ydy 3. Jo (a2 – y2)z

Q: 3x2 – 2x – 8 - Let f(x) 3x2 – 11x + 6 - This function has: 1) A y-intercept at the point 2)…

A: Simplify the function using definition of asymptote.

Q: 12. Consider the region R bounded by the line y = 37 – 7x and the parabola y = 27 – x² . %3D Find…

A:

Q: 1. For the curve x²y? = 25 at (-1,-5), find the equation of the normal line. %3D

A:

Q: 1 lim, „(e* + x)÷ +00

A: Explained below

Q: An airplane flying at an elevation of 3,500 ft., directly above a straight highway. Two motorists…

A: Let d be the distance between the two airplanes

Q: 4. 7. Suppose f(x)dx = -6, f(x)dx 6, and g(x)dx = 2. Evaluate the following integrals. 2 ... Jgndx =…

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Q: Using your knowledge of calculus find (and also show that it is) the vertex of a general parabola…

A:

Q: Two posts, one 8 meters high and the other 12 meters high, stand 15 meters apart. They are to be…

A:

Q: 1. S x(x2022+1) dx

A: The given problem is solved below in detail.

Q: Sda = In|a| +C and S da = In|a°|+C. In|x2|+ C. Sæ" dx xn+1 +C, for any real number n. n+1 If f(x)…

A: 1.∫1xdx=lnx+c is true. We know from integration formula.  2. ∫1x2dx=∫x-2dx Solving the integration…

Q: Use the differential to approximate the expression. Then use a calculator to approximate the…

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Q: Find the equation of the vertical asymptote and the equation of the slant asymptote of the ration…

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Q: Find the derivative of the function at the given point in the direction of A. f(x.y,z) = In (x…

A: Solved below.

Q: A long metal sheet with a width of L meters is formed into a gutter by bending up two of its sides…

A:

Q: dy Find for y = tan-(3z) de Ans=

A: A detailed solution is given below.

Q: A ball is thrown upward from a height of 0.1 m at an initial speed of 36 m/sec. Acceleration…

A: Find your answer below

Q: 3- A box with an open top is to be constructed from a square piece of cardboard, 3m wide , by…

A:

Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

A:

Q: 12. Let y = 4x-4x+3. %3D (a) Find the equation of the tangent line to the graph of the function at…

A: Solve the following

Q: B. Integrate the following using the basic rules of integration and substitution. 1. fx2 +5x-x-3 dx…

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Q: Using chain rule, find the derivative of the hyperbolic functions: f(x) = tanh(4x) f (x) = In…

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Q: Evaluate the following integrals. 4x545 2. 3. fx Vr? - 4dx 4. S(2- sin 4r) dr

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly re-post other…

Q: If the differential equation ydx+xdy= 0 is being solved, what is the geometrical figure represented…

A: Differential equations

Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all…

A:

Q: Find the linearization of the function f(x, y) = V61 – 3x2 - 1y? at the point (4, 2). %3D L(x, y) =

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Q: D) 1. Which of the following is the antiderivative of f(x) = x' + x +1? A) 3x +2x + C C) x' + x +x +…

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Q: Find by implicit differentiation. dx x 6x + 7y = 8 dx

A: we have to find the derivative

Q: Evaluate the integral x(x® –4) dx 1. O 1 10 (xº – 4)" +C 50 O 1 +C 60 10 +C 10 x° ( x7 -4x +C 6 7

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Q: Evaluate d:/dx on the surface x: + + x²y®=² = 3 at the point (1, 1, 1).

A:

Q: I need help with g(18).

A: Here we have to find the value of g(18)

Q: limn→∞ √n = ∞

A: Given :limn→∞ n

Q: nd dy/dx and dy/dx2. For which values of t is the curve concave upward? a = t + 1, y = t² – t

A: A detailed solution is given below.

Q: Solve the triangle. Round your answers to the nearest tenth. а %3D 23, с %3D 29, mLB %3D 102° mLA =…

A:

Q: Use the Quotient Rule to compute:

A:

Q: A cylinder (round can) has a circular base and a circular top with vertical sides in between. Let r…

A: Given problem:- A cylinder (round can) has a circular base and a circular top with vertical sides in…

Q: 21 (e) If(x)| dx (f) f(x) dx 16

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Q: A piecewise function is given. Use the properties of limits to find the indica fix) if x 3 5. if x-3…

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Q: Evaluate the difference quotient fla+ h) - fla) for the function f(x) = 6x. 1

A: Given  f(x) = 6x  We need to find the difference quotient  f(a+h) -f(a)h…

Q: Solve the system by the method of substitution. (If there is no solution, enter NO SOLUTION.) ** =…

A:

Q: エ→2 x² -4 1- cos 2x 7) lim X sin x エ→0

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

Q: Express the limit as a definite integral on the given interval. [4(x;")3 – 4x;1Ax, [2, 7] lim i = 1…

A: Solve the following

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | sec?(e) tan°(e) de…

A: Consider the integral  ∫sec2θ tan9θ dθ

Q: evaluate the integral - sin (x) dx (x) 1- sin |3|

A: The given integral,      ∫sin(x)1-sin2(x)dx

Q: Determine if the infinite series is convergent or divergent. Σ n=13n+1

A: The given series,     ∑n=1∞n3n+1

Q: Barbados A cruise ship maintains a speed of 5 knots (nautical miles per hour) sailing from San Juan…

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

Q: lim x⟶0−        f(x)= B) lim x⟶0+         f(x)= C) f(0)= D) Determine whether the function f is…

A: We have to find the limit

Q: Given f(x) =x2- 1, find the value f(p).

A: Given: f(x)=x2-1

Q: dy Use implicit differentiation to find dx 2x - 3 5y? 2x +3 dy dx

A:

Q: Analyze the given figure and determine whether each statement is True or False. 1. If OX-PQ, OY- RQ,…

A: 1. True 2.True 3.True

Q: The marginal cost for printing a paperback book at a small publishing company is c(p) = $0.015 per…

A: