(x) = X+4 X-4

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given…

A: given vertex is (1,-1)passing througt point (2,3)standard form of parabola is y=a(x-h)2+k where…

Q: Given the function f(x) = sinx+cosx on the interval [0, 27], find any critical number intervals on…

A:

Q: it says the maximum isn't -634 and the minimum isn't 63 should I switch them ?

A:

Q: The radius of a spherical balloon is increasing at a rate of 2 centimeters per minute. How fast is…

A:

Q: Which of the following is true of Select the correct answer below: 36 The integral converges to…

A: Definite integral

Q: Sketch the graph of the given function. Identify any local extrema and points of inflection.…

A:

Q: 2√√/2x-x2 S S 0 0 5√x² + y²dydx

A:

Q: Show that among all triangles with fixed perimeter, the one with largest area is equilateral.

A: as per guidelines we are supposed to answer first question only

Q: For what value of the Constant c is the function F defined below continuous on (-00,00)? Fly= { Y²-C…

A: A function,

Q: Given that x and y are functions of time, find the indicated rate of change. dy dt dx Find when x =…

A:

Q: Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an…

A: f(x)=-x2+8x+1   on [6,9](i)  d dx(xn)=nxn-1(ii)  d dx(constant)=0

Q: Find Vz. 7xe³y x + 3y NOTE: Give your answer in unit vector notation; that is, in terms of i and j.…

A:

Q: Suppose dy/dx=(2x-3)e^x2-3x and y(1)=4. what is y(2)?

A:

Q: 1. Alex finds that the demand for their lemonade is given by x = 2/p where p is price per cup and x…

A:

Q: An improper double integral can often be computed similarly to an improper integral of one variable.…

A:

Q: Find a unit vector in the direction in which f(x, y) = 3r'y increases most rapidly at P(−1,1), and…

A: We need to find unit vector and rate of change.

Q: A pot of soup is removed from a burner on a stovetop. Its initial temperature is 197 degrees. After…

A: A pot of soup is removed from a burner on a stovetop. Its initial temperature is 197…

Q: 39. F(s) = -2 2 5²-1 1 S-1 1 S+1

A: Solution- Given function is, F(s)=2s2-12s2-1=1s-1-1s+1 We know L-1(1s-1)=et L-1(1s+1)=e-t

Q: 1 4- 3 2 1 -2 -3 -5 4 V = 2 The graph above shows the base of an object. Compute the value of the…

A:

Q: Find the directional derivative of f(x, y, z) = in the direction from P to Q(2, 4, -1). NOTE: Enter…

A: We have to find the directional derivative of f (x, y, z) = (2y) / (x+z) at P( 5,2,-4) in the…

Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. lim…

A: limx→∞x+5-x+6

Q: Find a unit vector in the direction in which f(x, y, z) = 3x³z² + 3y³z + 24z − 5 increases most…

A:

Q: Find a general solution to the differential equation. y''(0) + 4y(0) = 4 sec ³20 The general…

A: As per guideline we can solve maximum one question you can repost others

Q: A small rural town has recently discovered that a nearby lake has been heavily contaminated with…

A: The given function p=fx=100x76+x, where x is the amount spent in million of dollars and p is the…

Q: Which of the following is true of 2- dx? 2 (x+1) 9 Select the correct answer below: 3 The integral…

A:

Q: Consider the following graph. y N 3 1 2 3 4 5 6 -5 -4 (a) Find the interval(s) on which is…

A: from the definition of inflection point , we will find its coordinates .

Q: 38. F(s) = 4s s²-4 hits ( 2 2 + s+2 s-2 loomul qui

A:

Q: A parked car dripping transmission fluid is creating a circular puddle whose area (in square inches)…

A:

Q: If k(x) = 249(z) and k(4) = 2, then k' (4) = 8 ln(2) - 1 8 ln(4) +1 O-8 In (2) + 1 ○ In (2) + 1 0¹ 4…

A:

Q: Find a power series representation for the function. f(x) = f(x) Σ( n = 0 = 4 5 – x -

A:

Q: Find the volume of the following solid. 2 2 The solid bounded by the paraboloid z = 19-4x - 4y and…

A:

Q: Find the directional derivative of fat P in the direction f(x, y) = 3x³y¹; P (5, 1); a = 7 i − 24 j

A: given function is :-f(x,y)=3x3y4point  P(5,1) and  a = 7i-24jthen we have to find directional…

Q: The radius of a circular oil slick expands at a rate of 2 m/min. (a) How fast is the area of the oil…

A: Radius of a circular oil slick expands at a rate if 2 m/min That means  dr/dt = 2 m/min

Q: Use the geometric series formula 1 1-y = n=0 y" to express the function as a series:

A:

Q: Set up but do not evaluate the triple integrals that give the volume of the region bounded by the…

A:

Q: A 16 ft ladder leans against a wall. The bottom of the ladder is 3 ft from the wall at time t = 0…

A:

Q: A spherical snowball is melting. If its volume is decreasing by 450 cubic centimeters per hour when…

A:

Q: Find the gradient of f at the indicated point. f(x, y) = sin x² + cos 3y; NOTE: Give your answer in…

A:

Q: A rain gutter is formed by bending up the sides of a 56-in.-wide rectangular metal sheet as shown in…

A:

Q: #2 24 12 10 10 U 6 2 -2 9+-3-12=3=y 10 스니 (43) (x-1)+(y-3)=1

A:

Q: A population of bacteria is growing according to the equation P(t) = 850e0.03t. Estimate when the…

A:

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x² - 2xy + y²,…

A:

Q: Calculate the area of the shaded region in the given figure (3p, p) (p) 79 7p Parabola curve

A:

Q: Evaluate 10 3 (x-9)6 dx. Select the correct answer below: 6 5 O The integral converges to O The…

A:

Q: Find a formula for the nth term of the sequence in terms of n. .3 1 5 5² 5³ 5 9' 12' 15' 18' 21

A: denominator is the multiple of 3 starts with 9 so we can see that denominator can be written as…

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x² - 2xy + y²,…

A: equation of tangent plane for a function f( x , y ) at point ( a , b , c )( x - a )∂f∂x + ( y - b…

Q: Evaluate the following limit. lim X→∞0 1 + 3 X² 2x²

A:

Q: Your calculator can be used to directly estimate definite integrals. (See the calculator tutorial.)…

A: ∫026x+22 dx  Use the calculator to estimate the definite integral.

Q: Suppose dy/dx=3/1+9x^2 and y(pi/4)=2  what is y(3pi/4)?

A:

Q: Find the average distance between points of the disk ({(r,0): 0 ≤rs 4) and the origin. The average…

A: r,θ:0≤r≤4