition. F(x) = 3x2 - 2x; f(O) = 9 %3D %3D O…

A: Given query is to find the solution of the differential equation.

Q: 1. The resultant of two forces has a magnitude of 55 N in the southeast direction. What is the…

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Q: Find dy/dx. x = Vt y = 9-t %3D dy dx

A: The objective of the question is find dy/dx.

Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

A: Solution: C′(x)=3x2 −5x​; C(0)=2,000

Q: dx Solve the separable differential equation dt and find the particular solution satisfying the…

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…

A: A detailed solution is given below

Q: dx (r-1)%

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Q: Use the Divergence Theorem to compute the net outward flux of the field F = (4x, y, - 2z) across the…

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Q: Question 6 Determine the derivative, y': y = log, (In a?) %3D Oy = z In 5 In a Oy = = z In 5 In z Oy…

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Q: If g(x) is differentiable at the point x and f(x) is differentiable at the point g(x), then f{g(x)}…

A: If g(x) is differentiable at the point x and f(x) is differentiable at the point g(x), then f{g(x)}…

Q: Find dy/dx. x = Vt y = 9-t dy dx

A: Here, x=t3y=9-t

Q: Determine whether the infinite geometric series is convergent or divergent. If it is convergent,…

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Q: Plot the points with polar coordinates -5, and 4, using the pencil. 11a 6. 4. 4T 3 如不

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Q: V = f(x, y) = x²y ,x(t) = 2.

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Q: 6. An airplane is flying at 800 km on a bearing of [N 20° W] from Toronto to Sault St. M Then from…

A: We have to draw vector diagram and find displacement.

Q: Find the volume of the solid obtained by rotating about the x-axis the region under the curve y=…

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Q: Find the cost function if the marginal cost function is given by C'(x) = x3 +4 and 27 units cost…

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Q: ||r(t) × r"(t)|| Use the formula k(t) to find k(t). r(t) = ellti+etj K(t) ||

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Q: Find the total income produced by a continuous income stream in the first 5 years if the rate of…

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Q: dx 3-x

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Q: A spring with a natural length of 10 cm, is stretched by ½ cm by a 12 N force. Find the work done in…

A: Given query is to find the work done .

Q: ind r'(t), r"(t), r'(t) · r"(t), and r'(t) × r"(t). r(t) 클리 - 5j + 6 (a) r'(t) (b) r"(t) (c) r'(t) ·…

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Q: 1. Use the right hand rule to determine which of the following vectors ( î, -î, ĵ, -ĵ, k, –k ) would…

A: According to Bartleby guidelines, we are supposed to do only one question. If you want more to be…

Q: Evaluate the definite integral

A: Evaluate the definite integral .

Q: The astroid curve below is defined by the parametric equations x(t) = 2 cos' t, y(t) =2sin't.…

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Q: Find V· (V × F) if F(x, y, z) = 9 sin xi + 5 cos(2x – 3y)j+ 7zk. - V·(V × F) %3D

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Q: Evaluate the following definite integrals. 3. If f(x) = V19+f dt ,find f'(3).

A: We can solve as follows

Q: Find the eigenvalues of the matrix and determine whether there is a sufficient number to guarantee…

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Q: Solve the system of differential equations x' 60x + 126y l y' = 28x + 59y - x(0) = – 31, y(0) = – 14…

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Q: Differentiate. 9. y e 10. y- e

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Q: y = 4e2x + xe2x; y" - 2y' + 1 = 0. Yes O No

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Q: 2 Write down the time measurements on the following correct to the nearest second gue stop b. C. 60…

A: Stop watch

Q: coso de by trigonometric substitution.

A: answer is in next step

Q: Find fy (-1,-4,-2) if f(x, y, z) = x³ z4 + 2xy – y? z + 1.

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Q: Determine the area of the region between the x-axis and the graph of the curv -1 from x- 0 to x- 4.…

A: Area bounded by curves :   If f(x) and g(x) are two continuous function on a,b and f(x)≥g(x) on a,b…

Q: Find div F and curl F if F(r, y, z) = 13y"2°i – 11a2°j – 7xy°k. div F= curl F=

A: We have to find the  divF and curl F

Q: dr 2 Vr*+3

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Q: Evaluate the following definite integrals. år 5.

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Q: 2. A turns 100 RPM and B 150 RPM as shown; they are connected by rolling cones. Calculate the cone…

A: Solution: wa = 100 rpm wb = 150 rpm

Q: 1 The partial derivative of f(x, y, z) = Arctan with respect to z is xy? z³

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Q: Q2: You have the matrix How can we get the transpose matrix

A: Given problem:-

Q: Q4) Find the turning points and the local maximum and local minimum of the given function x 5 y =…

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Q: Solve the differential equation for general solution y' = 2x - xy; y = 5 when x = 0 %3D O y =…

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Q: Y – C(Y)-I(i)–G, =0 kY +L(i)– M20 =0 %3D

A: answer is in next step

Q: 5. Determine the following limits. If infinite, specify ∞ or -o. If an answer does not exist,…

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Q: 4. By implicit differentiation , find the 1st derivative of x3 + y3 + 6xy = 0

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Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent. Show…

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Q: (- 1)"(x + 1)" n! Consider the series E n=0 (a) Find the series' radius and interval of convergence.…

A: We will use Ratio Test for convergence

Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. 4 y…

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Q: Evaluate the integral by making the appropriate substitution: u = NOTE: Your answer should be in…

A: On solving this we will get:-