Consider the function f(x) = 6x² – 2x + 11, 0 < x < 6. The absolute maximum of f(x) (on the given interval) is at x = and the absolute minimum of f(x) (on the given interval) is at x =

Q: Let T: R - R be a linear transformation such that T(1, 1, 1) = (4, 0, -1), T(0, -1, 2) = (-5, 4,…

A:

Q: 2.4

A:

Q: Suppose that f is integrable on [-4, 7]. If the average value of f on the interval [-4,7] is 4.25,…

A: Given: Average value of f(x) on the interval [-4, 7] is 4.25 The formula for average value of f(x)…

Q: initial deposit of $1,000 is placed in a savings account with an APY of 4.3% sume the interest rate…

A:

Q: If 2300 square centimeters of material is available to make a box with a square base and an open…

A:

Q: Find f+ g, f- g, fg, and fig and their domains. F(x) = V15 - 2, g(x) = Vx+1 Find (F+ g)(x). Find the…

A:

Q: Find a plane through the points (4,-3,-4), (-6,2,8), (3,-8,8)

A:

Q: If f(w) (7w), find f(w). Use exact values. COS f'(w) =

A:

Q: Let f(t) be the weight (in grams) of a solid sitting in a beaker of water. Suppose that the solid…

A:

Q: Determine the area of the region bounded by x = y2 – y -6 and x = 2y +4.

A:

Q: 2 Integrate | 20(5æ – 3)°dæ - – 2

A:

Q: 7- Differentiate K(x)=(Vx)(5x²+1)³

A:

Q: An Easter ham is put in the oven with a temperature probe embedded in the center. Assume the…

A: We are given that, an Easter ham whose temperature is 40° is kept in an ovan whose temperature is…

Q: In the integration What is the implicit derivative of u? V9-4x² a. du = 2dx b. du = * - 2dx c. du =-…

A:

Q: Evaluate the integral. Show that the substitution x = V6 sec(0) transforms I into fcos(0) d0, and…

A:

Q: uilding that is 225 feet tall casts a shadow of various lengths as the day goes by. An angle of…

A:

Q: Find the area of the specified region. sec e Inside the dircle r 3 and to the right of the line r =…

A:

Q: Answer each question appropriately. f(x) dx = 9. Find -2 f(x) dx , if f is odd. Suppose that

A:

Q: 2. A cylindrical plastic container with a radius of 15 cm is being filled with orange juice at a…

A:

Q: 4. x = VI - i , y = t³ – 3t

A:

Q: %3D A business's marginal cost in dollars per unit, is given by CI(x) = 0.04r² +5 where I is the…

A: integration

Q: Given the function below f(x) = V-80x + 144 Find the equation of the tangent line to the graph of…

A: Given :

Q: dy for each of the following: (2 p dx 5. Find (a) y=|(cost+e' – sint+3t³ )dt 3. csin x (b) y = (t2 +…

A:

Q: Evaluate the integral. dx (х — 9)(х — 18) (Use symbolic notation and fractions where needed. Use C…

A:

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 15 f(x): dt f'(x) -…

A:

Q: summation

A:

Q: Find the equation of the tangent line of y = 6e* at xo = 0. (Use symbolic notation and fractions…

A:

Q: * Your answer is incorrect. Use Green's Theorem to find the work done by the force field F(x, y) =…

A:

Q: Use Green's Theorem to evaluate the line integral. 2xy dx + (x + y) dy C: boundary of the region…

A: First I have changed the line integral into double integral with the help of Green's theorem and…

Q: Use the Divergence Theorem to find the flux of F(x, y, z) = z³ i –x³j+ y° k across the sphere x? +…

A:

Q: results when the region in the first quadrant bounded by the curve x2 + y2 = 82 from x = 3.4 to x =…

A: To find surface area.

Q: f (x) where f(x) and g(x) are seen in the graph. lim r-0 g(x) y. 5 3 f(a) 2 -5 -4 -3 -2 2. 9(x) -5

A:

Q: Find the value of the specified finite sum. Given ak = 3 and bk = 7, find (ak- 2bk). %3D k=1 k=1 k=1

A: We can find the specified finite sum as below.

Q: Suppose we wish to find the integral of x dx/(1+x^4), the first step to solve this is by

A:

Q: Determine the following Laplace transforms: (i) mathcal L \ cos^ 2 3t\ .

A: Given

Q: Show that the integral is independent of the path, and use the Fundamental Theorem of Line Integrals…

A:

Q: r(t) = 4 cos(t)i+4sin(t)j; t = 3 /3 1 2/2' 2/2 -V3 2/2' 2/2 1

A:

Q: 2 у2 | dxdy 1 у 2.

A:

Q: Describe the graph of the equation x2 + 4x – 16y + 36 = 0. -

A:

Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation…

A:

Q: For the linear transformation T: R* - R, T(v) = Av, find T(1, 0, 2, 3) and the preimage of (0, 0,…

A:

Q: 10. Given two points P1(0,2,-1) and P2(2,0,-1), find the perpendicular distance from the point P3(3,…

A:

Q: Let C be the curve represented by the equations x = 5t, y = t", (0 < t < 1). In each part, evaluate…

A:

Q: 1. Find parametric equation for the line through the point P(3,-4,-1) parallel to the vector v…

A:

Q: 20 . Using the definition of derivative at a point, f'(9) f(x) – f(9) x – 9 Let f(x) lim enter %3D…

A: Given: fx=20x It is given that definition of derivative at a point x =9 is defined as…

Q: Find exactly T(t) and N(t) for x = e'cost, y = e'sint, z = e' for t = 0. [Choose the correct…

A:

Q: A small business's cost to produce I units of a new product is given by C(x) = -0.001x+ 4x +506…

A: Solve the following

Q: Evaluate the line integral along the path C given by x = 2t, y = 8t, where U + dy

A: Given

Q: eEid dx -Mubarak e

A:

Q: 4. [6.1] If vector b is shown below, sketch a vector. a) Equal to b b) Opposite to b c) With the…

A: Solution of given question is written in below steps.