28 1 ap= VI – 1 -7

Q: lim an lim 2 ニ2,

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Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

A: Given problem:- Find two vectors in opposite directions that are orthogonal to the vector u. (The an...

Q: Find the derivative of the function. F(0) = arcsin Vsin(30) F'(8) =

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Q: 4. The measurement of the side of a square floor tile is 10 inches, with a possible error of 1/32 in...

A: topic - differentials

Q: Consider the following. u = (4, -5, 8), v = (-1, -6, 3) (a) Find the projection of u onto v. 25 -150...

A: This is a problem related to vector. Based on the general formula we will solve the question.

Q: find the volume under the surface z = f(x,y) over the rectangle R. 3. f(x,y) =x³ + y², R = [0, 1] × ...

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Q: d'y dy y = aebx is a solution of %3D dx2

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Q: Question 10 Finding the Domain and Range of a Function: f (x) = Vr² – 3x + 2. 0(-0, -2 JU [1, 00) O(...

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Q: Find the domain and range of the function V(x, y) = 9/9y – 45x. Indicate the domain of V in equality...

A: Find the domain and range of the function   V(x,y) = 9 √(9y - 45 x2)

Q: Consider the llowing. u = (3, 9), v = (4, 4) %3D %3D (a) Find the projection of u onto v. 6.6 (b) Fi...

A: Given :  u = <3,9> v = <4,4> To find: a) projection of u onto v b) vector component of u...

Q: A. Determine whether the graphs of the follow yes if it is. Otherwise, write no. Explain your 1. Lin...

A: 1) Linear function:- Yes; a linear function (f(x)=ax+b, where a,b are real and a≠0) is a polynomial ...

Q: 6 Convert your original pair of complex numbers to polar form. D=1-j2 A = 2+ j3

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Q: Зх-1 -dx 2 x+1

A: Given query is to find the integral.

Q: Sketch the level curves of the function f(x, y) = y + x? for c = 3. 7- 5- 4- -6 -5 -4 -3 3 4 5 6 -2 ...

A: Solution ) f(x,y) = y + x2  f(x , y ) = c  y + x2  = c  y + x2 = 3  y = -x2 + 3 To find the vertex  ...

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answ...

A: We can find the critical numbers as below.

Q: Consider the following. u = (8, 7, 2), v = (-4, 1, -9) (a) Find the projection of u onto v. (b) Find...

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Q: dx – log(x² + y²) = eª + cot(xy). sec x

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Q: Use the shell method to write and evaluate the integral that gives the volume of the solid generated...

A: Find your answer below 

Q: Let a = ci +jand b = 9i + 12j. Find c so that the angle between a and b is- Round your answers to fo...

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Q: The vector v and its initial point are given. Find the terminal point. v = (4, -9); Initial point: (...

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Q: Consider the following. u = (1, -9, -7), v = (6, -2, 0) (a) Find the projection of u onto v. (b) Fin...

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Q: 00 5 Write out the first few terms of the series > (- 1)" ) What is the series' sum? n = 0 5n ... Th...

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Q: 2. Determine whether the function is one-to-one. (a) y = 4x2 + 3 %3D (b) y = Vx + 3 – 5

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Q: Consider the following. u = 6i – j - k, v = -i + 5j + 3k (a) Find the projection of u onto v. (b) Fi...

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Q: 1. (-7, -3) 2. (-5, -3] 3. [0,3] 4. [3, 7] 5. (-5,5)

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Q: Reverse the order of integration and evaluate the integral. 9 3 dy dx + 1 3 y The reversed order of ...

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Q: y' + 2.5y = 1.6r 25 yy' – 4x = 0

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Q: 8-2e^-x =4

A: Given 8-2e-x=4We have to find x

Q: Use implicit differentiation to find dy /dx. Then find the slope of the curve at the given point. 7x...

A: Derivative of implicit function

Q: Calculate the integral, assuming that ' f(x) dx = -1, f f(x) dx = 2, S* f(x) dx = 9. (Give your answ...

A: Since,∫abf(x) dx=-∫baf(x) dx

Q: Find u v, u u, ||v||², (u · v)v, and u (3v). u = (3, 10), v = (-4, 3) %3D (a) (b) (c) ||v|

A: Since you have asked a question with multiple parts in a single request we would be answering only t...

Q: The integrand of the definite integral is a difference of two functions. Sketch the graph of each fu...

A: answer is given below .

Q: earctan(x) -dr x² +1 0-

A: Find your answer below 

Q: A school wishes to enclose its rectangular playground using 160 meters of fencing. Suppose that a si...

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Q: 4. y? + 2xy = 4, find y"

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: evaluate the given double integral. 7. (x + 2)dxdy

A: Given query is to find the value of the integral.

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

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Q: Determine whether u and v are orthogonal, parallel, or neither. u = -4i + 15j – k v = 4i + j - k O p...

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Q: 6 Convert your original pair of complex numbers to polar form. D= 1-j2 A = 2+ j3

A: To convert the complex number to polar form.

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

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Q: Find the magnitude of v. V = 4i %3D ||v|| =

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Q: Find the angle 0 between the vectors in radians and in degrees. (Round your answer for part (a) to t...

A: u=4i - 5j + ku=42+(-5)2+12u=42v=i - 4j + kv=12+(-4)2+12u=18Dot product:u·v =uv cosθcosθ=(4, -5, 1)·(...

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

A: Topic = Geometry

Q: Find A csc (x) = sec (3A-x) Ans. π/6   Please include the explanation on the solution. Thank you...

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Q: Consider the following graph. (4, 5) (1, 3) 1. (a) Find the component form of the vector v. (V, V2) ...

A: Given a graph showing the vector. 

Q: Use the incomplete partial fraction method to solve the following differential equations. Y” – 4y’ ...

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Q: rite the equation for a sphere centered at the point (5, 6, 3) and the point (- 6, 0, 2) is on the s...

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Q: f(x) : ²+4x-5 a+5 c = - 5

A: The objective of the question is checking the continuity of the given function at given point.

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.) ...

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Q: 1. Find the area of the region bounded by the line y=x+7 and the parabola y=x^2+4x+3 and also illlus...

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