find if w= fcusu)ou=X+y Wxy xy Express the of u,v, fu , fv V= an Swer interns

Q: Consider the following. 1 = (3, 7), v = (4, 6) (a) Find the projection of u onto v. 27 13 (b) Find t...

A: Given vector,u=3i+7jv=4i+6jVector projrction of u on v=u.vv2v=(3i+7j)(4i+6j)42+62(4i+6j)=12+4216+36(...

Q: Find the vector component of v = (4, 1, 7) along b = (4, 8, –8) and the vector component of v orthog...

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Q: Find the exact area of the surface obtained by rotating the curve y =x' 3 0<x<12, about the y-axis. ...

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Q: Find 2 dx *- dx x+1 4. dx 3.

A: y =(x+1/(x+1))2 y = (1/x+1)2 y = 1/(x+1) dy/dx = -1/(x+1)2   4 y = x2/(3x2 - x3) y = 1/(3 - x) dy/dx...

Q: If 4x²-2y²=9, then find dy/dx.

A: Using defination of differentiate

Q: dy 3) (x+ 1)(y- 1) dx

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the remain...

Q: 9) In a local art museum, a moving spotlight projects geometric figures on the wall in front of it. ...

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Q: The inverse notation f used in a pure mathematics problem is not always used when finding inverses o...

A: Since the tax function is dependent on g.

Q: Find f such that f'(x)= 7x +7x-2 and f(0)= 8.

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Q: Find the angle 0 between the vectors in radians and in degrees. u = 9i + 5j + k v = 5i - 9j (a) radi...

A: In this question, we need to find the angle θ between the given two vectors.

Q: Consider the following planes. 5x + 6y – z = 66 x - 12y + 2z = 0 (a) Find the angle between the two ...

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Q: Find the derivative of the following functions. Show complete solutions, including trigonometrie ide...

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Q: 17. The equation that models the height above or below equilibrium in inches, h, of a spring over (2...

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Q: cos 4x 2 dx sin4x 5.

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Q: Directions: Find the extrema of the following function on the given interval, and determine the valu...

A: Since you have posted multiple questions which are not interlinked i can do first question as per ou...

Q: Compute the partial derivative: f(x, y) = sin(x® – 5y) fy(0, T) =

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Q: sin° (3x) cos“ (3x)dx 4

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Q: Ax)

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Q: 1. (a) (i) Determine the least degree of the polynomial function given by the following graph. (ii) ...

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Q: b.y = x100 ; find dx100 d'100y (100th derivatives)

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Q: 4. Calculate the following integrals: 4 3 dx 1 – x2 dz 25z2 + 1

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Q: Please illustrate the difference between a function being continuous and differentiable by presentin...

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Q: 3. Consider the ellipsoid x2 + 4y2 + z? = 18. Find the acute angle that the tangent plane at the poi...

A: Let us consider two surfaces f(x,y,z)=0 and g(x,y,z)=0. Now let n1 and n2 be two normal vectors on t...

Q: 2 y +y こ メ Solve?-

A: According to Bartleby guidelines I can only answer the first question.

Q: 25 The fundlion fox) is represented in the following table. Give the best estimate for f(x)dx 10 10 ...

A: ∫1025 f(x)dx here values are different for different interval ∫1025 63+82+115+120dx ∫1025 380dx [380...

Q: = csc2 x + sec x Cos° x ,3 -

A: Here f(x) =cosec^2x +secx- cos^3(x)  

Q: Sketch the region bounded by the given curves, then find the centroid of its area. 1. x = 8 – y? , x...

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Q: 3 Evaluate 4a?y – 2° dz dy dæ -1 J1

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Q: Sketch the region bounded by the given curves and find its centroid

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Q: Average Life Span One reason for the increase in human life span over the years has been the advance...

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Q: Find a polynomial of degree n that has the given zero. (There are many correct answers.) Zero Degree...

A: To find : A polynomial of degree n that has the given zero. Given information: Zero: x=9, Degree: n=...

Q: Match the integral expression on the left to its suitable transformation on the right, after using a...

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Q: Find the da/dx, where a is a function of x: a²x² + 2ax = a.

A: The given function,        a2x2+2ax=a

Q: Vx+1-2 lim 3. Evaluate x-3 using table of functional values.

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given ...

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Q: Find the radius of convergence, R, of the series. (-1)^x" + 6 n + 3 n= 1 R = Find the interval, I, o...

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: y aln(a) – y = 0; y(2) = In(4)

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Q: Find the equation of the plane that passes through the point (2, 1, 7) and is tangent to the surface...

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Q: Use the graph of y = f(x) to the right to solve the inequality f(x) 2 3. Select the correct choice b...

A: Given graph:- To find:- Use the graph of y=f(x) to the right to solve the inequality f(x) ≥3

Q: ry" +xy'-4y 2r y"-2y' +y -3-x+x. y(0) =-2, y(0) 1.

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Q: Given the graph of y = f(x), sketch the graphs of f' and f" on the same set of axis. 1.

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Q: Use a double integral in polar coordinates to find the volume V of the solid bounded by the graphs o...

A: This is a problem related to polar integral. Assume the x and y in term of polar and then we will so...

Q: Q1 Consider the plane curve defined by the parametric equations x = p + t sin(t),y= p² + t cos(t). C...

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Q: The radius of a circle is increasing at the rate of 4 cm/s. How fast is the area of the circle chang...

A: Given,           The radius of a circle is increasing at the rate of 4 cm/s. And the radius is 5 cm ...

Q: Q1.Find the general solution of following PDE equation (a) (5z+ R)uz + (7x+ R)u, R (b) (z + R)u, + (...

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Q: Find an equation of the plane with the given characteristics. The plane passes through the point (4,...

A: parallel to yz plane so the euation is x = k and the here point is is (4,6,3) so the equation is x =...

Q: Jse the given graph of y = f(x) to find the intervals on which "(x) > 0, the intervals on which f'(x...

A: Need to find the intervals on which f'(x)&gt;0, the intervals on which f'(x)&lt;0, and the values of...

Q: Find the equation of the tangent line at (2,2) on the curve x² + xy + y² = 3

A: Topic = Derivative

Q: x = r° +1, y=r -t a) Find dy/dx

A: To find the derivative of given parametric function.