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Q: Find the limit of lim f\x+2g x if limf\x=3 and lim g x=6 List all limit rules you need to X -5 X -5 ...

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Q: Set up a triple integral for the volume of the solid. Do not evaluate the integral.

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Q: 5. What is the period of the function graphed below? 2 -T/2 TT/2 TT 3T/2 211 O 2

A: Period: It is reparation of function after some time or after some  distance.

Q: (T/ g)(-3) 3. Given f(x) = 2x – 3 and g(x) = 5x + 4, use composite (f° g)(x) = f(g(x)) in the follow...

A: topic - composite functions note : As per bartleby guidelines, we are supposed to answer only first ...

Q: Q41 state, give reasons which of the following subset are compact or not 4. {(x,y):x + yi = 1} 5- ((...

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Q: d the slope of the secant line to the graph of f(x) = 6x - 2 from 2 to 19. If necessary, round the a...

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Q: The region Renclosed between the graph of the function y = r² – 4x + 5 and the x-axis for 0 < x<4 is...

A: Solution

Q: 1. To obtain the graph of y=asinb(x-h)+k, explain what each of the values of a, b, h, and k affects ...

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Q: Verify the Mean-Value Theorem for integrals, for the function f(x) = x² + 5 [0,3]- on

A: We need to verify the Mean-Value theorem for integrals, for the function : f(x)=x2+5      on  [0,3]

Q: Use a triple integral to find the volume of the solid bounded by the graphs of the equations z = 3x²...

A: NOTE: Refresh your page if you can't see any equations. . here we have  and the first octant which...

Q: a) Does the point P(2, −1, −3) lie on the plane given by Π : 2x − y − 3z − 4 = 0? Justify your answe...

A: Here in this question we have to find out the equation of a line passing through point (2, -1, -3) a...

Q: 1 2 -In(v) – = In(x) + InC .....

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Q: The graph of one complete period of a sine curve is given (see attached). Find the amplitude, per...

A: We have to find horizontal shift and equation.

Q: Find the distance between the points (p,q) and (0,0) I need the distance in units. Square root of p2...

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Q: Evaluate the iterated integral. 225-y y dx dy 15 15 225-y y dx dy = %3D

A: Double integration 

Q: Use a computer algebra system to approximate the iterated integral. (Round your answer to three deci...

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Q: Evaluate the iterated integral. 8. 6ze dy dx dz /1 0/

A: The given integral is: I=∫18∫01∫0x56z e-x6 dy dx dz

Q: 5. Find all extreme points & values and saddle points of the function f(x, y, z) = In(x² + 1) + y?z?...

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Q: (D² – 3D + 2) y = 14 sin 2x – 18 cos 2x

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Q: Complete the square and determine the vertex for the following function. s(x) = - 2x-16x- 27 | .. Co...

A: Given: sx=-2x2-16x-27 Solution: sx=-2x2-16x-27s(x)=-2x2-16x-32+5sx=-2x2+8x+16+5sx=-2x2+2×4×x+42+5s(x...

Q: Evaluate the iterated integral. (42 ?- 2y²) dx dy

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Q: An eagle rises in a helical path given by the vector function r(t) =〈250cost, 250sint, 100t〉 where r...

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Q: Graph the parabola (y = 2x? - 3x - 5)

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Q: 1. [1 Consider the parametric curve described by: 1= 12t – t°, y = 16 – ť°, t € (-0, x). (a) Find an...

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts fo...

Q: Find an equation of the tangent line to the curve y = (In 3) 3* at the point (0, 1) y = (In 3)²x + 1...

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Q: functions. 2x+5 9. w(x)=- Vx-2

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

Q: Let g(t) be the amount of grain (in kg per day) that is harvested on day t, where t = 0 is the begin...

A: gt be the amount of grain in kg per day that is harvested on day t. Where, t = 0 is the beginning of...

Q: Find the distance between the point and the plane. (Round your answer to three decimal places.) (3,...

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Q: Suppose that f (x) da = 6 and f g (x) dx = -2. Which of 3 the following is NOT necessarily true? O A...

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Q: (1-x, Q10/ Graph the function f(x)={2-x. 12-x, 1<x<2

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Q: Solve the differential equation when = 5(10 – P) if P = 2 when t = 0.

A: Solving the problem by solving the diff equation.

Q: 3. х %3D у* — 2у3 2y3

A: We can find the answer as below using delta method

Q: Set up and evaluate a double integral to find the volume of the solid bounded by the graphs of the e...

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Q: EXAMPLE 2 Find a vector perpendicular to the plane of P(1, –1, 0), Q(2, 1, –1), and R(-1, 1, 2) (Fig...

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Q: r8 17 - By?) dx dy

A: While integrating with respect to one variable , take other variable as constant.

Q: (2xy- 3x)dx+(x² + 2y)dy = 0

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Q: 4. (D² + D – 7) y = 0

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Q: Given that =C1 cost + c2 sint is a two parameter family of solutions of x+x= 0 Then the solution to ...

A: Use initial conditions for finding constant value

Q: d. y=1+4cos(x Amplitude Period Vertical shift Horizontal shift y=3+tan(x-x) Amplitude Period е. Vert...

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Q: cos ( In 2e CoS Evaluate

A: Note that, cos x=eix+e-ix2

Q: Determine whether Ln=1 n2+1 tan- is convergent using integral test.

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Q: solve the following differential equation ytan (x)dx + In(y)dy= 0

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Q: April took out $600 loan from the bank. At the end of 5 yearsshe pays back the principal plus $60 in...

A: Given query is to find the interest rate.

Q: a) Sketch the polar curve r: 4 cos (0).

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Q: height of a projectile launched into the air is given by f(t) = - 16t + 225t + 10, where t is the HU...

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Q: find the divergence of F. F(x, y, z) = x²i + y²j+z²k div F = 2(x + y+ z) div F = 3yz? + 2y sin z + 2...

A: Topic = Derivative

Q: r12 Evaluate the integral e dx dy by reversing the order of integration. NOTE: Enter the eract answe...

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Q: Find the equation of the tangent line of the function. f(x) = 2(x - 4)2 + at (2,8)

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Q: 12 Evaluate the integral dx dy by reversing the order of integration. NOTE: Enter the exact answer. ...

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Q: part 4: "If f and g are continuous at a, then f g is continuous at a."

A: We are asked to prove tha given