j. y = 5ln(x²+4)

Q: olve. 0= p4-625=0 (Simplify your answer, including any radicals and i as needed. Use integers or…

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Q: The plane containing the point (2,-3,1) and parallel to the plane 4x + 8y - 4z = 3 has equation…

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Q: Find a linear approximation y = f(x) = x5 − 4x² + 4x³ − 12x² + 21x − 6 to the following function at…

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Q: 2 ppose that the Celsius temperature at the point (x,y,z) on the sphere x² + y² + z² = 1 is T =…

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Q: A third-order homogeneous linear equation and three linearly independent solutions are given below.…

A: Write the particular solution and use initial value to find the unknown.

Q: Graph the following function using transformation techniques. p(x) = 1/2x²

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Q: -X Find the equation of the tangent line to the graph of f(x) = x³e-ª at x = 0.

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Q: Which of the following functions have 3 in their domain? (Select all that apply.) x - 3 ☐ g(x) X =…

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Q: m/s.

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Q: The regular price of a pair of jeans is x dollars. Let f(x) = x - 15, where frepresents the price of…

A: Given: Let f(x)=x-15, where f represents the price of the jeans discounted by $15. Let g(x)=0.8x…

Q: iven f(x)=-x²+6x²-9x+4 Find the locations of all local maxima and minima using the second derivative…

A: Given f(x)=-x^3+6x^2-9x+4

Q: Find the domain of the function. (Enter your answer using interval notation.) Note: If more than one…

A: Given:

Q: The graph of y = f(x) has the following features: • lim f(x) = 0 148 lim f(x) = -4 8178 • lim f(x) =…

A: According to the question  As in question four different limits is given in question.

Q: brothers, Mark and Brian, each inherit $39000. Mark invests his inheritance in a savings account…

A: Given query is to find how much money Brian have.

Q: rite the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer…

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Q: f(x) = 1+x² Compute f(x) f'(x) f"(x) f""(x) f(iv) (x) = f(¹)(x) = = = = = ✔ f(x) = Σ k=0 f(0) ƒ'(0)…

A: The given function is  f(x) =11+x2 To find all the derivatives we here use the quotient rule of…

Q: Plot the point with the given polar coordinates. (4, -12) O O O O Sm - 7x 6 7x 6 5m 7x 6 22 7x 6 53…

A: The given coordinate is r,θ=4,-1112π That means at radius 4 we need to plot the angle which is in…

Q: Select the best term or phrase. (a) f'(x) is positive, if f (x) is ---Select--- (b) If f (x) has a…

A: a.  f'(x) is positive, if f (x) is increasing.

Q: du dt el.3t-3.1u, u(0) = 3.8

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Q: Find the radius of convergence for Σ(-12, 2012

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Q: f(x) = 1 1+x² Compute f(x) f'(x) f"(x) f""(x) f(iv)(x) = ƒ(v)(x) = = || = = = We see that for the…

A: Please see the below picture for detailed solution.

Q: Are the following functions strictly convex, concave or none of the above? Explain your answer. (a)…

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

Q: Find a parametrization for the line segment beginning at P₁ and ending at P2. P₁(6, -5, 3) and P₂(0,…

A: Here we have to find the parametrization of the line segment.

Q: Consider the surface f(x,y,z)=e-3-4y-142-1=0, which may be regarded as a level surface of the…

A: Given surface is w=f(x,y,z)=e-3x-4y-14z-1 and the point P(2,2,-1)

Q: A manufacturer has determined that the marginal profit from the production and sale of x coffee…

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Q: K- Solve the problem. The function defined by P(x)-1007 approximates the atmospheric -0.0001261x…

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Q: Monica has recently inherited $8900, which she wants to deposit into an IRA account. She has…

A: The given data is: P=$8900r=5% (account 2)Time t=5 years  To find: How much would Monica's balance…

Q: The distance of a swinging pendulum from its resting position is given by the function d(t)=…

A: d(t)=3.5cos(5t)we know the maximum value of cos fuction is 1

Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: Given:C(t)=3e-0.4t-e-0.6t   We are required to find The maximum value of the function during the…

Q: Find the domain of the function. (Enter your answer using interval notation.) X f(x) 64 x²

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Q: The marginal profit of a product is given by P'(x) = 9 -0.073e0.2x dollars per item, where x is the…

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Q: Determine the intervals where the graph of the given function is concave up and concave down.…

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Q: Use Definition 7.1.1. Definition 7.1.1 Laplace Transform f(0) = { - 1/1 -1, 1, Complete the…

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Q: Use the function to evaluate the indicated expressions and simplify. f(x) = 4x² + 5 f(x + 2) = f(x)…

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Q: X= 16x +31x²2 =2 (Simplify your answer, including any radicals and i as needed. Use integers or…

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Q: The position of an object (in metres) is given by the function s(t) = 4x² − 3x + 7. Use a table to…

A: The position of an object (in metres) is given by the function s(t) = 4t^2-3t+7. Use a table to find…

Q: Consider the function f(x)= x3 7x² + 2 List the a values of inflection points of the function f. If…

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Q: What is the amplitude of the function f(x) = -8.2 sin (3.8) +6.7? Enter your answer in the box.…

A: Given equation:- fx=-8.2sinx4-3.8+6.7

Q: When a new product is advertised, more and more people try it. However, the rate at which new people…

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Q: 1.) Find an f(x) = x2 #t equation for the tangent at x=-2 * line to

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Q: Let f(x) = -x42x³ + 8x + 7. (a) Find the interval(s) where f(x) is concave up. (Enter your answer…

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Q: x(t) = -2- 6t Find a plane through the point (-6,-6,2) and orthogonal to the line y(t) = -5 + 3t…

A: Note : according to our guidelines i can solve only first question please reroute the remaining one.…

Q: Find the distance from the point (-4,-3,-7) to the plane 2x + 5y + z = - 48.

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Q: Consider the equation. f(x) = 3x² at (-2, 12) (a) Find an equation for the tangent line to the graph…

A: Here we have to find the equation of tangent and normal line.

Q: Approximate 191/4 using the Linear Approximation L(x) of f(x) = x¹/4 at a = 16. (Use symbolic…

A: Given: f(x)=x14, a=16 As we know that equation of tangent line is given by: y=f(a) + f'(a)·(x-a) Now…

Q: A nonhomogeneous differential equation, a complementary solution yc, and a particular solution y,…

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Q: The regular price of a pair of jeans is x dollars. Let f(x) = x-20, where frepresents the price of…

A: given  f(x)=x-20, f represent price of jeans discounted by $20g(x)=0.7x, represent price discoumted…

Q: 1 4) Find tangent and normal lines to y=- at the point when x = 2. Write answers in X the…

A: Given equation:- y=1x

Q: Calculate the arc length of the indicated portion of the curve r(t). r(t) = 3ti + (2 cos 2t)j + (2…

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Q: As the concentration of reactants increase, the rate of the reaction generally decreases. cannot be…

A: We have to find the effect of rate of reaction.