Consider the following. u = 6i – j - k, v = -i + 5j + 3k | (a) Find the projection of u onto v. (b) Find the vector component of u orthogonal to v.

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Q: 7. a) Find a if csc a=-2.852, %3D b) Using the reference angle a from part a above, show the angle o...

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) h(x) = si...

A: To find the critical numbers of the given function.hx=sin2 x+cos x, 0<x<2π  

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Q: Solve the following differential equations of 2y-3dy = y* ·e*; Linear Differential %3D dx Equation

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Q: Consider the points A(3, –3, 5), B(5, –5, 2), C'(-1, –4, 2), and D(4, 1, –8). (a) Find the volume of...

A: AB→=(5, -5, 2)-(3, -3, 5)AB→=(2, -2, -3)AC→=(-1, -4, 2)-(3, -3, 5)AC→=(-4, -1, -3)AD→=(4, 1, -8)-(3,...

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A: (A)    Given v=<15,-8>.

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Q: 1. Given the function f:x → Inx. a) Find the interval on which f is increasing. b) Find the point at...

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Q: 2 cos-r, if -1 0. r+ cos r

A: This question is based on function continuity and differentiability.

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Q: dy III. Find using implicit differentiation. dr sec (ry) = (cosh r)(tanh +) + 2 csc=' (tan(y+1))

A: Question III,Given,            sec3xy2=coshxtanhx+y+2csc-1tany+1To find : Find dydx using the implic...

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A: A tour boat used for river excursions can travel 10 mph in calm water. The amount of time it takes t...

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A: Given :f(x)=-4x+5x=3rln(2s)

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Q: sin x dx

A: This is a problem of integration. Based on the general formula of integration we will solve the ques...

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Q: Given f(x,y) = 4x sin(5xy). Find fyy(4,5). Give you answer correct to two decimal places. Answer:

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: Use sigma notation to write the sum. 5 5 5 4 + 1 4 + 2 4 + 3 4 + 12 Σ

A: By using sigma notation to write the sum.54+1+54+2+54+3+...+54+12  

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Q: dy using implicit differentiation. dx 3. Find sec (xy?) = (cosh x)(tanh =+/9) + 2 csc¬1 (tan(y + 1

A: Given: sec3(xy2)=(coshx) (tanhx+sqrty)+2csc-1(tan(y+1)).

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: Solve the equation y' + y · tan (x) = sec(x) Ans y sec(x) = tan(x)+c %3D

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Q: Assume that the rate at which a cup of coffee cools to room temperature is proportional to the diffe...

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Q: Convert to an equation in rectangular coordinates. r = cos (0) – sin (0) (Express numbers in exact f...

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Q: Find the area of the triangle with vertices P(1, 6, –6), Q(0,0,0) and R(3, 4, 1). NOTE: Enter the ex...

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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

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Q: 3. * 2+7 sin3x cos2x 2 tan x+ 7 sec x +7 cos x +c C 2 tan x-7 secx +7 cos x +c 2 tan x + +7 cos x +c...

A: The integration of the integral is  (2+7sin3x) /cos2x. 

Q: Consider the differential equation dy = y +t. dt Given that the general solution to the DE is y(t) =...

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Q: Use the Product Rule or the Quotient Rule to find the derivative of the function. y = 5x6 sec(x) y'=

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Q: I. Define the function [In(r+ 1)] cosh r + tanr ,r20 (sinh r) sec- (r – 2) S(x) = ,z <0 1. Show that...

A: As per bartleby guidelines we only give first question answers. 

Q: sinh(3a) s. Solve for f(21)(x) given that f(x) = 3

A: Topic = Derivative

Q: Use left endpoints and 6 rectangles to find the approximation of the area of the region between the ...

A: Let's find.