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A: Solving the problem by finding the derivative of the function.

Q: Hemagenaus nous y+ X

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Q: 12. Evaluate: 212 – 3/ī +1 dr (4) / (e) /: (a)/2 sec (20) de | rVr-1 dr (b) dr 16+9r2 sin t dt cos?…

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Q: Use the form of the definition of the integral given in this theorem to evaluate the integral. dx

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Q: dt 4. Solve the initial-value problem dx = -2x – 2y dt dy = -2x + y, dt where the initial condition…

A: To find the solution of the given system of differential equations.

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A: Given query is to find the equation of the line.

Q: blem #1: Differentiatef (x ) = [(4 x4 -5 )(3 x2-9 x - 5 ) ]3 and solve f (2).

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Q: 3. a) Describe the translations applied to the graph of y= x² to obtain a graph of the quadratic…

A: The given quadratic function g(x)=3x+22-6

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Q: An emply container is filled with liquid. The height of the liquid in the container is x cm and its…

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Q: dx 3. I 32x 4. J sin x tan x dx dy 5. J gy²+6y+5

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Q: Find the general solution for the given differential equation. dy dx

A: To find the general solution of the given differential equation.

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A: ∫un du = un+1n+1+C.

Q: Determine an equation of the inverse of the function y = 5x + 2. A. y= x+ 2 X- 2 С. %3D B. y= 5x- 2…

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Q: Find the equation of the tangent line to the graph of the functionf(z) sin (3,/7) at the point…

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Q: Evaluate the integral by interpreting it in terms of areas. (10 – 5x) dx Need Help? Read It Watch It

A: Please see the answer below.

Q: 1 dx (x + 1)2 -2

A: We have to determine whether  ∫-2o{1/(x+1)2 }dx  is convergent or divergent.  Let I =  ∫-2o{1/(x+1)2…

Q: Please

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Q: Problem 3 T A. N is rotated 3n radians. Mark the point where it is located as A. YA B. N is rotated…

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Q: In Exercises, the given vectors form a basis for a subspace W of R or R'. Apply the Gram-Schmidt…

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Q: Use the form of the definition of the integral given in this theorem to evaluate the integral. 7x dx…

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Q: If you can, please draw the grafic of this exercise

A: This question can be solved using the concept of drawing parametric curves.

Q: 10 14 18 22 26 30 f(x) -13 -5 -1 1 5 7 30 Use the table to find lower and upper estimates for f(x)…

A: x 10 14 18 22 26 30 f(x) -13 -5 -1 1 5 7 By using the above table to find lower and upper…

Q: se part one of the fundamental theorem of calculus to find the derivative of the function. g(x) (x)…

A: We have to find derivative

Q: separable 2

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Q: 1. Use deductive reasoning to show that the following procedure produces a number that is equal to…

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Q: A tank of water in the shape of a cone is leaking at a constant rate of 2 m hr. The base radius of…

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Q: kindly answer immediately, thankyou somuch 1. At the critical point (i.e., maximum or minimum…

A: Critical points of a function y=f(x) is calculated by taking          dy/dx =0 Therefore at critical…

Q: solve

A: We will solve the integral.

Q: The function (8 , 0 5 has the following Laplace transform, L(f(t)) = 8 f° e-st dt Select one: O True…

A: We have to find the Laplace transform of the given function.

Q: The position of a particle in the xy-plane at time t is r(t) = (t - 1) i + ( - 2) j. Find an…

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Q: Find the area of the region bounded by the graphs of y2 = 4x and the line 2x – y = 12

A: answer is in next step

Q: A rectangular garden is to be fenced off along the side of a building. No fence is required along…

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Q: Find the measures of the angles of the triangle whose vertices are A = (-1,0), B = (2,1), and C= (2,…

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Q: Learning Activity 2: Matching type: Match the functions in Column A with their corresponding…

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Q: I need answer within 20 minutes please please with my best wishes

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

Q: 3:) Consider the function g defined by g(x ,y) - cos ( TX VG) + loga (x-y) 3 (6) calculate the…

A: The function g(x,y) is defined byg(x,y) = cos(πxy) + 1log3(x-y)=cos(πxy) +…

Q: (a) Determine the extrema of the function over a one-year period. (t, R)- March relative minimum…

A: answer is in next step

Q: Use the root test to determine whether the series 7n -n-2\" 3n2 +n+ 4 converges or diverges. Since…

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Q: d*y For a certain curve =-6x +2. Find the equation of the curve if it passes through the point…

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Q: Find an equation for the conic that satisfies the given conditions. ellipse, center (-3, 3), vertex…

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Q: Evaluate the integral f x2 dx V36–x² using trigonometric substitution. Note: Use C for an arbitrary…

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Q: Problem #2: Differentiate f(x) = [(3x* – 5)(2x³ + 9x – 6)] and solve f '(2).

A: We have to find the solutions

Q: Graph each parabola. Identify the vertex, focus, directrix, endpoints of the latus rectum, and the…

A: The given equation is: y2-12y-16x-28=0⇒y2-12y+36=16x+28+36⇒(y-6)2=16x+64⇒4(4)(x+4)=(y-6)2 which is…

Q: Match each of the Maclaurin series with the function it represents. (-1)"22n+1 2n + 1 (-1)",2n (2n)!…

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Q: y 3 to 2.

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Q: Basic Coatalus 1. f(x) - f(xth) = 5(x +h) - 3 Sx - 3 lim 5(x+h)-3 [5x-31 56 +5h -3 - 5% +½ 1. lim…

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Q: 1. S Vcos 20 sin 20 d0 x²-x 2. S- dp- (x+1)

A: To  evaluate the integral.