An automobile company is running a new television commercial in five cities with approximately the same popu following table shows the number of times the commercial is run on TV in each city and the number of car sales hundreds). Find the Pearson correlation coefficient for the data given in the table. Round any intermediate ca less than six decimal places, and round your final answer to three decimal places.

Q: f(x) = x³ -1.5 x² Use graphing calculator, fine the interval the function is decreasin (1,2) (0,1)…

A: Solution: The objective is to find the interval the function is decreasing using graphing calculator

Q: Consider the following vector function.. r(t) = (2√2t, e²t, e-2t) (a) Find the unit tangent and unit…

A:

Q: Let a = . Find al. − −

A:

Q: Find the mass of the solid bounded by the planes x+z=1, x-z = -1, y = 0, and the surface y=√z. The…

A:

Q: (X5)O+=(x) f (

A: According to bartleby guidelines we supposed to do the first one of multiple questions  kindly…

Q: A video store manager observes that the number of videos sold seems to vary inversely as the price…

A: A video store manager observes that the number of videos sold seems to vary inversely as the price…

Q: The gradient of f(x, y) = zy at (x, y) = (-1,1) is

A: The gradient of function f(x,y) is represented by ∇f(x,y) where:∇f(x,y)=∂f∂x,∂f∂y          Equation…

Q: 53 2 5 -4 -3 -2 -1 U V 2 3 Q Find the components of the addition of the two vectors u and v shown.

A: Ans= <0,-6>  For detail...go through the solution...I have solved step by step with the help…

Q: Evaluate the integral. S² (6ti - t³j+ 2t³k) dt

A: B=∫02(6ti-t3j+2t3k)dt∫tndt=tn+1n+1+c

Q: A rectangular storage container without a lid is to have a volume of 10 m³. The length of its base…

A: Given volume ( v ) = 10m3 let length = l width = w height = h

Q: Determine the following indefinite integrals using the given substitution a. [x cos(32²) dx, u = 3x²…

A: We need to find the given integration (a) ∫ xcos3x2dx

Q: A student decides she wants to save money to buy a used car, which costs $2600. She comes up with…

A: Please find the solution as per Bartleby guidelines

Q: The radius of a circular disk is given as 21 cm with a maximal error in measurement of 0.2 cm. Use…

A: We have given  radius of the circular disk = 21cm and maximal error in measurement = 0.2cm  We need…

Q: Consider the function f(x) = 3x + 8x-¹. (a) Find all critical numbers c of f. (b) f is increasing…

A:

Q: Question 18 ( has exactly Show that the equation one real solution. 207e +2023 In z=7²4

A:

Q: Given the function f(x)=x²-2, completo parts a through c (a) Find an equation for roo (b) Graph fand…

A:

Q: Assume that C(x) is in dollars and x is the number of units produced and sold. For the total-cost…

A:

Q: Question 6 of 10, Step 1 of 1 Answer Suppose that y' is proportional to the cube root of .x, and…

A:

Q: Let a = 7i+j and b - 67 - 7j. Find a - b .

A:

Q: We can represent planes using either vector equations or scalar equations. Which form do you think…

A: We have to answer which form of plane is better Either vector or scalar

Q: Find the arc length function for the curve y = sin(x) + √1-x² with starting point (0, 1).

A:

Q: Q. 3 Given z = x²y, x = 2t+s, and y = 1 - st². dz We have to find dt s=1, t=2. We first find dz dt

A: Given data÷ z=x2y ,x=2t+s, y=1-st2 dzdt at s=1,t=2 Here, z=fx,y and x=fs,tand y=fs,t

Q: avaries directly as the square of band inversely as the square of c. If a = 89 when b = 6 and c = 6,…

A:

Q: The graph of a function is given. Use the graph to estimate the following. (Enter your answers using…

A: A graph of the function is given, we have to find its domain, range, and increasing and decreasing…

Q: Last time now, with d = 3.42 m. You start the block on the track at rest, somewhere to the left of x…

A:

Q: Find sin(t) and cos(t) for the values of t whose terminal points are shown on the unit circle in the…

A:

Q: Let z=f(x,y) = 15x² - 25xy +9y². Find the following using the formal definition of the partial…

A: The given function is: z=f(x,y)=15x2-25xy+9y2

Q: Show that the lines L₁ : x = 5 – t, y = 2t, z = 1+t and L₂: x = 1+2t, y = 3-4t, z = 5 - 2t are…

A:

Q: Obtain the general solution of the following differential equations 8. (y sin x + xy cos x)dx + (x…

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution to the…

Q: du Draw a dependency diagram, and write a chain rule formula for ds Choose the correct dependency…

A:

Q: Obtain the general solution of the following differential equations. 8. (ysin x+xy cos x) dx +…

A:

Q: Evaluate the integral. 3 4x x y cos z dx dy dz

A: triple integral

Q: Find the centroid of the region cut from the first quadrant by the circle x² + y² = 81.

A: Find the centroid of the region cut from the first quadrant by the circle x2+y2=81.

Q: The postal service will accept a box for domestic shipment only if the sum of its length and girth…

A:

Q: T 2 2. S 8xdx 4 2 0x -8x +32

A:

Q: Estimating the Amount of Paint Required A coat of paint of thickness 0.08 cm is to be applied…

A: The given data is: The volume of a cube edge s is V=s3 s=26 cmds=0.08 cm

Q: Which of the following is the largest interval in which the solution of the initial value problem…

A:

Q: Find the intervals on which the graph is concave up and concave down. (Enter your answer using…

A:

Q: A simplex matrix is given. 1 10 X = 01 y = 4 5 7 12 12 0 9 0 14 00 The solution is complete, so…

A: We have to find the maximum value of f and values of x,y.

Q: Use the following three identities to evaluate S sin sx cos tx = sin sx sin tx = cos sx cos tx = ·S=…

A:

Q: 3. Find a, b and c if (x + y + az)i + (bx + 2y − z)j + (−x + cy + 2z)k is irrotational.

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

Q: Find the components of the vector - 4c based on the vector shown.

A: The magnitude of the vector in x direction is represented by i component. The magnitude of the…

Q: 3) Find the general solution to y′ = sec^2 x.

A: To find general solution.

Q: A rectangle has its base on the x-axis and its upper two vertices on the parabola y = 25 - x². What…

A:

Q: Find the vectors T, N, and B at the given point. T = N = B = r(t) = T - 16 -

A: I have done solution step by step in detail...go through the solution

Q: Obtain the general solution of the following differential equations 6. xdy - ydx - √√x² - y² dx = 0…

A:

Q: 19. What is the general-term equation, an, for the arithmetic sequence below and what is the 27th…

A:

Q: Consider the following vector function. Find each of the following. r'(t) = r¹(5): |r'(5)| = r(t) =…

A: Please see the below picture for detailed solution.

Q: The masses m; are located at the points P₁. Find the moments Mr and My and center of mass of the…

A:

Q: Find the average value of the function over the given interval. (Round your answer to three decimal…

A: