Find the magnitude of u x v and the unit vector parallel to u x v in the direction of u x v. u = 2 i+2j- k, v = - i+ k 3; + k 2 i+ j- k 3; i+

Q: Find the Taylor polynomials of degree n approximating cos(2æ) for æ near 0: For n = 2, P2(x) For n 4...

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Q: use critical points, first derivative test and second derivative test tools to sketch a curve. Now l...

A: f(x)>0  for  all x>0f(x)<0  for all x<0 f(x) = x(x+1)2f'(x) =(x+1)2-2x(x+1)(x+1)4f'(x) =...

Q: 5. Three numbers have ratio 2:3:5 in such a way that the highest number is 3 more than CA twice the ...

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Q: Differentiate. y = (r2 – 7r)e y' =

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Q: 3. Find the dy/dx of * y? + 2x – 3y = 0

A: The given function,         y2+2x-3y=0

Q: Question 18 tan(2x) Evaluate: lim x+o 2sin2(x) O a. 0 O b.-1 O C. 00 O d.-00

A: Given query is to find indicated limit.

Q: 12-41-12 dx Evaluate the integral: I+2

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Q: Let C be the plane curve given parametrically by the equations : x(t) = t2 + t and y(t) = t² - t - 2...

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Q: lim (25-x2 X-D4 lim ( 3x -2) X-D3 lim (ax2 +4x+5) X-DO X+1

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Q: The principal represents an amount of money deposited in a savings account subject to compound inter...

A: The objective of the question is evaluate the compound interest and solve the algebraic expressions.

Q: Find the Curvature of the space curve r (t) = t i + t? j + -2 t3 k at t = Enter an integer or a full...

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Q: Thu Mar 10 7:15 Window Help View Bookmarks Profiles Tab rome File Edit History Implicit Different X ...

A: Given function f(x)=(x+1)(x-1)2

Q: 14. Evaluate * lim,-> 2-5x

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Q: 2. For f(x) = 28/3 – 4r/3, find a). the domain, b). f', critical points, | c). the local maxima and ...

A: Take f'(x) =0 for critical prints.  According to guidelines we solve only first three parts  

Q: In a certain manufacturing process, when the level of production is x units, the cost of production,...

A: This question can be solved by using the concept of absolute maxima and absolute minima.  

Q: Consider the following relation. y = -4x + 2 Step 1 of 2: Find four points contained in the inverse....

A: The four points contained in the inverse are

Q: In 2010, 1250 U.S. college students expecting to graduate in the next several years were surveyed. R...

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Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. + 8) n= 1 li...

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Q: Follow the steps below to find the nonnegative numbers x and y that satisfy the given requirements. ...

A: Given problem:- x + y = 250 and the product P = xy as large as possible.  

Q: For the equation given, find dy 5x3,2 5x³y² – 5x²y = 9 хр Ap pui хр 1.

A: We will do implicit differentiation with respect to x

Q: 5. Which of the following functions f(x, y) are homothetic? 2(xy)? (b) (xy)? +1 (a) (xy)? +1 (c) x² ...

A: (a) The given function is: fx,y=xy2+1

Q: Using double integration, find the volume of the solid bounded below by the plane z = Oand above by ...

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Q: Consider the following initial value problem. The exact solution is provided for you to compare with...

A: In order to calculate y(1) we need to calculate h and solve step wise using Euler's formula.   

Q: A new manufacturer of automobiles in Canada has determined that the quantity demanded of their brand...

A: Given p(x)=-x^2+6x+36    and interval 3<x<9

Q: 4. The area of a certain square exceeds that of another square by 55 square inches. The perimeter of...

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Q: 12. The sum of two numbers is 40. Find the numbers if the sum of their squares is a minimum.

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Q: Let W = F(x , y, z) = xy + yz + xz , where x(t) = 3 + sin(2t -4), y(t) = t2 and %3D dW z(t) = 3 - t....

A: Derivative using product rule

Q: Given 3y = x^3 + 3x^2 - 9x + 3, Find the relative extrema of f by applying the second-derivative tes...

A: Given ,  3y=x3+3x2-9x+3. Let y= f(x) Above equation can be written as     y=x33+x2-3x+1     or   f(x...

Q: The maximum directional derivative of the function f (x, y, z) = x'y°z° at the point (1, 1, 2) is a)...

A: Given problem:- Find the maximum directional derivative of the function f(x, y, z) = x³y³z³ at the p...

Q: 23 = 24 = a5 = In(n) lim = -0 n+ 1 Enter DNE if limit Does Not Exist.) Does the sequence converge ye...

A: The given sequence isln(n)n+1n=1∞ and an=ln(n)n+1.

Q: Let R be the region of the xy-plane which is in the first quadrant and inside the unit circle x² + y...

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Q: Oil is leaking in a circular shape from a tanker in such way that the radius of the circular spill i...

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Q: Direction: Determine the type of error committed of the following problems and explain why. Write yo...

A: As per the instruction, we will be answering only the first one. For (a), Statement: Maria insists t...

Q: x + y + exy = e a) Find dy/dx using implicit differentiation. b) Find the slope of the tangent lin...

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Q: Differentiate. y = 8t2 - 5t + 1 %3D

A: Given y=t28t2-5t+1

Q: (2 In sin x)3 15. S tan x

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Q: Principal Compounded semiannually The principal represents an amount of money deposited in a savings...

A: Given table:- Principal Rate compounded  Time $ 6000 8℅ semiannually 5 years   To find:- The...

Q: a. Find the open interval(s) on which the function is increasing and decreasing. b. Identify the fun...

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Q: What is the equation in standard form of a hyperbola if the coordinates of the foci are F;(3, – 5), ...

A: We know the following. From the given focus and vertex, we observe that we must have b=3, a=4, h=3,...

Q: Evaluate the following limits. 1. lim cos2x = %3D x X- 4

A: Given:    limx→π4cos2x

Q: DETAILS LARCALC11M 9.6.044.MI. Use the Root Test to determine the convergence or divergence of the s...

A: Let's find. 

Q: What is the equation in standard form of an elipse if the coordinates of the foci are F1(- 4, – 2), ...

A: The coordinates of the foci are F1-4,-2, F24,-2 and vertex at V6,-2

Q: Write the first five terms of the sequence with the given nth term. = cos %3D

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Q: For the function f(x) = 5x° – 7x + 13x+ 3, find f'"(x). Then find f"(0) and f"(3). ... f"(x)= your c...

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Q: The length of an arc of a polar curve r = f(0), a < 0 < b, is given by the formula: %3D Find the len...

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Q: Write in radical form. Do not simplify. ーxー7/6 Need Help? Read It Watch It

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Q: What is the equation of a circle in general form with center at C(8, – 9) and tangent to the y- axis...

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Q: use the rules of differentiation to find fhe derivative. g(x) = 2x² - 3x +1

A: Given query is to find the derivative of the expression.

Q: At (0, 3), the function f (x, y) = 1 – x³ + 6x2 + y2 – 6y has a O a) None of these b) saddle point c...

A: The given data is: At 0,3, the function fx,y=1-x3+6x2+y2-6y.

Q: S(x - 3)(x² – 6x + 1)?dx 6.

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