3. I. -1 2 Evaluate each determinant. 5 3

Q: DIFFERENTIAL EQUATIONS (Please answer ASAP. Solutions only. No long explanation needed. Rate will be…

A: To solve the differential equation.

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A:

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A: We have to find velocity

Q: 10 What is the 6th term of (x − 1)¹⁰-

A: Please refer to the image below

Q: 1/2 x3 1-x4 1/2 √3 - 2/2 √2/560 16 Option 1 1/11 Option 3 1 15 2 16 dx 1 Option 2 Option 4 15 8 √15…

A: Given, ∫012x31-x4dx

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Q: dr 2√x+3+x d. ·S e. dx x√4x + 1 SIV f. dr x√4x²+1

A: These questions can be solved using integration by substitution.

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A: ∫sec2u du = tan(u)+C

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A:

Q: Show that if u + vand ủ – v are orthogonal, then the vectors u and must have the same length

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Q: In spherical coordinates, the equation below describes what? O a plane O a cone O a sphere O a…

A: topic- spherical coordinate system

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Q: Find the linearization of the function f (x) 1 9x+8 at = -1. L(x) = -9x-10 si Find the true values…

A: This question can be solved using the concept of linearization of function.

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Q: 3* - 128 12/8 256 (Sin 2x) + 1024 (sin 4x) - Sin³2x 1900 320 0

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Q: 2. Evaluate da da d. Java [. 2 / + 3 + a r/Mr | 1 | dr ar/rº +1

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Q: 4. Find an equation for the plane through (1, 3, 4), (2, 2, 3), and (3, 2, 1).

A: Given problem:- 4. Find an equation for the plane through (1, 3, 4), (2, 2, 3), and (3, 2, 1).

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Q: 8. Evaluate 9. Evaluate 10. Evaluate cot²x dx (sin x + x) dx cosx J dx sin² x

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Q: of 14 that Suppose newly-baked cupcakes are taken out of the oven which is set at 100 degrees. Room…

A: We will use Newton's law of cooling to solve this question.

Q: Express the vector v with initial point P and terminal point Q in component form. P(3, 3), Q(5, 5)

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Q: Find all local maxima, local minima, and saddle points (if any) of the following function. If these…

A: A detailed solution is given below.

Q: 2. Determine whether the vectors a and b are parallel, orthogonal or neither for the given a and b.…

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Q: no working required just final ans

A: To solve the following problem

Q: 4) Use Green's Theorem to evaluate f √1+x³dx + 2xydy. C is the triangle with vertices (0,0), (1,0),…

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Q: Use the surface integral in Stokes' Theorem to calculate the circulation of the field F = x²i+…

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Q: Find the volume of the region enclosed by z = 1 - y² and z = y² - 1 for 0 < x < 42. V =

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Q: eiz 41. e

A: Find power series.

Q: f. √₁²√x (x − 2x² + 1) dx -

A:

Q: 3. Find the cross product u X v when u = and v = .

A: Here we have to find the cross product of two vector.

Q: Convert the Cartesian coordinate (-4,-2) to polar coordinates, 0≤ 0 < 2π r= 2√5 Enter exact value. 0…

A: We need to find polar coordinates.

Q: COLUMN A 17. To each person on the earth assign the number which corresponds to his age. 18. To each…

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: Find the solution of the given initial value problem. 9 cos t y' y = y(π) = 0, t-9, t> 0 y(t) = =

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Q: Convert the Cartesian coordinate (6,2) to polar coordinates, 0 ≤ 0 < 2π r= 2√10 Enter exact value.…

A: Given:    Coordinate : ( 6 , 2 )       0 ≤ θ &lt; 2π

Q: Let f(x) = 3 cos 2x + sin² x. a) b) Show that f'(x) = -5 sin 2x. Зл In the interval <x< one normal…

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Q: USING WASHER METHOD Find the volume of the solid obtained by rotating about the y-axis the region…

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A: I have just use the methods and easily find the all solutions. Main solutions are in the boxes.

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A: A detailed solution is given below.

Q: What is the 6th term of (x - 1)¹0?

A: Given problem:- what is the 6th term of (x-1)10

Q: 6) Approximate √²³|x² −1|dx with a right-endpoint Riemann sum using four equal subintervals.

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find the missing value that makes the following a factorable trinomial. Explain the process you used…

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Q: Using the substitution u = x - 1, we get the following. (Remember to use absolute values where…

A: ∫1x-1dx=∫1udu                 =logu+c ∫1x-1dx=log(x-1)+C

Q: Find the general Solution of the following PDES Du -5X -3x = 2 +4, исx; c) = 32 + 2e du ду 3e Dx…

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Q: VII. - ) Let C be the curve consisting of the line segment from (0,0) to (2,0), the the portion of…

A: Given that a curve consisting a line segment from (0,0) to (2,0) and a portion of circle from (2,0)…

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Q: State what the Divergence Theorem says, using your own words. You may assume that E is a solid in R³…

A: We state Divergence Theorem and explain it.

Q: The surface parametrized by 7(u, v) = (u, v, u - 2v) is a plane O a hyperboloid a cone a cylinder

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Q: F=x²y³z¹i-xyzj+(x+y+z)k

A: The vector field is F→=x2y3z4i^-xyzj^+(x+y+z)k^

Q: Convert r= 2 7 sin 9-cos 0 to rectangular form. Enter your answer in slope-intercept form by filling…

A: The given equation:r=27sinθ-cosθ.We need to convert it into rectangular form.