3) Determine the speed of change of volume of a rectangular parallelepiped, knowing that the edges of the base increase at the rate of 2 cm/s each and the vertical edge decreases at the rate of 1 cm/s, at time t, when the edges of the base measure 30 cm and 20 cm and the vertical 50 cm.

Q: 2. Below is the graph of f '(x), the derivative of f(x), and has x-intercepts at x = -3, x = 1 and x…

A: given goaph of f'(x)

Q: Find an equation for the tangent line to the graph of the given function at ( – 5,32). - f(x)=x² +7…

A: Given query is to find equation of the tangent line.

Q: Find the area of the region enclosed by the curves y = 2 - x² and y = x. (a) (c) 9 2 54 (b) (d) 40 7…

A:

Q: a. f(x)=x-1 x²+1 b. fx=CSCTX

A: To find the vertical asymptotes , put the denominator equal to zero and solve for x.

Q: What is the general solution to the the differential equation3y"'-y' - 2y=0?

A:

Q: (b) part of parabola y = −2x² from (−1, −2) to (2, —–8)

A: Given Equation of parabola y=-2x2 from -1, -2 to 2, -8.

Q: Re-write the given equation in slope intercept form, give the slope and y-intercept, and graph the…

A:

Q: Find the x- and y-intercepts of the graph of the equation. (If an answer does not exist, enter DNE.)…

A: We have given an equation. We have to find the x and y intercept. We have  y - 9xy + 9x = 1 To find…

Q: Find the limit. lim √x+15 cos (x+4) X→-4t lim √x+15 cos (x + 4) = X--4t (Type an exact answer, using…

A: We need to find the limit of the given function as x approaches the value -4π. For all x≥ -15 the…

Q: Find a vector parametric equation (t) for the line through the points P = (1, −4) and Q = (−2, −9).

A:

Q: 5. I Find the area of the region enclosed by the curves y = 3x³ - x²-10x and y=2x-x². (x ≥ 0) (a)…

A:

Q: y=ae³x + be-3; y"-9y=0 -3.x.

A:

Q: For each function below, find the derivative. DO NOT use decimals in your answers. If f(x) = 2x5…

A:

Q: Is the function g(x) continuous at x = 5? g(x)= O No 1 5X+7, 5x-13, for x>5 Choose the correct…

A: Given query is to find function is continuous or not at x = 5.

Q: u սյ # P Express numbers in exact form. Use symbolic notation and fractions where needed.) ||U₁v ||…

A:

Q: 11. The table of values below shows the rate of oil consumption in gallons per minute at selected…

A: Solution: Approximate the integral ∫012f(x)dx    with the left Riemann sum using the table below:…

Q: III. Find the differential equation by eliminating the arbitrary constant/s. 1. y-¹ = x(3e* + c)

A:

Q: Use function composition to determine if f (x) ar (a) Yes, they are inverse functions. (b) No, they…

A:

Q: Find the following limit. Answer as either an integer or a fraction. (No decimals.) Enter INF for…

A: The limit is given by limx→1x-1x2+7x-8 To evaluate: The value of the limit

Q: 13. Lim (2 Flx) - 3g(x)) X-3

A: We can find the answer in the below steps.

Q: Show that convolution with a given function f commutes with differentiation; that is, show that…

A: I am attaching image so that you understand each and every step.

Q: A positive angle less than 360° that is coterminal to -111° is

A: To find a positive coterminal angle, one should add 360o to the given angle.

Q: First rationalize the numerator, then find the limit. Enter the exact answer. If the limit does not…

A:

Q: Consider the integral 2³ In(a) dz: Applying the integration by parts technique, let u = ln(2)…

A:

Q: The graph below is the function f(x) -5 -4 -3 -2 -1 lim 11 lim #→-1+ 54 4 3 2 |-1 -2 N -3 4 -5- f(x)…

A: Topic- Limits and Continuity

Q: Find the equation of a plane that is perpendicular to the vector 4 i + 2 j - 2 k and passing through…

A:

Q: 2. Find the volume of the solid that results when the area of the region enclosed y=√√x on [1,2] is…

A:

Q: The series True O False Σ n=1 (-1)"-3 √n is absolutely convergent.

A:

Q: Find the volume of the solid that results when the area of the region enclosed by y=√√sin x and the…

A: Concept: Volume by integration: The volume of the solid produced by the region under f(x) centered…

Q: уто ņx=-5 O SONGS & + 10 9 7 6 5 4 012345 -10-9-8-7 -6 -5 -4 -3 -2 -10 -2 -4 1) lim f(x) = x-(-4)…

A: Sol:- We have to explain what is telling by limits and the points for which f(x) is not…

Q: Let limx-2 f(x)=-3, and limx-2 g(x)=4, Find limx-2 [f(x)/5g(x) +2f(x)g(x)]

A: Topic = Limits

Q: #4 The function E (t) = 4.66459 t4.4054 describes the available capacity (in kilowatt hours = kWh)…

A:

Q: 35. Lim x2-1 X1 X-1

A: Given,             limx→1x2-1x-1

Q: B] Find the domains of the following relations. Write them in interval notation. 1) f(x)=√x-9 2)…

A:

Q: Use Green's Theorem to evaluate 90 O O -384 O -48 fayd r²y² dr + (yr³+ y²) dy where C' is shown…

A: As we know from Green's theorem: ∫cMdx+Ndy=∫∫R∂N∂x-∂M∂ydA Where, ∬dA=∬dxdy or ∬dydx And We know the…

Q: Find each of the following. Write DNE if the limit does not exist. lim f(x) = x-1 Find each of the…

A: Topic - Limits

Q: f(x)=(x-6)³+4, [4,7],f(c)=3 3

A:

Q: Set up an integral for the area of the shaded region Evaluate the integral to find the area of the…

A:

Q: Find the Solution to the Differential Equation (x+2y) dx - (2x-y) dy=0

A: The given differential equation, x+2ydx-2x-ydy=0 use the integral formulas,…

Q: Find the distance of the point (4, 2, −4) from the line r(t) = (−1+ 2t, 1+ 2t, 7 – 3t). Answer:

A:

Q: Use Green's Theorem to evaluate >[2²y² dz + (yz²³ + y²) dy where Cis shown below. 90 O-384 O-48…

A:

Q: In Problems 1-6, identify the equation as separable, linear, exact, or having an integrating factor…

A: Dear Learner,We expert are following bartleby expert guidline so we can answer only one question.…

Q: C. Find the standard form of the equation of a circle given the following conditions. 12. Center at…

A: Find the equation of the circle whose centre is at (2,m), radius is twice the y co ordinate of the…

Q: The derivative of e" is e. What is the derivative of e? There are two functions named 'sinh' and…

A:

Q: im (x²-C² if X<4 1 f(x) = {(x+5 x²-c² (x + 5 if x = 4 lim

A: Given:-x2-c2   if x&lt;4cx+5    if  x≥4f(x) is continuous at x=4solution:-if f(x) is continuous at…

Q: im -3 1 x+5 8 x-3 ►

A:

Q: Find the domain of the function. (Enter your answer using interval notation.) G(x): 8x + x X Sketch…

A: Solution ) G(x) = (8x + |x| )/x G(x) = 8x/x + |x|/x  G(x) = 8 + |x|/x  If x = 0 G(x) = 8 + 0 = 0 If…

Q: 1) f(x) = *-1 x+2 Find a) f(1) b) f(a + 1)

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 4) xy' + y = xyy'

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: 51. Lim ex-1 хто егу +2ex-3

A: