yi + yi = 1, when x = 0, y = 4

Q: 1+cos0 lim 0→0- sin@

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

Q: III. For each of the following series, determine whether it is convergent or divergent. Justify your...

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Q: Find the remainder if F(x)=6x^3+49x^2+90x+56 is divided by 3x-3

A: F(x)=6x3+49x2+90x+56 Since 3x-3 is linearwhere 3x-3=0⇒3x=3⇒x=1 Remainder of F(x) when divided by 3x-...

Q: What’s the derivative ? f(x) = xe^-x3

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Q: Two sides of a triangle have lengths 10 m and 15 m. The angle between them is increasing at a rate o...

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Q: (x- 2. A tonk initially contoins 100 galons of brine whose concentration is ½ lb/gal. Brine whose sa...

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Q: 00 (-1)+12" n² +3 Determine the interval of convergence of

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Q: 3.) 124-1|dx Evalnate: dt given taat Ina = 9 Evalmate t

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Q: Find the volume V of the solid S that results when the region bounded by y = x2, y = x, x = 0 and y ...

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Q: Solve the differential equation (D³ – 2D² – 5D + 6)y = (e2x + 3)2 %3D - -

A: To solve the given differential equation.D3-2D2-5D+6y=e2x+32

Q: I Find the second derivative(y") of the following functions and simplify the final results. 1. y = x...

A: Product  Rule of differentiation: du.vdx = u.dvdx +dudx.v dcos(x)dx = -sin(x) dsin(x)dx = cos(x) dxn...

Q: Find the derivative or y'. Show your step by step solution.

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Q: Find the linearization of the function z =/ at the point (-5, 1). L(1, y)

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Q: From Rogawski ET 2e section 8.1, exercise 9. Calculate the arc length of y = - x - In x over the int...

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Q: 5xyz dv, where T is the solid tetrahedron with vertices (0, 0, 0), (1, 0, 0), (1, 1, 0), and (1, 0, ...

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Q: Which of the following integrals represents the area of the surface obtained by rotating the curve y...

A: NOTE: Refresh your page if you can't see any equations. . take derivative the given interval is ...

Q: 3. (a) Suppose y is a differentiable function of r and is implicitly defined by the equation [(2r+1)...

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Q: 1+ cos?v cos?v

A: topic - indefinite integral

Q: Show detailed solution for all. a) Provide the Maclaurin series expansion of f(x) In(3 – 2x)

A: Here we have to find the maclaurin expansion of the given function.

Q: For the function, find any horizontal and vertical asymptotes. (Enter your answers as a comma-separa...

A: Follow the procedure given below.

Q: For the function, find any horizontal and vertical asymptotes. (Enter your answers as a comma-separa...

A: Given query is to find horizontal and vertical asymptot.

Q: 5. S- x+4 -dx xp-

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Q: 8. Use the image below to answer the following. Show your work, but you may use technology to calcul...

A: The centroid of a region R is given by x, y=MyM, MxM, where we have M=∬RdA; My=∬Rx dA and Mx=∬Ry dA ...

Q: X X sin². sin? - cos' ,dx CoS 2 2 2.

A: x2=u → dx=2 duI=2 ∫ sin2u cos7u duI=2 ∫ sin2u cos u cos6u duI=2 ∫ -sin2u cos u (sin2u-1)3 dusin u =v...

Q: Given the triangle below, find sin(0). Enter the answer as a fraction. 17 15 0. 8

A: Find your answer below 

Q: Use the Laws of Logarithms to expand the expression. 5 log2 9t2

A: Apply log rule:  logaxy=logax - logay

Q: Find dy/dx by implicit differentiation. 4. x²- 2xy + y = c 5. x'y + xy² =3x 6. y +x°y =1+ ye?

A: This question is based on differentiating equation both side with respect to x.

Q: dy + 4y = 8 dy d. x- dx = (x – y)² %3D a. dr dy e. da dy + 4y = x? %3D b. = V1+x2 %3D dx dy dy c. dr...

A: This can be solved as follows:

Q: I Find the second derivative (y") of the following functions and simplify the final 1. y = x – x?cos...

A: As per our guideline, we are supposed to answer only the first question, to get remaining kindly pos...

Q: I Find the second derivative (y") of the following functions and simplify the final results. 6. y = ...

A: Topic:- derivatives  Note :- as per our guideline if more than one question uploaded than only first...

Q: 8. Find the longest and the shortest distances from (1, -2) to r? + 2y? = 1. 9. Try to solve problem...

A: Distance formula=Sqrt{(x-x1)^2 +(y-y1)^2} The Lagrange method of multipliers is  F(x,y)=f(x,y)+lamda...

Q: Lesson 13 Find the derivative of the following functions. Show your solution. 1. y = x' cos x 2. y s...

A: This can be solved as follows:

Q: 2ce2x Curves y = 1+ce2x

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Q: A particle moves along the x-axis so that at time t >0 its position is given by x (t) =t² – 10t + 10...

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Q: The angle between the vectors = (6, -2, 3) and 7= (1, p, -2) is cos Determine the value of p.

A: Given:  The angle between the vectors a→=6, -2, 3 and b→=1, p, -2 is cos-1-114. To Find:  To determi...

Q: 1. Find the differential equation for the family of: 1. Circles passing through the origin with cent...

A: Topic:- application of derivatives  Note :- as per our guideline if more than one question uploaded ...

Q: Use the degree 1 Taylor polynomial for f(x) = Vx centred at a = 1 (from question 2) to find an appro...

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Q: ſcos^3 (x) sin (x) dx, For the indicated integral, what would the first step be? * Add one to the po...

A: ∫cos3(x)sin(x)dx here we use substitute method so we have to substitute so lets substitute u = cosx

Q: If x? + y? = 100 and dy 8, find dt dx when y = 6. (Enter your answers as a comma-separated list.) dt...

A: Given that x2+y2=100dydt=8To find :dxdt when y=6Solution:x2+y2=100x=100-62=8x2+y2=100Diffranciate w....

Q: a. Find the derivative function f' for the function f. b. Determine an equation of the line tangent ...

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Q: Write the first-order differential equation in standard form. (Use yp for dy/dt.) dy dt = 7y + ty +...

A: The standard form of a first-order differential equation is dydt+g(t)y=h(t)or, y'+g(t)y=h(t)      .....

Q: Graph the function. Then use the derivative and algebra to find the location of the critical points ...

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Q: B. Compute the derivative function f using the definition of the derivative. Show your complete solu...

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Q: After some thought, you have decided that you will need $60,000 each year to live on after you retir...

A: This is a problem related to simple interest calculation. Based on the general formula of simple int...

Q: Q.1 Find the value of x by quadratic equation 03 formula: 9x 2 + 7x - 4 = 0

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Q: ſ csc' xdx

A: Solution is written in below steps.

Q: Water is leaking out of an inverted conical tank at a rate of 7,000 cm³/min at the same time that wa...

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Q: Use cylindrical coordinates. Find the volume of the solid that is enclosed by the cone z = x² + y² a...

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Q: Determine the convergence or divergence of the following series. 1 (a) ► (Use Integral Test.) n(In n...

A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

Q: cotx da cos I da sin r 3.

A: