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Q: Evaluate the following integrals using theFundamental Theorem of Calculus.

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Q: the EXACT Salutian to the equation belaw/de not decimal apprakimatea) give %3D

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Q: determine the general solution to thegiven differential equation. (D − 4)(D + 2)y = 0.

A: To determine the general solution of given differential equation: (D-4)(D+2)y=0

Q: Find the derivative of the function. f (x) = 1/ ( 1+ x 2 )

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Q: Differentiate. 7 + 8x 9(x) 9 - 2x g'(x) =

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Q: Explain the best way to evaluate 900!/899! without a calculator

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Q: Determine the centroid bounded by the parabolas x=y^2 and x^2=-8y

A: Consider the given equation x2=-8yas, y=-x28 And y2=x then, y=x.Then, x=-x28x4-64x=0x=0,4 Thus, the ...

Q: Consider the triangle represented by the shown matrix. Use matrix operations to perform the followin...

A: Matrix representation of the triangle is given by A=034052=x1x2x3y1y2y3

Q: (a) P(q)=3q^2+q+7 Find the derivative by using the definition. p'(q)= (b) Find the instantaneous rat...

A: P(q)=3q^2+q+7 We need to find the following (a) Find the derivative by using the definition. p'(q)= ...

Q: Question 8. Consider the surface defined by x² – - = 1. Draw the traces of this surface correspondin...

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Q: ds where t+s = 2s . dt Find %3D 6.

A: t+s=2s

Q: Please explain the steps

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Q: At what point on the curve y = [ ln (x +4 ) ]2

A: Consider the curves, y=lnx+42

Q: Find the derivative of the function. g (x) = 4x(3x + 2)’ %3D

A: The given function is gx=4x3x+25

Q: Find all points (x,y) on the graph of y = х- 2 with tangent lines perpendicular to the line y = 2x -...

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Q: Use Cramer’s Rule to solve:

A: using Cramer's Rule to solve x+2x-z=-4x+4y-2z=-62x+3y+z=3

Q: Find the domain and range of z= f(x,y)= ln(y-x^2). A. Graph the region in xy-plane that represents...

A: Domain is the set of all the possible inputs of the function. Range is the set of all possible outpu...

Q: Given A, Find A-1 and check.

A: Given matrix is A=e2x-exe3xe2x.

Q: Find (a) the intervals of increase or decrease, (b) theintervals of concavity, and (c) the points of...

A: fx=1-xe-x Differentiating with respect to x, we get f/x=d1-xdx·e-x+de-xdx·1-x=0-1e-x-e-x1-x=-e-x-e-x...

Q: At a distance of 55 ft from the pad, a man observes a helicopter taking off from a heliport. If the ...

A: Consider the diagram of a given situation : Given: Y = 55 ft H = 116 ft dHdt=53 ft/sec X = distanc...

Q: Errors in approximations Suppose f(x) = Vr is to be ap- proximated near x = 8. Find the linear appro...

A: Linear approximation of f(x) at x=a is, L(x)=f(a)+f'(a)(x-a) Given that f(x)=x3=x13

Q: A cir

A: It is given that the centre of the circle is -1, 5 and the radius of the circle is 6 units. Sice, th...

Q: If I is the multiplicative identity matrix of order 2, find (I - A)-1 for the given matrix A.

A: To Determine: find (I - A)-1 for the given matrix A. Given: If I is the multiplicative identity matr...

Q: 4. Solve the following differential equation: (x² – y") dx + 2 xy dy = 0.

A: We can solve this Differential Equation using Substitution method: Given : (x2-y2)dx+2xy...

Q: Tangency question It is easily verified that the graphs of y = 1.1x and y = x have two points of int...

A: Given that y=1.1x and y=x have two point of intersection. y=2x and y=x have no point of intersectio...

Q: For a certain model of car the distance d required to stop the vehicle if it is traveling at v mi/h ...

A: Given that d(v)≤180.We have to find the range of v. d(v)≤180v+v225≤18025v+v225≤25(180)25v+v2≤4500v2+...

Q: Use the definition of continuity to determine whether f(x) = (x - 7)/(x + 7) at a = 7.

A: Given: Function Continuity of a function at a point: The function f(x) is said to be continuous at...

Q: Differentiate. 7x y = e* y' =

A: We have to use u/v rule here (u/v)' = (u' v - uv')/ v2 Here u =7x v= eX

Q: Use properties of limits to find the indicated limit (as shown). It may be necessary to rewrite an e...

A: Given that limx→1x2+2x-3x2-1. Compute the limit as follows.

Q: (a) If f(x) x2 find f'(x) and f"(x). + 1 f'(x) f"(x) =

A: Given fx=x2-1x2+1

Q: 음 (5) = 3 음 ($) -3 19. у ду

A: To show: ∂∂xxy=1y∂∂yxy=-xy2

Q: Derive the formula for the volume of a right pyramid whose altitude is h and whose base is a square ...

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Q: Determine the general soloution to the given differntial equation

A: we have been given the differential equation dTdt=k(T-A) this is the first-order linear differential...

Q: find dy/dx by implicit differentiation x2y2 = 1

A: According to the question, we have to find the differentiate x2y2=1 by implict differentiation, Impl...

Q: 1 r(t) = (t sin t, (2t)³/2, t cos t), 0 < t < 2n. 3

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Q: Evaluate fc y 2 dx + x dy C C1 is the line segment from (-5,-3 ) to (0,2) and (b) C =C2 is the arc o...

A: To determine ∫C1 y2dx+x dy & ∫C2 y2dx+x dy where C1 is the line segment from (-5,-3) to (0,2) an...

Q: Consider the following function and graph. f(x) = 4 %3D x² - 16 6 -10 -8 -6 4 -2 6. 10 Determine whe...

A: The given function is, From the above expression.

Q: d {in(1 — а? + а°)} dx

A: Since you have asked multiple questions in a single request, we would be answering only the first qu...

Q: Solve the equation using the quadratic formula. 14x - 4 = 7x² %3D

A: The given quadratic equation is

Q: Algebraically determine wether the function is even odd or niether. Even problems only with steps

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Q: From this graph, find the following intervals. (photo attached below)

A: Given:

Q: Use vectors to determine whether the points are collinear. (0, −2, −5), (3, 4, 4), (2, 2, 1)

A: A(0, −2, −5), B(3, 4, 4) & C(2, 2, 1) be the given points. Now vector joining the points A and B...

Q: f(x) =Tx-L, C17,4) find an eguation e tancend line to the arraph Given point of the off at the

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Q: Sketch the region D between y = x2 and y = x(l - x ). Express D as a simple region and calculate the...

A: Given that, y=x2 and y=x1-x To sketch the region bounded by above two curves is,

Q: Pleas help me I don’t understand

A: Given: a) fx=lnx+1,x≥04-x2,x<0 b) fx=10-8e9-x,x>910-89x,x≤9

Q: A piecewise function is given (attached). Use properties of limit to find the indicated shown limit,...

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Q: Use the graph to determine a. the function’s domain; b. the function’s range; c. the x-intercepts, i...

A: given: the graph of the function y=f(x).

Q: Find:

A: we have to find the given limit limx→-3(x+16)

Q: Solve, as given;

A: We have to given an example of a function which is not defined at 2 and the limit x tends to 2 of th...

Q: Explain how to write a linear system of three equations in three variables as a matrix equation.

A: When a system of equations is 3x3, it has three equations and three variables. Let the three equat...

Transcribed Image Text

Find the second of the finchion, ç x) = cos e derivative f (x) (x %3D %3D