Find an equation of the tangent(s) to the curve with parametric equations tsint at the point corresponding to the parameter t = x = tcost, y : = TT

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Q: For each of the following rational functions, determine where the vertical asymptote(s) of the funct...

A: Given: hx=1x2-14x+45   As we know that; To calculate the vertical asymptote, equate the denominator ...

Q: Voter Registration The amount of voters in a city's district should grow at the rate of R(t) = 150...

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Q: 4. Determination of Integrating Factors: Solve the equation y (4x + y) dx – 2 (x² – y) dy = 0 O 2r? ...

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Q: For each of the following rational functions, determine where the vertical asymptote(s) of the funct...

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Q: ydx -(x +3y)dy = 0 Ans. x = 6y In

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Q: 2. 2x Vx-2 dx

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: a) lim x-3 x+1 x2 – 4x + 4 b) lim x-2 x2 +x - 6 y? – 4y – 21 c) lim y-7 3y2 – 17y – 28 t3 +t2 – 5t +...

A: NOTE-Since you have asked multiple question, we will solve the first question for you. If youwant an...

Q: n+2 00 Σ n=0 V2+n 15. 2n 17. 8

A: As per the guidelines  we can answer only one question. If you want to get answer of your other ques...

Q: Use the Riemann sum with n = 2 rectangles to approximate dz. Round to 3 decimal places. A 0.867 0.72...

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Q: Prove the following: sin² 0 – cos² 0 = 1– 2cos² 0 %3D

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: The coefficient of z2 in the expression (a +z)5 is 640. What is the value of a?

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Q: e dx

A: Definite integration

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Q: dx x2 +4x +5

A: Use inverse trigonometry function formula.

Q: 11. Identify the correct mapping rule for the following transformed function: * f (x) = -V-2 (x + 6)...

A: The objective is to identify the correct mapping rule. 

Q: Determine the homogeneity of the following functions x+y/x-y

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Q: Find the indefinite integral. (Remember the constant of integration.) (0.9t2 + 0.08t + 9) dt

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Q: Find the directional derivative of the function at P in the direction of v. V2 f(x, y) = x³ – y³, P(...

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Q: 2. What is the slope of the normal line to the curve 4x2 - 9y2 = 1 at point (3,2) ? a. 3 b. - 8. С. ...

A: Normal at any point on the curve is a straight line that intersects the curve at that point and is p...

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

A: topic - vectors

Q: 6. Using L' Hopital's Rule, find the value of the limit L- lim +1

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Q: (x2 - 4x + 4)4/3 dx -

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Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(3, 2...

A: Directional Derivative, Du f(x,y,z) = ∇f(x,y,z).u ; where , u is the unit vector  .

Q: Obtain the general solution of the following differential equations.

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Q: Profits at The Christmas Store vary periodically with a high of $50,000 in December and a low of $10...

A: Explained below 

Q: Integrating factors y(x^2 + y ^2 − 1)dx + x(x ^2 + y^2 + 1)dy = 0 when y(1) = 0

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Q: 1 dx V1 –x²

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Q: 5. Determine constants a, b, c, and d that will produce a quadrature formula f(x) dx = af (-1) +bf(1...

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Q: x* + x3 x2 +1 플+미2+11+ tan-1 x*C C In x + 1| + tan-1 x +C 3. 쪽-1n x2 + 11 + tan-1x +C D In Jx2 +1| +...

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Q: 1. e (3xy-x)dx+e* dy = 0; when x = 0, y = -1 4 Ans. y =-- 1 3

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Q: III. Derive the following HCA 1. The unity rule: = 18 dx du dx 2. The quotient rule: xp dx

A: f(x)=xDerivative formula:f'(x)=limh→0 f(x+h)-f(x)hf'(x)=limh→0 (x+h)-(x)hf'(x)=limh→0 hhf'(x)=1ddxf(...

Q: Separation of Variables: Solve for y' = yx' O x4 = y In c Ox = cy

A: To solve the given differential equation by separation of variables  

Q: Give The 15T four non zero Term of Mhe Sentes aboufx= %3D

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Q: x(x² +y* )° (ydx – xdy)+ y dy = 0 Ans. (x +y)' = 6y° In

A: Put x/y=p and solve it. 

Q: Use the triangle to find each half angle. 25 24 () - tan () - sin cos 24 24 :: :: :: 1 :: 25 25 7 3/...

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

A: I am attaching image so that you understand each and every step.

Q: What is the derivative of the following? 1. 3x^2 2. -1/2x^2

A: Topic = Derivative 

Q: 9i+ 3 j u + v =

A: ||u||=8, θu=00||v||=2, θu=600

Q: Find the gradient of the function at the given point. g(x, y) = 18xe"/x, (3, 0) Vg(3, 0) =

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Q: the edge of a tablecloth. The fringe comes in 5. Leslie needs 324 inches of fringe to put around of ...

A: one jar make 26  so 4 jar make = 26*4 = 104 cup    1 yard = 36 inch 10 yard = 360 inch leslie requir...

Q: Give The 15T four nunzero Term ot MeSertes aboufx=625.

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Q: How can rearranging the order of terms in an infinite series be different for an absolutely converge...

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Q: Solve. 1. Find the area of the region between the function f(x) = 4x + 1 and the x– axis on the inte...

A: Note :As per our guidelines we are supposed to answer only one question if there are multiple questi...

Q: Find an equation of the plane with the given characteristics. The plane passes through the points (5...

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Q: Find the exact value of the cos 75° using a half-angle formula. cos 75° = 2+V3 :: 2-V3 :: 2-V3 VV3-2...

A: Let's find.