Practice Problems: Differentiate the following: (2³ + 4)° y = (1 – 2æ²)³ 3 3 2t +3 h(t) = 6 – t2

Q: f(x, y) = x + xy + y. P.(-1,1) Ans. u= (D.f), = VZ, (D„f), =-/2

A: Since the problem is lengthy, iam only allowed to solve the first problem.

Q: If 0 is an angle in standard position and its terminal side passes through the point (-5,-6), find t...

A: Here, the given angles terminal side passes through the point (-5,-6) is given.

Q: 3rd term of gp is -108 6th term of gp is 32. Find 1st term

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Q: 17-20 Express the limit as a definite integral on the given interval. x* Ax, [1,3] (x) +4 20. lim E

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Q: 1. A pane of tinted glass reflects half the incident light, absorbs one-fourth of it, and transmits ...

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Q: Evaluate the given indefinite integral. Indicate u, n, and du. xdx V3-x

A: Given, The indefinite integral ∫xdx3-x We have to evaluate the integral.  

Q: The graph of y = f(x) is in the figure below. Does the function f(x) appear to be continuous on the ...

A: Given the graph of y=f(x) is

Q: Evaluate the integral below using any appropriate algebraic method or trigonometric identity. T/3 1+...

A: Solution: ∫0π31+4sinθcos2θdθ

Q: Find the derivative of the function at P, in the direction of A f(x, y) = 2xy-3y, P(5,5), A = 4i+ 3j...

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Q: d the absolute maximum and the absolute minimum of the function f(x, y, z) =

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Q: Let r (t)= - The x component of r' (-1) =

A: r'(t)=<2t,3,5> r'(-1)=<-2,3,5>

Q: Car B is 30 miles directly east of Car A and begins moving west at 90 mph. At the same moment car A ...

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Q: 5. By using separable differential equation, solve the initial-value problem 2x(y + 1)dx -y dy= 0, w...

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Q: In a class of 210 students, 60 students drink coffee only, 100 drink tea only and 180 drink either c...

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Q: Sketch the Surface z./4-x* and verify that fay -lyx.

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Q: Fin x when sinx=√3/2

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Q: Let T(t) be the temperature (in °F) in Phoenix t hours after midnight on September 10, 2008. The tab...

A: The meaning of T'(6) is that it is the rate at which the temperature is changing at 6:00 AM

Q: In 1993, the moose population in a park was measured to be 3960. By 1998, the population was measure...

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Q: Human blood can contain the A antigen, the B antigen, both the A and B antigens, or neither antigen....

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for x2 - 8x - 5 dx ...

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Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving...

A: We have to find volume

Q: Find lim f(x) for the given piecewise function. 2x +3 if x 6 If the limit doe not exist, enter DNE.

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Q: We'll now apply the integration by parts procedure to the new integral e70 cos(80) d0, letting U = c...

A: The given integral,∫e7θ cos(8θ) dθ

Q: Which of the following is/are signified by lim f(x) = o0? As ¤ approaches a, the value of f(r) incre...

A: The meaning of the given limit is- 1) As x approaches a, the value of f(x) increases without bound. ...

Q: Evaluate the following integrals where n 0,1,2,... n even 1) sin(nx)dx Ans. 2/n n odd 2) Jasin(nx)dx...

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Q: The median home value in Missouri and Connecticut (adjusted for inflation) are shown below: If we a...

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Q: Compute the Taylor polynomial T5(x) and use the Error Bound to find the maximum possible size of the...

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Q: dx (iii) f 1 dx sinh x (iv) S (x-3)Vx²-6x+8

A: LetI=∫1sinhxdxUse the Hyperbolic identity:  1sinhx=cosechxUse the common integral:  ∫cosechxdx=lntan...

Q: Find the volume of the solid whose base is the region in the first quadrant bounded by y = x°, y = 1...

A: We have to determine volumes of solid

Q: 2. A closed cylindrical tank is to be made with a fixed volume. Find the relative dimensions of the ...

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Q: Determine the work to empty a parabolic tank filled with water which can be seen as the rotation abo...

A: Given that y=15x2 and 0≤x≤2 We have to find the work to a empty a parabolic tank filled with water w...

Q: Newton's Law of Cooling. A cup of hot coffee has a temperature of 193 °F when freshly poured, and is...

A: To find out the initial value problem.

Q: Given the following piecewise function, evaluate f(2). 2x x < -3 f(æ) = -3x +1 -3 <x<2 22- 2 %3D Do ...

A: Find f(2)

Q: In 2002, a school population was 949. By 2007 the population had grown to 1764. 1) How much did the...

A: Given In 2002, a school population was 949. By 2007 the population had grown to 1764. Now we will fi...

Q: what is the minimum perimeter that a rectangle with an area of 32 ft2 can have?

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Q: Determine the force due to hydrostatic pressure on the flat vertical side of a tank which has the sh...

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Q: Find the point in the parabola y2 = 4x at which the rate of change of the ordinate and abscissa are ...

A: Parabola is  y2=4x Differentiate the above equation with respect to t ⇒2ydydt=4dxdt. Since  dydt=dxd...

Q: Consider the following expressIon. eth- 1 (a) What is the result when we substitute h = 0? eth When ...

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Q: In x /1+ (In x)² -dp-

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Q: Find the derivative of the functionf(x) = (2 – x*)

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Q: Use the Linear Approximation to estimate Δf for f(x)=3/(2+x^2) when a=2 and Δx=−1/2. (Use decimal no...

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Q: Find a parametrization of the line in which the planes x + y +z= 3 and y +z = 2 intersect. Find the ...

A: The given planes are:x+y+z=3 and y+z=2

Q: Differentiate 3x² /(x – 1)* with respect to x.

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Q: F1/2 1/2 Find the formula for the graph of the function f(x)ghven in the graph above. S(x) = 7-5cosx

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Q: 3rd term of gp is -108 6th term of gp is 32 find common ratio

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Q: -[(-) dx. v> 0. Prove that I(v) =

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Q: State whether the function is a polynomial function or not. If it is, give its degree. If it is not,...

A: We have to find equations for given conditions.

Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving...

A: We have to find volume.   According to Bartleby guidelines , we can solve only one question so pleas...

Q: An electrician leans an extension ladder against the outside wall of a house so that it reaches an e...

A: Height of electric box from the ground:  28 feet Ladder makes an angle of 60°  with the ground.

Q: B/ Solve the linear equation below by using Cramer method check your answer. x + y+z = 6 x+ 2y + 3z ...

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