e. y=x² sin(x²+5)

Q: Find three real numbers x, y, and z whose sum is 12 and the sum of whose squares is as small as…

A: Suppose the numbers are x,y and z which sum is 6. So, g(x,y,z)=x+y+z-12=0...(1) And, whose sum of…

Q: The balances in a checking account are recorded once every week. The balances over a four week…

A:

Q: pls show all steps and if possible do it handwritten so i can better understand thanks, Find the…

A:

Q: Let f(x) = xe-4x A. Find f'(x). C. Find f'(x). B. Identify intervals where the function is…

A:

Q: Let f(x) = e-7x². Then f(x) has a relative minimum at x = a relative maximum at x = and inflection…

A:

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

A:

Q: 3) Two planes are flying in the air at the same height. Airplane A is flying east at 250 miles per…

A:

Q: Apply L'Hôpital's Rule to evaluate the following limit. It may be necessary to apply it more than…

A: J=limx→-π2cos(x+π)sin(x+π2)by using L'hopitals rule J=limx→-π2∂ ∂x(cos(x+π))∂ ∂x(sin(x+π2))

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: 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: Watching a Helicopter Take Off At a distance of 53 ft from the pad, a man observes a helicopter…

A: Let point P denotes pad and point H denotes heliport.As per the data given in the question the…

Q: Determine over what intervals (if any) the Mean Value Theorem applies to the function f(x) = (x+2)³…

A:

Q: Figure 5-19 CELL Supply B Quantity Price Supply A Quantity Price Quantity Refer to Figure 5-19.…

A:

Q: Suppose that the manufacturer of a gas clothes dryer has found that when the unit price is p…

A:

Q: (x-y)(4x+y)dx + x(5x-y) dy= 0    solve the homogenous differential equation

A:

Q: What is the exact value of cos (sin-¹ (-¹)) + tan−¹ (cos (π))? 2√3-* 4 -2√√/3-T 4 2√3+* 4 -2√3+* 4

A: K=cos(sin-1(-12))+tan-1(cos(π))we know  cos(-x)=cosxsin(-x)=-sinx

Q: (a) Determine which of the following statements are correct. Select all that apply. sin (1) = 0 O…

A: according to bartleby policy we do only first part (a)  (i)  we know sin(0)=0sin(π2)=1

Q: Find the distance between the skew lines r(t) = (-4, 4, p(s)=(3, 2, - 5)t + (-1, -5, - 4) and 3)s +…

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

Q: 1). Find the derivative of the function: f(x) = (x²75x-3) (x³ - (0x²³² +3x²-7x+1) 3 2 2). Find the…

A: We need to find the derivatives of the given functions using rules of differentiation

Q: The following set of ordered pairs is a function and is one-to-one. {(0, 0), (1, 1), (2, 8), (3,…

A: To determine whether the given set of ordered pairs is a function or not.

Q: Determine all of the solutions in the interval 0° 0 < 360°. (Enter your answers as a comma-separated…

A: Given :   tan 2θ = -1

Q: For the following function, find the Taylor series centered at x = 6 and give the first 5 nonzero…

A: Please see the below picture for detailed solution.

Q: i cannot see the solution please resend

A:

Q: If g(x)= xf(x), where f(2)= 7 and f'(2) = -2, find an equation of the tangent line to the graph of g…

A:

Q: Find the linear approximation of the function f(x) = √√4 - x at a = 0. L(x) = 2 3.99 - X 4 Use L(x)…

A:

Q: Given f(x, y) = 4x + 2y³ - 5y, find fzz(z,y) = fry(x, y) =

A:

Q: 13) y = 4 + lnx solves xy' = 1

A:

Q: Suppose that an office chair costs $50 in 2017, and $52.90 in 2018. Office chairs continue…

A: Given: The price of an office chair was $50 in 2017 and $52.90 in 2018. Office chairs continue…

Q: wait so for b) the given point is 1?

A: The answer is in step2.

Q: What is the exact value of tan{esc^ '(-)),

A:

Q: The weekly marginal cost of producing x toaster ovens is 31 +0.12x dollars per toaster oven. Find…

A: Given query is to find cost function.

Q: Find F(s). F(s): = L{t¹4e-3tz

A: NOTE: Refresh your page if you can't see any equations. . the given function is  take Laplace…

Q: The quantity demanded of a certain product, q, is given in terms of p, the price, by q = 1000e-0.05p…

A: According to question,Given Function,q = 1000 e-0.05p

Q: 18. $300 $3

A:

Q: y²- x² = 9; (3, 3√√/2) Find the slope m of the line tangent to the graph of the given function at…

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

Q: Skills In Exercises 21-30 use one of the comparison tests to de- termine whether the series…

A: To find whether the series converges

Q: dz Fx Assume that F(x,y,z(x,y)) = 0 implicitly defines z as a differentiable function of x and y.…

A:

Q: What is the period of f(x) = sec x? Enter your answer in the box. period of f(x) = sec x:

A:

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

A: given  s(t)=4x2-3x+7

Q: Evaluate the given Laplace transform. (Write your answer as a function of s L{t cos(5t)} Need Help?…

A: Solution-

Q: 2 For the function f(x)=√x² +4, find f''(x). Then find f''(0) and f''(9).

A: Given query is to find indicated derivative.

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

A:

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: Evaluate the limit for the graph: lim f(x). X-4 y 4 2 -4-20 2 -2 -41 4 8

A:

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

A:

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: A tank initially contains 100 gal of brine in which 40 lb of salt are dissolved. A brine containing…

A:

Q: 749 11 12 13 14

A:

Q: log1/2 2 x 3 logy (2+5) 1/2 9.

A: Given equation:- log12x2-log12x+53=9

Q: The position vector of a particle is r(t). Find the requested vector. The acceleration at t = 1 for…

A: If r(t) is the position vector then velocity is r '(t) and acceleration is r "(t).