Let r(t) be the rate at which a swimming pool is being filled with water, measured in liters/minute, at time t minutes. Which expression represents the amount of water that has been added to the pool between t=5 and t=10 minutes? Or(10)-r(5) 5 10 O r(10) - r(5) 10-5 5 r'(t)dt 10 1 }," 5 10 r'(t)dt r(t) dt

Q: 2 -[-3] Span (u, v) for all h and k. 21. Let u = and v= [2]. Show that is in

A: The given vectors are u=2-1, v=21  we have to check whether u and v  spans u,v for all h,k.

Q: Find the vector, not with determinants, but by using properties of cross products. (j - k) x (k - i)

A: Given: ( j-k)×(k-i)

Q: Find Əw when r= 1 and s= -1 if w = (x+y+z)²₁ x=r-s, y = cos (r+s), z = sin (r+s). ər

A: Just I have used the chain rule of partial derivative to the given problem and then calculate them.…

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

A: here we have to find the limits.

Q: For a school group, a skating rink charges a flat fee of $50 for skates for the students, plus a…

A:

Q: of Əf Find and əx dy f(x,y) = √2x² + y²

A: 1) f(x,y)=sqrt(2x2+y2) 2) f(x,y)=x3-6xy+7y2.

Q: A graphing calculator is recommended. If a rock is thrown upward on the planet Mars with a velocity…

A:

Q: Estimate the instantaneous rate of change of h(x)=4x^(2)+4 at the point: x=2

A:

Q: Use the figures above, which show the functions f(x)f(x) and g(x)g(x), to find the following values.…

A:

Q: If f(x) = - 3/2 and g(x) x + 2 2x² 3 6x + x² 3 6x + 1 1 2x + x² x + 6 2x² = X + 1, find (-1)(x) (x)…

A:

Q: Let f(x) 3x2+6. Evaluate lim h→0 f(4+h)-f(4) h

A: Solution ⇒     f(x)=3x2+6    and we have to perform  limh→0f(4+h)−f(4)h    Now put…

Q: Select the correct choice below and fill in any answer boxes i your choice. OA lim F(x)= (Type an…

A: Given query is to find the Indicated limit.

Q: 4. Evaluate the right limit of the following function at t = 2 -2x + 1 x ≤ -2, x + 3 |x| f(x) =…

A:

Q: 8. Using Laplace transforms, solve d²y dt² 2 dy dt 3- - 4 = 3e2t, with y(0): = 1 and y(0) = 0 -

A: Note: Since the student has mentioned to solve question no. 8, so we are solving according to…

Q: Find parametric equations for the line. (Use the parameter t.) the line through the points (-5, 2,…

A: Topic - Parametric equation of line We are given A line passes through the points (-5,2,5) and…

Q: that is incorrect

A: Given function is f(x) = 9/(2x-1)

Q: Which equation best fits the graph shown below where A > 0 ħ

A:

Q: f(x)= 3x-2/ x+1 find the inverse

A:

Q: Find the equation of the tangent line to the curve y || x3 + ex x3 at x = 1.

A:

Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region…

A: given  y=lnx, y=0, x=4 about the y axis formula for volume is V=∫abπ(R(x))2dx

Q: f(x) g(x) The graphs of f and g are given above. You may click on the graphs to get larger images of…

A: Given query is to find the value of indicated quantity from the graph.

Q: ***************** ***************** A company can produce LCD digital alarm clocks at a cost of $7…

A: The company's cost function is Cx=7x+20. We have to find its average cost function and marginal…

Q: Step 1 of 4: Find lim f(x). x-4- AV 10 5 Enable Zoom/Pan X

A: NOTE: Refresh your page if you can't see any equations. .

Q: number of 3D movies released in a country in recent years is approximated by f(x) = x². 29 and…

A: Given query is to find rate of change in 2029.

Q: nd the point on the curve r(t) = (5 sin t)i + (5 cost)j – 12tk at a distance 13x units along the…

A:

Q: Find the range of f(x) = 23 e*+3

A:

Q: Find the acceleration of the specified object. A boat is pulled into a dock by means of a winch 24…

A:

Q: Let P = (1,2,1) and Q = (0,2,−3). What is the distance between P and Q?

A: Given: Let P = (1,2,1) and Q = (0,2,−3).

Q: Given y = f(u) and u = g(x), find by using Leibniz's notation for the chain dy dy du dx du dx rule:…

A: Given: y=f(u) and u=g(x), find dydx by using Leibniz's notation for the chain rule:dydx=dydududx…

Q: OZ Use the chain rule to find and əs əz əs дz at = = ~(~). z = tan dz at u = 8s + 5t, v = 5s - 8t

A: Given z = tan( uv ) u = 8s + 5t v = 5s - 8t

Q: 5 ၊ ၀ 9-

A: Given query is to find the correct graph of the function.

Q: f(x)= = J 5x - 3 9x² − 12 if x < 3 if x ≥ 3 Enter the exact value of the one-sided limit lim f(x)…

A:

Q: the line 5x + 7y - 35 = 0 to vector form. The plane [x, y, z) = [-4, 3, 1] + t[1, -2, 0] + s[-2, 3,…

A: Since we are given with the multiple no.of question and our guideline is solve first question only

Q: Find all the second-order partial derivatives of the following function. 6 8 +y 74 f(x,y)=xy-x

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: the time required for an investment of 3,000 dollars to grow to 12,000 dollars at an interest rate…

A: Given query is to find the time required to reach the investment to 12000.

Q: Calculate [1, 2, 2] x [5, -5, -1] -

A:

Q: suppose that the supply and demand equations for printed T-shirts for a particular week are given as…

A: To find the equilibrium point set the supply equal to demand and then  solve for p and q.

Q: A laptop computer was purchased for $2500. After 2 years, the value of the laptop is expected to be…

A:

Q: Determine whether each of the following integrals is proper, improper and convergent, or improper…

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

Q: Find parametric equations for the line. (Use the parameter t.) the line through the points (-5, 2,…

A:

Q: Find the volume, V, of the solid obtained by rotating the region bounded by y = 3x², x = 0, y = 4…

A:

Q: Video Example Show that Solution 9x² - 4y² lim (x, y) (0, 0) x² + y² Let f(x, y) = (9x² - 4y²) (x² +…

A:

Q: Find  f ′(a). f(x) = 2x2 − 3x + 3 f ′(a) =

A: The function is  f(x)=2x2-3x+3

Q: $19,000 is invested for 3 years at an annual simple interest rate of 19%. (a) How much interest will…

A:

Q: Match each function (a, b, c, d) with its derivative and explain how you knew. Not all derivatives…

A:

Q: State the derivative. Do not simplify. Paragraph V f(x) = sin(x) + cos(x) BIU A/ V 叩く描く O 11 GO +

A:

Q: Use the graph of f in the figure to do the following. a. Find the values of x in the interval (0,5)…

A:

Q: The region bounded by the given curves is rotated about the specified axis. Find the volume V of the…

A:

Q: Given lim f(x) = -2 and lim g(x) = 4, evaluate: x-1 x-1 lim (-3f(x) +5g(x)) = x-1 lim (-3+5f(x)) =…

A:

Q: Consider the helix r(t) = (cos(1t), sin(1t), 4t). Compute, at = 7:

A: