Find the angle between two vectors by using cross product (V,xV2) V, = 3i + 9j + 6k V2 = i + 3j + 2k %3D

Q: A street light is at the top of a 20 ft tall pole. A woman 6 ft tall walks away from the pole with a...

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Q: A circle is defined by x + y = 9. The area bounded by circle and y-axis on quadrant II and III is re...

A: The center of the circle is (0,0). And it is symmetrical to the origin. The portion on quadrant II a...

Q: y = 3x?+1 ; (0,1)

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Q: Find the centroid of the region bounded by the curves: y = 2x – x² and y = x

A: Let, is the centroid of the region which is bounded above by the curve y=f(x) and below by the curve...

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Q: du 17. t - = t² + 3u, t> 0, u(2) = 4 dt

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Q: Find the length of one arch of the cycloid (from 0 = 0 to 0 = T). x = a (0 – sin 0) y = a (1 – cos 0...

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Q: Consider the parallelepiped with adjacent edges u = 7i + 4j + k v = i+j+9k w =i+8j + 8k Find the vol...

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Q: determind the derivative of a function Let f(x) = In (x^2+16x+73) f'(x)=

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Q: 16. t 31²y = cos t, y(T) = 0 dt

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Q: What in the doman of the functon fa) - Via + 13 Ge your anaer in intervit notution. Far eampie he AS...

A: We have given a function and find to domain

Q: ple plot A modern window has the shape of a rectangle topped by an equilateral triangle as shown in ...

A: For the solution follow the next steps.

Q: 7 Find lim E n-00 k=1 n+7k

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Q: Let ag = 2k + 1. %3D 30 Find ak k=1

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Q: Suppose f is a function such that f'(7) is undefined. Which of the following statements is always tr...

A: This question can be solved by applying the relation between continuity and differentiability of a f...

Q: Find the extrema of the following function on the given interval, if there are any, and determine t...

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Q: Finding the Area of a Region In Exercises 15-30, sketch the region bounded by the graphs of the equa...

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Q: 00 (2x -3) For what values of x does the series converge? n! n=0 x = only B 1< x < 2 only 1<x < 2 on...

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Q: Find the indefinite integral and check the result by 3/2 + 4x + 6) dx

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Q: 2. Find the area of the ellipse S on the plane 2x + y + z = 2 cut out by the cylinder x2 + y? = 2x; ...

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Q: A street light is at the top of a 18 ft pole. A 5 ft tall girl walks along a straight path away from...

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Q: How far from the x-axis is the centroid of the area bounded by the curve y = 8x, the y-axis and the ...

A: Solution is given below:

Q: anx" + + a1x + ao An 4. If f(x) = bn with an #0 and b, #0, show that lim f(x)% = ... %3D .. + b1x + ...

A: As per the guidelines I am supposed to do the first question among multiple questions. So I am doing...

Q: Find the area of the region bounded by the graphs of the equations: f (x) = V5x – 10 g (x) = 2x – 4 ...

A: Area bounded by the graphs f(x)=5x-10 and g(x)=2x-4

Q: Determine the I coordinate of the centroid bounded by curves of the polynomial functions y = r* – x ...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: Find what value of c does dx = 1?

A: Given ∫5∞cx3dx = 1we know that ∫xn dx = xn+1n+1+C

Q: 2. Find the equation of the normal line to the graph of el tan(xy) – In(x? – 3y) = sin (rx) at the p...

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Q: Obtain the general solution to the following separable ODES; if there is an initial condition given,...

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Q: Find the value of the derivative (if it exists) at each indicated extremum. (If an answer does not e...

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Q: Use the properties of summation and the Summation Formulas Theorem to evaluate the sum. Use the summ...

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Q: Using a calculator, complete the table and use it to estimate the indicated limit if it seems to exi...

A: limit

Q: Determine the length of the arc on a circle 22 + y? 100 from x = 3 to x = 5 in the quadrant IV. O 1....

A: according to our guidelines we can answer only one question and rest can be reposted. 

Q: Find the area of the region bounded above by y = x2 - 3x - 4 and below by y = x+ 1. AY 8 6 4 2- 23 4...

A: we have to find the area of the bounded region . 

Q: Find the extrema of the following function on the given interval, if there are any, and determine th...

A: Given: fx=4x2-8x+5  &amp; -2,2   The Power law: ddxxn=nxn-1

Q: Use the rules of differentiation to find the derivative of the function. g(t) = g'(t) =

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Q: The MAIN use of Newton's Method is to: O Find the roots/zeros of a function O Find the y-intercept o...

A: Newton's method also known as Newton-Raphson method is an iterative process that can approximate sol...

Q: Consider the following planes. 5x + 6y - z = 132 x - 12y + 2z = 0 (a) Find the angle between the two...

A: Solution is given below:

Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid generate...

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Q: Evaluate the improper integral e-1/x dx

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Q: Let a = ci + jand b = 4i + 3j. Find c so that the angle between a and b is=. Round your answers to f...

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

A: Given problem:- Find the volume of the solid generated by revolving the region bounded by the graphs...

Q: Find the area of the region bounded by the curves y = 2 - x2 and y = -x. Select one: а. 11/3 O b. 9/...

A: This question can be solved using the concept of area between two curves.

Q: f(#n) f'(In) For the function f(x) = r+x - 4, write Newton's formula as In 11 = F(Tn) In for solving...

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Q: 3sin-1x, if -1< x< 0 f(x) = x2+ Tt if x20 x+cosx'

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 20j as ...

A: By using vectors we have to find the lengths of the diagonals of the parallelogram that has i+j and ...

Q: Use left and right endpoints and the given number of rectangles to find two app g(x) = 2x2 - x - 1, ...

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Q: entiable at x = 1. What is f_(1)?

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Q: Determine the length of the arc on a circle a +y = 100 from z 3 to I=5 in the quadrant IV. %3D O 3.3...

A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

Q: sinh(3r) 3. Solve for f(21) (x) given that f(x) = 3 %3D

A: We know, ddxcosh(mx)=msinh(mx) , for any real number m. ddxsinh(nx)=nsinh(nx) , for any real number...

Q: Find the area of the triangle with vertices P(1,5, -3), Q(0,0,0) and R(3, 4, 1). | NOTE: Enter the e...

A: given vetrices P(1,5,-3), Q(0,0,0) and R(3,4,1)