125 and y = 10. y? y = x, x =

Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(7,…

A: To find the directional derivative of the function at P in the direction of v.hx, y, z=xyz, P7, 2,…

Q: Evaluate the line integral / (2x + 7y)dx + (4x – 6y)dy along the curve C: = 6 cos t, y = 12 sin t…

A: Let's find.

Q: Find the area of the region bounded by the graphs of f (x) = x³ and g (x) = x. (A) 1 c) 0.5 3.

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Q: 9. lim x→1 х — 1 x2 + 7x Give your answer in exact form. If the limit does not exist, enter DNE. 1 9…

A: Solve the following

Q: 3. dy Find if y 2xy - x: dx = cos X using implicit differentiat

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Q: 1. F'(x) = 2x ; F(1) = 2 2. F'(x) = 4x +1; F(2) = 6 3. F'(x) = 3x² + 2 ; F(-3) = -32 4. F'(x) = 4x³…

A: Apply integration both side with respect to x

Q: 0, 1, 2, 3, and 4 about x = xo Find the Taylor polynomials of orders n = and then find the nth…

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Q: In every sphere of radius r it is true that its volume V is given by V =ar³ , A snowball is melting…

A: volume of snowball (sphere);V=43πr3differentiating w.r.t. time t;dVdt=-4π3(3r2) drdtdVdt=-4πr2…

Q: Evaluate (2x – y) dx + (x + 6y) dy. C: x-axis from x = 0 to x = 9

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Q: Find the domain of r(t) and the value of r(to). | NOTE: Round your answer to two decimal places when…

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Q: Find the exact sülution fur ylz Xtzy

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Q: Find the area of the region inside the circle r = 30 sin 0 and outside the cardioid r = 10 + 10 sin…

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Q: If tan 0 = - n<0< , find the exact value of each of the following. 2 이 (a) sin (20) (b) cos (20) (c)…

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Q: Question 11 /4-x² c 3-x²-y² STS xdz dy dx Evaluate the iterated integral. J. J. -5+x²+y? 0, A)…

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Q: A spring whose natural length is 14cm exerts a force of 33N when stretched to a length of 19cm. (a)…

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Q: 4. Under the usual addition 47Z/2021Z .

A: A detailed solution is given below.

Q: The time of oscillation, 1, of a pen- dulum is given by t 27 1. wherel is the length %3D of the…

A: Write this equation in standard form then diffrenciate.

Q: Use a double integral to find the volume of the region under the graph of f(x, y) = xy and above the…

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w…

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Q: 4 | (10 + 4x – 3*) dæ 2

A: ∫2410+4x-3x3dxWe kow…

Q: - x)dx 1 X 2 х +x+1

A:

Q: please

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Q: If f is continuous at a number, x, then f is differentiable at x. True

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Q: Evaluate (2x - y) dx + (x + 8y) dy. C: x-axis from x = 0 to x = 3

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Q: dy 18. Given y = 5t ( 3 - t), t = In p and p = e*. Find and simplify %3D dx

A: Given: y=5t3-t, t=lnp, p=ex   As we know from the chain rule; dydx=dydt·dtdp·dpdx    .....(1)   The…

Q: Use a triple integral to find the volume of the solid in the first octant bounded by the coordinate…

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Q: Suppose the Sunglasses Hut Company has a profit function given by P(q) = – 0.02q + 5q 38 where q is…

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Q: 2 Find the Inverse Laplace transform f(t) if given the Laplace Transform function 1 F(s) = using…

A: Use partial fraction

Q: Find the arc length of the graph of r(t) = eV2t¡ + e-V2tj+ 2tk, 0<ts V2 In 7 NOTE: Enter the exact…

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Q: 2. Write the given (total) area as an integral! a. The area above the x - axis and below y = 4 -x2 T…

A: Area between the curve  y=f(x) and x-axis is defined as ∫abf(x)dx where a, b are point of the…

Q: В. 5. We let y(t) be the position function. What is the position function? A. p(t) = - 16t2 - 100 t…

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Q: 4 – X - 2 2 sin(x) |dx V 1 + x

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Q: test the converg ence and divergence 27-1 2. (2h-1):

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Q: Find the relative maximum and minimum values and the saddle points. f(x.y) = 242y +x -xy

A: Using D=rt-s^2 If D &gt;0 and r&gt;0 then relative minima and r &lt;0 then relative maxima  And at…

Q: Matching Match the equation of each plane to its scalar form. x-y-2z+4 = 0 y = 2 E y-z-6 = 0 A D…

A: As per bartleby guidelines we only give first three question answers.

Q: Find the curvature and the radius of curvature at the point t = 0. %3D = e' cos(t), y = e' sin(t), z…

A: Given

Q: Write an expression for the nth term of the geometric sequence. Then find the indicated term. a, =…

A: topic- geometric sequence

Q: Use spherical coordinates to find the volume of the solid. The solid enclosed by the sphere X y² +…

A: We have to find the volume of the solid.

Q: first octant 2 4- x+y dy dx -

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Q: Find the exact arc length of the curve over the stated interval. y = 8x2/3, from x = 1 to x = 8…

A: The expression for the arc length of the curve is: L=∫x1x21+dydx2dx   Given; y=8x23x1=1 &amp; x2=8

Q: 1. Set up the following improper integrals by definition. sin(x) dx 22 — За — 4 а. xe dx с. 4 et b.…

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Q: f(x)= 2cos (x) − 6sec (x)+3 =

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Q: Find the equation of the line perpendicular to through (7, 2) through (-1,7/2) through (1/3, 13)…

A: The line perpendicular toa) 2y-3x=1 through 7,2b) 9x+15y+6=0 through -1,72c) x+y=1 through 13,13…

Q: Find the values of c guaranteed by the Mean Value Theorem (MVT) for f(x) 1 ax +7 over the interval…

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Q: Find the relative maximum and minimum values. f(xy) = e 6x2 + 4y2 + 8

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Q: Use Green's Theorem to evaluate the line integral. | 2xy dx + (x + y) dy C: boundary of the region…

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Q: Find the area of the region using a double integral. The region bounded by y = 2x, x + y = 3, and…

A: To find the area of the region bounded by the given curves.

Q: Find the directed distance from the given line to the given point. (-1, 6) (5, 4) (10, 8) (1, 2)…

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Q: Compute the derivative y dy dx y = 7x3 – x-4 (Express numbers in exact form. Use symbolic notation…

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Q: Use the properties of the derivative to find the following. r(t) = ti + 4tj + t?k, u(t) = 4ti + t²j…

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