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Q: Solve for the projection of the vector P = (3,4, 4) onto Q = (0, -2, –5). What is the exact measure ...

A: Given, P = <3, 4, 4> and Q = <0, -2, -5>  

Q: 200 If 50, solve for t. 1 + 5e-0.5t t =

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

Q: Use the given graph of f over the interval (0, 6) to find the following. y -1 1 (a) The open interva...

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Q: 2. у(у+ 2х — 2)dx — 2(х + y)dy 3D 0

A: A differential equation of the form M(x,y)dx+N(x,y)dy=0 is said to be exact iff, ∂M∂y=∂N∂x

Q: Which of the following equations is an exact DE? O (10x^2 +5)dx-20xydy%3D0 O (2xy-3x^2)dx+(x^2-2y) d...

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Q: For a week, a clothing company tracks the amounts spent by its customers, with the results shown to ...

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Q: Find the vector -4u+2w given the vectors u = -8j and w =-6i+5j. Write your answer in the form ai+bj....

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Q: dy If y = sin='(cos x) then dx ||

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Q: 5. lim sin TT (sin- 3. x→0 2

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Q: Find if y = arctan(e2*). dx dy 2e 2x dy e 2x dx 1+e 4x dx 1+e4x O Option 3 Option 4 dy dy 2e 2x V1-e...

A: Topic = Derivative

Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x2 + ...

A:   Intersection points:  x2 + y2 - 4ax = 0                                                          ...

Q: 1. What is the slope of the tangent line to the curve f(x) = 5a2 - e* - e, at a = -1? (A) –10 e (B) ...

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Q: Find the volume of the solid generated by revolving the area bounded by x2 – 2kx – 4ky + k² = 0 and ...

A: Given curves are:  x2-2kx-4ky+k2=0 4x-4y+k=0 The area bounded by them is revolving about the line x=...

Q: Q. The curve y = v4 – x², -1 <x<1, is an arc of the circle x? + y? = 4. Find the area of the surface...

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Q: Determine the interval(s) on which f(x)=square root(x/x-4) is continuous.

A: Given query is to find the interval where function is continuous.

Q: Find unit vectors that satisfy the stated conditions.

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Q: +00 (x + 7)" Consider the power series > 2" Vn² – 1 | n=2 1. Use Limit Comparison Test to show that ...

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Q: Find the antiderivative, G(t), of the function g(t) = (3n²t² – t*)V3n² – t².

A: I am attaching image so that you understand each and every step.

Q: x²+5x-8 Evaluate f

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Q: cosh^2at find the Laplace transform

A: f(t)=cosh2(at) we want to find the Laplace transform of a given function  formula L coshat=ss2-a2

Q: dr Let A be the area of a circle with radius r. If dt dA 5, find when 7 3. dt

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Q: what are the coterminal angles for -220 degress

A: We have to find the coterminal angles for -220° The definition of coterminal angles is, the angles i...

Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 Eu. (v x w)| to determine ...

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Q: Consider the points A(3, –3, 3), B(4, –5, 1), C(-2, -4, 1), and D(6, 3, –5). (a) Find the volume of ...

A: Volume of parallelepiped

Q: Let a=ci+j and b=3i+6j. Find c so that a and b are orthogonal.

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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: Q2: Solve the following equation using bisection method to find the root between x1=1 and x2-3 make ...

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Q: Find the points of discontinuity for 3(x+2)2 x3 + 4x2 + x – 6 a) h(x) = 6х— х2 b) f(x) = 9 – x2

A: we will find domain in second question and then find discontinuos  point.

Q: 4. If g(t) = et +e-i' then g'(t) is which of the following? 2et + 4e2t (A) e2t + 2+ e=2t 2et + 4e2t ...

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Q: 1.3. Study the existence and uniqueness of the solution of the initial value problem (2y – 4)y/ – (3...

A: Given problem:-     To find:- fy(x, y) 

Q: 1. we have to evaluate the following integrals 4 dy de a. 1.

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Q: Use the Second Derivative Test to find all local extrema, If the test applies. Otherwise, use the Fi...

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Q: 3. a) Find polar coordinates (r, 0) of the point (1, -/3), where r> 0 and 0 <0 < 2 p2 = x² + y?, tan...

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Q: Znt 2

A: For the series with an=(-1)n+1 bn  or an=(-1)n bnbn ≥0 for all k.Then if,1. limn→∞ bn =0 and,2.{bn} ...

Q: Find the Laplace transformation of coskt+t3/2+t/2

A: laplace transform of coskt + t3/2 + t1/2 = s/(k2 +s2 ) + 3π/4s5/2 + π/4s3/2  transform of function a...

Q: Given x+ y +z=3 and Po(2,1,0), find the following. (a) Find the equation for the tangent plane at th...

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Q: (2 cos x–sin x )" dæ sin x

A: Given: I=∫2cosx-sinx2sinxdx   We know that; The trigonometric identities; 1). sin2x+cos2x=1 2). 1csc...

Q: If a0=1, a1=5, and ak+1=-3ak-1+4ak for all k≥1, use methods of linear algebra to determine the formu...

A: We have to find the formula for ak  and the limit as k approaches infinity for ak+1/ak.

Q: II. Evaluate the following limits. 1. lim sin x X→- 2

A: To find out the limit. 

Q: f (x) If lim f(x) = 12, and lim g(x) = 3, what is lim Xc Vg(x) А. 1 В. 2 С.4 D. undefined The Limit ...

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Q: Find the length and width (in feet) of a rectangle that has the given area and a minimum perimeter. ...

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Q: xy' + y = 0, y(4) = 6 %3D

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Q: A solution composed of 50% ethanol (EtOH), 10% methanol (MEOH), and 40% water (H2O) is fed at the ra...

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Q: Activity 1. What's My Extrema? Identify the extrema (both minimum and maximum) of the given graphs b...

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Q: A rectangular package to be sent by a postal service can have a maximum combined length and girth (p...

A: Given problem:- A rectangular package to be sent by a postal service can have a maximum combined len...

Q: A solution composed of 50% ethanol (EŁOH), 10% methanol (MEOH), and 40% water (H2O) is fed at the ra...

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Q: A pole that is 74 feet long is leaning against a brick wall. The bottom of the pole is getting farth...

A: This question is related to rate of change, we will solve it using given information. 

Q: (-1)" 2'/n (2n² – 1)" en? n=1

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Q: Given the differential equation and its initial conditions y" - 4y' + 5y = 4 e" with y(0) = 2 and y'...

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Q: d^2y/dx^2 for y=2x^3-5/x^2

A: