5 The function f (x, y) =| x² cos² is homogenous in x and y of degree,

Q: Setup the integral that will give the area of the surface generated by revolving the curve g(y) = 2/...

A: Given curve g(y)=24-yWe need to calculate the area of the surface generated by the curve g(y) over t...

Q: 2. Let R be the region bounded by y = 4x – 2x²,y = x. Provide an accurațe graph of the functions abo...

A: Given query is to find the draw the graph and then find intersection points and area of the region b...

Q: By using substitution method, evaluate: (a) dx (e3x+x3)3 (In x) dx (b) 4x

A: To evaluate the integral.

Q: Find the projection of b = 5i – k onto à = i+ 2j+ 3k. %3D

A: We have to find the projection of →b on →a

Q: Disagree 3. If f(a) is undefined, Agree. then lim f(x) does not exist. Justify: Agree. Disagree 4. I...

A: As per our guidelines answer first three subpart of a multi part question. So please resubmit the re...

Q: Solve using homogeneous differential equation y'dx- (xy + y° kty = 0 Let the substitution y=? 2; y=v...

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Q: Setup the integral that will give the area of the surface generated by revolving the curve f(1) = ov...

A: Follow the procedure given below.

Q: P3.A: Find the area bounded by the curve y = (X 2)(x+ 1)(2x - 1) and x-axis.

A: Given curve is y=(x-2)(x+1)(2x-1) area between curve and x axis is required to find.  

Q: For what Values Of X IS tne wing geommetric series convergent? 1++ 27 1) x>0 2) -1<x<1 3) -3<x<3 4) ...

A: Topic:- series   

Q: Pescribe how the graph of the function g(x) = - x can be obtained from the basic graph. Then graph t...

A: f(x) = xmultiply  by 1414f(x) =14 x      ( Vertical Shrink by 14)now multiply by (-) sign -14f(x) =-...

Q: Find the equation of the line tangent to the graph of f(x)= (In x)2 at x= 3. y%3D (Type your answer ...

A:

Q: 1. A function f(x, y) is homogeneous of degree 7 in x and y if and only if, 5x'-2y 8x +3y 2. The fun...

A: Solution ) A function f(x,y) is homogenous of degree 7 in x and y if and only if f (kx , ky ) =k7f(x...

Q: Find the derivative of f(x) =-2/- Type your answer without fractional or negative exponents. Use sqr...

A: Let's find. 

Q: х ах 2(5+x²)4

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Q: sin² 3y 5. ye 3^cot3t

A:

Q: Suppose the cost of producing bananas is given by the differntial equation: dC/dx = 26/x + 45x whe...

A: The cost of producing bananas,dCdx=26x+45x

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis. Ma...

A: Use component form for the vector and use the given value 

Q: 14х10+8 еx F (x : 4 x' + 13

A: Given: fx=14x10+8ex4x+13

Q: What is the equation of the directrix of the parabola X+2x+4y-27=0 2

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Q: S 4- e-2) cos(e- + In z) dz

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Q: One the first day of class, a professor asks each student what country they are from orginally. What...

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Q: Find the limit, if it exists: (Do not use L'Hospital's rule) (V42 lim 4x2 4а* + 16х V + 20 Note: Giv...

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Q: Write an expression for the distance w in terms of x. - 2y +1

A: Topic:- geometry 

Q: A man, 1.59 m tall is walking on a horizontal street at 2.5 kph away from a vertical street light, 2...

A:

Q: 6. radians 7. radians 8. radians 2 3n radians 9. 10. 2n radians Example: -135' (OD)

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Q: Find a set of parametric equations for the tangent line to the graph at t = t0. (Enter your answers ...

A: The given question can be solved as shown in step2.

Q: Integrate the function f (x, y) = 3xy over the region bounded by y = 32x2 and y = √x

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Q: 3sin4t dt 2. 5(1- 3cos21)

A: We have to find integral

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

A: To evaluate the given limit.limx→∞ ex+13x1x  

Q: Find the limit lim 14,cos(, 18z Note: Give the exact answer but not the decimal approximation (for e...

A: Given:   limx→0+x14 ecosπ18x

Q: 16 9. 4 in

A: As we know that; The sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule: ∫ax+bndx=ax+bn+1an+1+C ; n≠-1 An...

Q: y'dx- (gy + y* }ty = 0 1. Let the substitution v=2; y= vx; dy=vdx + xdv

A: We have to find solution of given differential equation.

Q: A wound is healing in such a way that t days since Monday, the area of the wound has been decreasing...

A: topic - application of derivatives

Q: Find the point(s) on the parabola x =y closest to the point (0,3)

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Q: x*dy+ (2xy – y³ ktx = 0 Let the substitution v=2; y= Vx; dy=vdx+ xdv

A: Topic:- differential equations

Q: fre x'e*dx

A: Given: ∫0∞x2e-xdx

Q: 49x2 – 75x 19- 4x - lim X -00 86x +7

A:

Q: Зx+2 2. Perform the indicated function evaluations for f (x) = 2x+3 a) f(-4) b) fE) c) o) f(-) e) f ...

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Q: 4- y 2- 4 10 12 -2- -4 (a) I f (2) da = 10 (b) f (x) dx = 12 (c) A f(2) da = -5

A: To solve the following problem

Q: Which of the following is not true? (A) - |f(x) dx- J8 (x) dx B) 8 (x) dx C) (x)dx=k (D) O fas(3))dx...

A: some properties of the integration are given, we have to find the not true statement.

Q: Suppose that for each i such that 1 <i<N one has / f(1)dt = i Ji-1 What is / f(t)dt if N = 87?

A:

Q: Consider the following differential equation. y"-y'-30y 0 Verify that the functions .-5x and 6x form...

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Q: cos(- 18x 14 COS Find the limit lim a Note: Give the exact answer but not the decimal approximation ...

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Q: "J-Hope" PROBLEM SOLVING A bacterial population Z is known to have a rate of growth proportional to ...

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Q: Find the centroid of the region bounded by the gi 1 y = 0, x = 1,x = 3 %3D %3D

A: Given:y=1/x ,y=0 ,x=1 and x=3 Find: the centroid of the region bounded by given curves.

Q: 4 x2-4 xp

A:

Q: Given the function f(x) = 3z2 - 3z- 3 find the following. (a) the average rate of change of f on [2,...

A: We will find the average rate of change of function for the given condition.Below find the solution ...

Q: For h(t)=-6t+7, determine h-1 (4). Show all steps pf your calculation please

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Q: f (t) = 2 (sinh t) (sint)

A: The given function is: f(t)=2sinh(t) sin(t)

Q: Let an be then th digit after the decimal point in 3T + 7e. Evaluate Ean(-1)". n=1

A: This is a problem related to sequence and series part. based on the general formula available for ge...