Find u + v, u – v, and 3u 5v. Then sketch each resultant vector. | u = (-4, 1), v = (3, -5) %3D (a) u + v

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = Y, (1, 5, 5) %3D…

A: Given problem:- Find an equation of the tangent plane to the surface at the given point.   f(x, y) =…

Q: Evaluate the double integral over the rectangular region R. | 8xy'dA; R = {(x, y): -1<xs 1, - 8 syS…

A:

Q: Verify Green's Theorem by evaluating both integrals v? dx + x2 dy dA ax for the given path. C:…

A: 9

Q: Find the area of the region(s) enclosed by the curve (x) the x-axis, and the lines x = -1 and X= 2.…

A:

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

A:

Q: 13.3 PARTIAL DERIVATIVES 29-32 Evaluate the indicated partial derivatives. I 29. f(x, y) = 9 – x² –…

A:

Q: Question * Using the Nth term test for divergence 1 2n + 14 n=1 diverges since lim is equal to 1.…

A:

Q: Find a power series for the function, centered at c. 1 h(x) 1 C = 0 8x' h(x) = n = 0 Determine the…

A: We have to find the power series and interval of convergence.

Q: Find the extremum of f(x.y) subject to the given constraint, and state whether it is a maximum or a…

A:

Q: Consider the curve (y2 = 9 +x) that defines y as an implicit function of x. If P (xo, yo) is the…

A:

Q: Find the area bounded byf(x)=x^2-4x-5andy=x+1

A:

Q: Use the arc length formula to find the length of the curve y = 3x – 5, -2sxs 3. Check your answer by…

A:

Q: r = V cos 20 r = 5 cos 0

A:

Q: 3X C-6X)

A:

Q: Find the approximate area under the curve of f (x) = x< +1 from x = 0 to x = 2, using 4…

A:

Q: Use double integration to find the volume of the solid. ... 3x + 2y + 4z = 12

A:

Q: Sketch the region in the plane consisting of points whose polar coordinates satisfy the given…

A:

Q: 1. Find the equation of the tangent line to the curve x = e', y = et att = 1. 2. Find all values of…

A: tangent property

Q: (8) Using Taylor's formula, e" log(1 + is approximately equal to (a) x – xy (b) х — ху + 2 (c) x +…

A:

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

A:

Q: The International Space Station orbits the Earth at a height of 250 miles. What is the height of the…

A:

Q: Find the distance of the centerof gravity of the area on the first quadrant region bounded by the…

A:

Q: Find the arc length in the second quadrant of the curve x23 + y23 2/3 = 9 from x = - 27 to x = – 1.…

A:

Q: V4-x² 3-x²-y² Evaluate the iterated integral. J. x dz dy dx -5+x?+y?

A:

Q: d d Calculate r:(t) · r2(t)] and r:(t) × r2(t)] first by differentiating dt dt the product directly…

A: r1(t)=cos(t)i+sin(t)j+3t kr2(t)=2 i+t k

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: Question The following telescoping series Σ en+1 en+2 - n=1 converges to e - 1

A: The given problem is solved below in detail.

Q: The integral TT tan x sec?x dx O none of them is an impróper integral of type I that diverges is an…

A:

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. yz dx dz dy = -72

A: To evaluate: ∫02∫-72y2∫-48zyz dx dz dy

Q: Find the volume of the solid that results when the shaded region is 7 revolved about the indicated…

A: Use the washer method to find the volume of rotation of the solid.

Q: x* – 1 f. lim x-1 x In x sin 3x g. lim x-0

A: (f). Given: limx→1xx-1xlnx   As we know that; The Chain rule: fgx'=f'gx·g'x

Q: Consider the equation y" + ay' + by = f(x) the constants a and b are real and different from zero,…

A: The given problem is solved below in detail.

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

A:

Q: 3 4. 7 8. PO 723 1225.78 1853 246762942.68 3246.963419.05 3509.59 3555.42 The table is given by…

A: ------------------------------------------------------------- dPdt=Pa-bP1P1-baP·dP=a·dT…

Q: Consider the following planes. 3x + 4y – z - 56 x - 8y + 2z = 0 (a) Find the angle between the two…

A: Find the angle between the two planes..

Q: Sketch the region whose area is represented by the iterated integral. sinx dydx O un in x tan (x/2)…

A: Here is the solution:

Q: Find the length of the curve of the graph of the indicated function. y = (x + 3)3/2, between points…

A:

Q: Use the Laws of Logarithms to rewrite the expression below in a form with no logarithm of a product,…

A:

Q: Evaluate the triple integral. zy sin(yz) dV , where G is the rectangular box defined by the…

A:

Q: For what vaules of x in the interval [0,2π) does the fraph of g(x)= (√3)x+2sinx+7 have a horizontal…

A: For horizontal tangent,first derivative must be zero

Q: Sketch the region of integration. (Select the correct graph.) rIn 6 6 dy dx In y y y 61 6 4 3 2 1 4…

A: Area

Q: Verify Divergence by evaluating F.N ds as a surface integral and as a triple integral. F(x, y, z) =…

A:

Q: Use double integration to find the volume of the solid bounded by the paraboloid z = 9x2 + y?, below…

A:

Q: Use Lagrange multipliers to find the maximum and minimum values of ƒ subject to the given…

A: f(x,y,z)=39x+12y-56z;  x2+y2+z2=19204.

Q: Evaluate JJ Xy dA, where R is the region in LA ... y = x? R 2 A) 13/7 B) 16/3 c) 18 D) 20

A: A detailed solution is given below

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: Solving

Q: 1- Show that the following subset is a subgroup. H = {o e S, lo(n) = n}cS,

A: Explanation of the answer is as follows

Q: True/False Indicate whether the statement is true or false. 9. A normal vector to a line is parallel…

A: We have to state whether the given statements are true or false: Statements are as follows: 9. A…

Q: Perform the indicated operation. Simplify if possible. b2 64 b+8 b+8

A: To simplify the given expression.