3(w-5) 2(w-2) 20. w+1 21. Solve for r: D=rt 22. Solve for W: P=2L+2W

Q: Let f(x)= -6x^4+8x^3+72x^2 a) The critical number of f are x= b) The values of x for which f has a...

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly re...

Q: x^2y=4+Cy Eliminate Arbitrary Constant

A: Here we will eliminate arbitrary constant,  

Q: .A: The integral of the following function: In(sin² x) dx tan(x) ay be expressed as: A In®(sin x) + ...

A: Topic:- integration

Q: Find an equation of the tangent line to the curve y² = x³(3 – x) (a piriform) at the point (2,2/2). ...

A:

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

A:

Q: 94. Air Pollution The amount of nitrogen dioxide, a brown gas that impairs breathing, present in the...

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Q: Finding the area of a surface of revolution. Area of a surface of revolution for y = f(x). Let f(z) ...

A:

Q: S The graphs of the polar curves r1(0) = cos 0 and r2(0) = 2 sin 0 are shown in the figure above. (a...

A: The given curve are: r1θ=cosθ       and       r2θ=2 sinθ

Q: Sketch the region bounded by the graphs of the equations and find the area of the region. y = cosx, ...

A:

Q: y°dx-(xy + y° \dy = 0 Let the substitution v=2; y=Vx; dy=vdx+ xdv

A: y2dx=xy+y2dy

Q: Consider the following curve. y = 3x2 13x + 1 Find the slope m of the tangent line at the point (5, ...

A: We have to find tangent line

Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at x = 0 for f(x) = sin(x). (Use symbolic ...

A: We will find the T2(x) and T3(x) for the given function.Below find the solution in the image.

Q: 1. cos x |? ecosx sin xdx

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: f(x) = 2x2 + 10, g(x) = 4x + 16

A: Sketch the curve f(x) and g(x) in same phase

Q: 4) y -2sin x, y=-2cos x, X -- 6' 6.

A: Since you have posted multiple question in this question which re not interlinked so i have solved f...

Q: Consider the function as representing the value of an ounce of palladium in U.S. dollars as a functi...

A:

Q: Suppose that the cost, in dollars, for a company to produce x pairs of a new line of jeans is C(x) =...

A:

Q: Find the volume of the solid obtained by rotating the region bounded by y = x – x^2 and y=0 about th...

A: Given query is to find the volume of the solid generated. First we will find the intersection points...

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: Find

A: An antiderivative is a function that reverses what the derivative does. One function has many antide...

Q: х - у ·+1 х+у y 2. ||

A:

Q: II. Solve for the derivatives implicitly. 42 y-2x = 2 +4y³. + 4y³. =1 5. 6.

A: We can differentiate the derivative implicitly as below

Q: 3. ydx – 2xdy = y°cosydy when y(1) = 0 %3D

A: Given          ydx-2xdy=y3 cos y dy        ydx-2xdy-y3cosydy=0 i.e.,  ydx-2x+y3cosydy=0      M=y,   ...

Q: 2e*dx where e = 2.7183 %3D

A: Given: I=∫012exdx   As we know from the integral; ∫a·fxdx=a·∫fxdx, where 'a' is the constant. And ∫e...

Q: (2xy – tany)dx + (x² – xsec³y)dy = 0; y(1) = =

A: Given:

Q: Length of a Curve Find the length, L, of the curve given below. 6t4 – 1 dt, 2 < a < 3 2 L

A:

Q: Question 21 Give the coordinates of the vertex with focus at (1,2) and a directrix at y=8. Blank 1 B...

A: Given , The directrix is at y = 8 , focus at (1,2).  

Q: Find the set of points satisfying the equation in the complex variable z: |z* + 2i| = |F(z – 3i)| wh...

A:

Q: 1. Let A, B and C be the vertices of a right triangle in R with hypotenuse BC. Let D be the point on...

A:

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

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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: Q/ Find the domain and range of the following functions メー」 y= 2y= メ+ 3+13 メー/3 3- 1,

A:

Q: Let f(x) = 8- 4x + 3x. Calculate the following values: f(a) =| f(a + h) =| f(a + h) - f(a) %3D %3D f...

A: Topic = Functions

Q: B: Evaluate the integral: TUTO (x + 1)-/2 (x – 1)5/2

A:

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

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Q: Students in a zoology class took a final exam. They took equivalent forms of the exam at monthly int...

A: Given:The average score in percentage is given by:

Q: Prove the identity 1÷(1-sinx) =sec^2 x +tanx secx

A: 1(1-sinx)=sec2x+tanxsecx

Q: Find the equation of the line through the points (,-2) and (-4,-1). Write your answer in the form y ...

A: We need to find equation of line.

Q: 0.2 0.4 0.6 0.8 1.0 (sec) s (ft) 0. 0.5 1.5 4.0 6.4 9.6 (a) Find the average velocity over the inter...

A: Given that:                          

Q: y''=-4cos(2x)+2sin(2x), Eliminate Arbitrary Constant

A:

Q: f(x)=10/17sqrt(6x2+2x+6) =10(6x2+2x+6)

A: The given expression is: f(x)=10176x2+2x+6=106x2+2x+6

Q: Evaluate the definite integrals using properties of the definite integral and the fact that 4. 4 Lfe...

A: given : ∫-52f(x)dx=-3 , ∫24f(x)dx=8 , ∫24g(x)dx=8(a) ∫-5210f(x)dx=10∫-52f(x)dx=10×(-3)=-30 ∫-5210f(x...

Q: 3. Determine whether the following function is odd or even. a) f(t) = t² + 2t + 2 b) h(x) = 5x7 +1 c...

A:

Q: ++dy=e' dy A True B False

A: topic - exponents and integration

Q: Find y''' of: y=4cos(x/2)+3x^2

A:

Q: Let f be a differentiable function. If f(60) = 378 and f'(60) = 6, use a linear approximation to est...

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Q: Solve the homogenous differential equation.

A:

Q: 1. Estimate the limit of the signum function s(x) as x approaches zero from the right. (-1, x0

A:

Q: (I-) = 2- VT-I (b) i) Compute lim- ii) Hence prove the limit in i) above by -ố definition. 2

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Q: What is the center of the circle with the equation: x² – 10x + y²=- 9? Blank 1 Blank 1 Add your answ...

A: