Find the distance x = 2 + 6t, y x = 9-t, NOTE: Enter the exact answer. D = [ between the skew lines: z = 2 - 8t z = 1+7t y = = 2 + 6t, 2 + 6t, y = 8,

Q: Model the data using an exponential function f(x) = Abx. x 1 2 f(x) −54 −72.9 f(x) =

A:

Q: 2 Find the position vector for a particle with acceleration, initial velocity, and initial position…

A:

Q: Consider two brine tanks connected as shown in the figure. The brine solution is pumped from tank 1…

A:

Q: evaluate using integration by parts

A:

Q: Determine the intervals on which the function is concave up or down. 1 – 1 t w(t) = +6 (Give your…

A:

Q: Maximizing Profits A manufacturer of tennis rackets finds that the total cost C(x) (in dollars) of…

A:

Q: A class of fourth graders walks to a park on a field trip. The function y = f(t) graphed below gives…

A: The graph of function y=ft is given as ,

Q: A common inhabitant of human intestines is the bacterium Escherichia coli. A cell of this bacterium…

A: The given data is: A common inhabitant of human intestines is the bacterium Escherichia coli

Q: Use implicit differentiation to find y' for 4x³y² + ln(xy³) Answer exactly. y' (1, 1) = 4 and then…

A:

Q: For all sets A, B, and C, we have the identity Ax (B-C) = (A x B)-(A x C). . Use element chasing to…

A:

Q: find f'(x). Answer: f(x) - 5 sin x 1 + cos x

A: f(x)=5sinx1+cosxd dx(sinx)=cosxd dx(cosx)=-sinx d dx(ab)=b×d dx(a)-a×d dx(b)b2

Q: Let f(x) = (x² + 4x) (x³ + 6) . Find ƒ'(1). (Hint: First take the derivative to find f'(x). Then…

A:

Q: Find the compound amount and the amount of interest earned by the following deposit. $9,000 at…

A:

Q: Compute the area of the region between the graphs of f(x) = sinx and g(x) = x in [9.1.

A:

Q: 15. Graph the function f(x) = -2x² + 6x + 2 with the help of the basic graph using graphing…

A: Note:- Since you asked multiple solutions ,as per our policy we can solve only first question for…

Q: f cos 4x√sin 4x + 1dx. O-(sin 4x + 1)³/2 + C O(sin 4x + 1)³/2 + C O-(sin 4x + 1)-¹/² + C O(sin 4x +…

A:

Q: Express the given parametric equations of a line using bracket notation and also using i, j, k…

A:

Q: 12. Use Newton's method to solve f(x) = 0 where f(x) = x2 − 1. Let xo = 3. Compute X2- O=3+0 0 + O =…

A:

Q: here are 8 toll of carpet. Each roll of carpet is 6 yards long. How long are the 8 rolls of carpet…

A: Given, total no. of carpet  rolls= 8 units Length of each roll = 6yards

Q: 2 Find the average rate of change of g(x) = 7x² + on the interval [-3,4]

A:

Q: Consider the function f(x)=9x2+(4x−2)(3/2)−1 over the interval [1,7]. Does the extreme value theorem…

A:

Q: Find the solution to the linear system of differential equations x'= -10x -9y y'= 6x + 5y…

A: Given Data : Here the given system of differential equations is, x'=-10x-9yy'=6x+5y with initial…

Q: Find the distance between the skew lines: z = 2 - 9t x = 6 +8t, y = 1+9t, x = 2-t, y = 8, z = 1+8t…

A:

Q: Let f(x) = 6x² - 4x + 2. Find a constant c between 1 and 9 such that the value of the function f(x)…

A:

Q: The function s= - +³+3t²-3t, 0≤t≤ 3, gives the position of a body moving on a coordinate line, with…

A: The given function is:s(t)=-t3+3t2-3t ;            0≤t≤3

Q: T a) y = In sinx on ≤x≤ 1/2

A:

Q: Suppose the point (4, -7) is on the graph of y = f(x). Find the corresponding point on the following…

A:

Q: Evaluate the iterated integral S S (11x+10y (11x+10y + 14)dx dy. 4-2

A:

Q: F'(x) = x³ +8√√x; _F(1) = −1.

A:

Q: Consider the function f(x) = = 1 X a. Find the Taylor series for f(x) centered at c = 7. ∞ f(x) = Σ…

A:

Q: For each of the following, first write down a formula for the derivative that is asked for, in terms…

A:

Q: Your firm is considering adding a product line. The accounting department has determined that the…

A:

Q: 14. Solve the initial value problem du = ² + 1 with y(0) dy = 1. dt Oy(t) = Oy(t) = t³+t-1 Oy(t) =…

A:

Q: d²y Find an equation for the line tangent to the curve at the point defined by the given value of t.…

A:

Q: there are minitely many circles approaching the vertices or area of triangle total area of circles

A:

Q: Find the final amount in the following retirement account, in which the rate of return on the…

A:

Q: Below is a graph of two curves: x = y³ - 3y (the S-shaped one in blue) and x = 5-y (in red). Which…

A: area

Q: For each function a) find the critical points/numbers, b) intervals of increasing/decreasing, c)…

A:

Q: Run a regression analysis on the following data set, where y is the final grade in a math class and…

A: Solution: Here we are using excel to find the linear equation

Q: Which of the following statements best describes the solution curve to the differential equation dy…

A:

Q: Let F(t) = (²-2, 4e4t, 5 sin(- 5t)) Find the unit tangent vector T (t) at the point t = 0 0₁ T(0)=<…

A:

Q: The area of the region enclosed by the curves y = 2x and y=x²-3x is given by which of the following…

A:

Q: Given the vector function r(t) = (4t, -³, - 3t² + 4) Find the velocity and acceleration vectors at…

A: Solution: r→(t)=4t,-t3,-3t2+4 To find the velocity vector, we take the derivative of r(t) with…

Q: 2 Find the average rate of change of g(x) = 7x² + on the interval [-3,4]

A: (1)  g(x)=7x2+2x4interval is [-3,4]

Q: Karl Yates needs $6,000 to pay for the remodeling work on his house. A contractor agrees to do the…

A:

Q: R/4 4. ST¹ x sin 2x dx

A: To Find : ∫0π4xsin2x dx

Q: A rocket has taken off and is rising vertically according to the position equation, s = 50t^2 (use…

A: A rocket has taken off and is rising vertically according to the position equation, s = 50t2. It is…

Q: Please show your work (i.e., provide an explanation of your final solution) to receive credit. If…

A: M=d dx(g(f(x))

Q: Find the derivative of y = x²ª dy/dx =

A:

Q: For what value(s) of x does the graph of have a horizontal tangent? x = help (numbers) f(x) = 10x³…

A: