Find the angle 9 between the vectors in radians and in degrees. (Round your answer for part (a) to three decimal u = 4i + j, v = -3i + 5j (a) radians (b) degrees

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A: Let's find dimension of rectangle for largest area.

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A: The indicated function y1x is a solution of the given differential equation.By using the reduction…

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

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A: We can solve this as follows:

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A: x=ρ.sinϕ.cosθy=ρ.sinϕ.sinθz=ρ.cosϕ

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Q: The graph of the function f(x) is M Given the differential equation a' (t) f(x(t)). List the…

A: The equilibrium points are the points where the curve touches or crosses the horizontal axis.   So,…

Q: 2. Integrate: x² In x dx a. Inx+c b. [(In x)² ++ c c.[(Inx)² - Inx++c d. none of these

A: To evaluate: ∫x2ln x dx

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Q: 6. у” – 5y' + бу = 0 I

A: We have to find the general solution of differential equation

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A: Solve the following

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A: Explanation of the answer is as follows

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Q: Use the following graph of y = f(x) to graph each function g. A -1 3 4 (a) g(x) = f(x) - 1 (b) g(x)…

A: We know that, g(x)= f(-x) is reflection across y-axis. g(x)= -f(x) is reflection across x-axis.…

Q: Find the area enclosed by the two polar graphs: 1 = 3 and r2 = 6 sin 0. ³/2 (2πT + 2π + 3√/3) A) 3…

A: To find the area enclosed by the polar graphs: r1=3 and r2=6 sin θ.

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Q: Find the volume of the parallelepiped determined by the vectors a, b, and c. a = (1, 3, 3), b = (-1,…

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Q: Find all the polar coordinates of the point: (9,7).

A: Our Aim is to find the polar coordinates of the point 9, π4.Solution⇒Since, we know that the polar…

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Q: logists estimate the reproduction curve for swordfish in a fishing ground to be f(p) = -0.01p2 + 7p,…

A: Using double derivative test

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Q: 1²e¹dV where E is bounded by the parabolic cy E

A: the answer is give in step2

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Q: 4xdx 0 VỊ-x^ fo

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Q: Jo (ye* - Inyx) dx

A: The given integral: ∫yex-lnyxdxWe need to evaluate the integral.

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Q: Find the gradient of the function at the given point. g(x, y) = 6xe/x, (17, 0) Vg(17,0) =

A: Given problem:- find the gradient of the function at point (17,0) of g(x,y)=6xey/x

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Q: Complete the missing ones: (those highlighted ones) Integrate: [ tan5 3x sec6 3x dx [ tan³ 3x sec 3x…

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Q: Proceed as in Example 6 in Section 2.3 to solve the given initial-value problem. dy - + y = f(x),…

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Q: 4. A rectangular sheet of metal with dimensions 20 cm by 15 cm is to be used to create an open top…

A: According to given, Height of the box(h)= x Length of the box(l)= 20-2x Width of the box(b)= 15-2x…

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A: We need to solve D.E.

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A: Here we have to use the concept of integration

Q: The given family of functions is the general solution of the differential equation on the indicated…

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