Consider the function f(x) = -4xi + V24 -x on the interval [7, 27]. Find the absolute extrema for the 24 function on the given interval. Express your answer as an ordered pair (x, f (x)). (Round your answers to 3 decimal places.) Answer Кeypad Keyboard Shortcuts Separate multiple entries with a comma. Absolute Maximum: Absolute Minimum:

Q: 10 Consider the function f(z). 6. Let F(r) be the antiderivative of f(z) with F(1) 0. Then F(z)

A:

Q: Differentiate the following functions: i. v = 15/7(12/7+ 3t) (2x – 9) f(x) = x + 4 ii. iii. y =…

A: We can solve this as follows:

Q: Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a…

A: Find Maclaurin series.

Q: Determine whether the sequence is convergent or divergent. If it converges, find the limit. S(3(n –…

A:

Q: Two people who want to meet each other will show up independently at a random time between 7am and…

A:

Q: nd the linearization of f(x)= {Vx at c = 64. Use the linearization to approximate 64.05.

A:

Q: ) Below is a diagram of the dotted cube with edges of length 5. Suppose (5, 0,0), v = (0, 5, 0), and…

A: Given u=5,0,0v=0,5,0w=0,0,5

Q: Jen would like to use the first week in May to visit one city, and the first week in June to visit…

A:

Q: (c) in the tank to a height of 1 m above its top. Give a definite integral that computes the total…

A: answer is in next step

Q: 4. Find the exact value of the expression. (a) 10log 36 (b) In e3

A: Explanation of the answer is as follows

Q: Lnx sin 2x dx

A: Use the properties of definite integral and solve the question.

Q: 64 8 If f is continuous and f(x) dx = 18, find xf(x²) dx.

A:

Q: 2. Sin 2x dp X UIS 6.

A:

Q: 75 then compute the limit. 137 2| %3D Investigate the one sided limits (left and right) of f () =…

A: Given query is to find the limit.

Q: Find an equation of the plane. The plane through the points (2, –1, 3), (5, 3, 6), and (-3, -3, -3)

A: We are asked to find the equation of the plane

Q: Where does the line through (1, 0, 1) and (3, –3, 4) intersect the plane x + y + z = 6? (x, y, z) =…

A:

Q: Use differentiation to find a power series representation for n=1 1 (5+ x)2

A: We have to find the power series expansion of the above equation.

Q: Scsc" 2 ede 4 CSC

A:

Q: The series (-1)"+1 is: n³/2 n=1

A:

Q: Differentiate the function. g(u) = 7u + V 5u

A:

Q: The series 1(-1)" converges to 0. True False

A: We have to find if the given series is converges.

Q: The state of Alaska allows for the following sequence on license plates, 2 letters followed by 3…

A:

Q: 6 sin z Let f(r) = 6 sin z + 2 coS T Then f'(x) = The equation of the tangent line to y = f(z) at a…

A: Given query is to find the derivative of the function.

Q: Use f(x) = 4x - 5 and g(x) = 3 - x to evaluate the expression. (a) f(g(0))= (b) g(f(0))=

A: Given query is to find the value of indicated function.

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A:

Q: Find a Taylor series representation of f centered at a=3 f(x)=1/(1+x^2)

A: Given

Q: f(x, y) = ln(x + y)

A: for the first order partial derivative we have to find fx = derivative of f with respect to x fy =…

Q: Determine the value of 7A+8M if 5x4 + 3x3 + 14x² + 16x + 6 A x – 3 За + М ¤(1+a² )² 1+x2 (1+æ²)²…

A:

Q: Since f'(x) is a function, f'(x) has its own graph, one that is based on the behavior of f(x). True…

A:

Q: Find all critical points of the function f(x) = x³ – x² – 54x + 10. (Use symbolic notation and…

A:

Q: a. Suppose that Miller Corporation can produce 3500 refrigerators when the number of hours of…

A:

Q: Convert the point from spherical coordinates to rectangular coordinates. (9, - =) (x, y, z) =

A:

Q: 16. Interpretations of Integrals Determine the position function, s(t), of an object if the…

A:

Q: Let a=2, b=50, c=1, d=8 and e=15 is given by the following function:

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: am dA y² dx + x² dy = / / ( - əx ду for the given path. hC: rectangle with vertices (0, 0), (2, 0),…

A:

Q: (a) Determine the Cartesian equation for the parametric curve defined by x(t) = 5 sin t and y(t) =…

A: We have to find the equation of the curve ,tangent equation to the curve.   Note - As per our…

Q: Evaluate the limit sin 9x lim I0 sin 3x

A:

Q: Evaluate the integral. 3 if -2 < x< 0 f(x) dx where f(x) | 4 – x² if 0 <x< 3

A:

Q: 5. Use the Laws of Logarithms to expand the expression. x + 2 3 (a) log (b) In y (c) log. x(x² + 4)

A:

Q: dy Suppose Ix = (2x – 3) e*²-3r (2x – 3) e**-3x and y(1) = 4. What is y(2)? O -4 O 3 O 4 O 5

A:

Q: (c) in the tank to a height of 1 m above its top. Do not evaluate the integral – just write it down.…

A: answer is in next step

Q: nswer.

A:

Q: ¤(x+4)~²dx

A: Here we have to find the given indefinite integrals.

Q: Graph the feasible region. x + y 2 3 -x + y 2 1

A:

Q: Find the average value fave of the function f on the given interval. f(x) = 18x – x², [0, 4] fave…

A:

Q: Some type of phenomenon occurs at x=0 for the function f(x)=cos x-x^2 sinx, f(0) is a(n) A. maximum…

A: Given the function is f(x) = cos x - x2 sin x

Q: Given the differential equation y'' – 5y' + 3y = – 4 sin(5t), y(0) = – 2, y'(0) = 1 | Apply the…

A: Given,  y"-5y'+3y=-4 sin(5t)

Q: 1. Use a suitable substitution to evaluate , (G) dx. Give you answer correct to at least 2 decimal…

A: Substitution is done for the function whose derivative is present in the numerator.

Q: Ella is building a chicken coop. The area of the chicken coop is 40 square feet. Each chicken needs…

A:

Q: As x gets closer to zero, tan2x/ln(1+x) gets closer to what value?

A: This question can be solved using the concept of L HOSPITAL,'S RULE.