QUESTION 1: f(x)=ax2+bx+c Suppose you don't know the exact values of a, b, and c, but you know that they are all positive (so a, b, c > 0). By how much will the value of ∂f(x)dx increase if c were to increase by 19.43 when x = 4? (Round your answer to the nearest hundredth) BOX YOUR ANSWER

Q: a) The voltage, Vc in a capacitor is given by: Vc = 1/1(t)dt where C is the capacitance in Farads…

A: Given: The voltage, Vc in a capacitor is given by:Vc=1C∫I(t)dtwhere C is the capacitance in Farads…

Q: Part B Blueberry high-fiber muffins contain 57 % dietary fiber by mass. If a package with a net…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: A graph of y = f(x) is shown. In the same coordinate system, sketch a graph of the derivative…

A: A graph of y=fx is shown. In the same coordinate system, to sketch a graph  of the derivative…

Q: The position function of a moving particle is given by p(t) = 1² - 15t +49 feet at t seconds. Find…

A: given potion function is p(t)=t2-15t+49t is in seconds given partical speed is 5 ftsformula for…

Q: What does x = 4 represent in xy-plane? Sketch this 2D representation. What does x = 4 represent in…

A: Given: What does x = 4 represent in xy-plane? Sketch this 2D representation. What does x = 4…

Q: Find the critical point of the function f(x, y) This critical point is a: [Select an answer ✓ 3x +…

A: The given function is;  f(x,y)=3-3x+8x2+8y+2y2

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 8- |x| 8 + x lim X-8

A:

Q: Solve equation on the interval 0 ≤ 0 < 2π. (Enter your answers as a comma-separated list.) 32 cos² 0…

A:

Q: Find the average rate of change for the indicated values of x. f(x)=2x-4, x₁=6, x₂ = 8 The average…

A: Given: f(x)=2x-4, x1=6 and x2=8

Q: Consider the functions. f(x) = - x³ 11x and g(x) = 5x lot y = f(x) and y = g(x) on the same set of…

A: We are asked to find the area of the given curve

Q: Describe the surface. y² + 72² = 7

A:

Q: State the region enclosed by the given curves and find its area. y = √x – 1, x − y = 1

A:

Q: Level 1: 1. Adele, Beyonce, and Cher live within 15 miles of each other, as shown on the map. Level…

A:

Q: Find the limit: lim x → 49 X x 7 49 Give your answer to at least three decimal places:

A:

Q: An inverted cone of top radius 5ft and depth of 6ft is continuously being filled with water at a…

A: An inverted cone of top radius 5 ft and depth of 6 ft is continuously being filled with water at a…

Q: Find the limit. (If an answer does not exist, enter D √x+7-6 X - 29 lim X→ 29

A: solution:-limx→29x+7-6x-29=limx→29x+7-6x-29×x+7+6x+7+6

Q: If consumer demand for a commodity is given by the function below (where p is the selling price in…

A:

Q: If you deposit $2,420 in an account earing 3.6% interest compounded continuously, how much will the…

A: As per the formula of continuous compounding A=PertwhereA=Final AmountP=Initial Amountr=Annual rate…

Q: T √ V A different radius --radius is 1-3-inches-- We just calculated the instantaneous rate of the…

A: What about the instantaneous rate of the radius when the radius is 13 inches? Would it be…

Q: Determine the particular solution that satisfies the differential equation and initial condition…

A:

Q: A person standing at the edge of a cliff throws a rock upward from a height of 240 ft above ground…

A: A person standing at the edge of a cliff throws a rock upward from a height of 240 ft above ground…

Q: 3. Evaluate lim sin.x 00++x X 4. Evaluate lim √xecos (²7) +0<x

A:

Q: The conversion factor used to convert 55.6 km to miles is ► View Available Hint(s) O 1 km 1.61 miles…

A: Given query is to find the conversion factor.

Q: Which of the following functions f has a removable discontinuity at a? If the discontinuity is…

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

Q: Use traces to sketch the surface. (If an answer does not exist, enter DNE. Select Update Graph to…

A:

Q: -1 DETAILS 1.518281828 [0/0.71 Points] Set up an integral for the area of the shaded region.…

A:

Q: Distance From Water (ft.) 0 T √ 4 8 12 Time (sec.) Here is Luca's graph. Use the graph to answer the…

A: Given:

Q: Calculus for Engineers Solve for the solutions of the given quadratic equations and system of…

A:

Q: 1. Graph a few level curves for z = 6 - 2x - 2y. What shape is this?

A:

Q: The profit function of Brackets Inc, LLC for 3 inch steel brackets is P(x) = 127x – x² – 2626. Find…

A:

Q: Refer to the following plot of some level curves of f(x, y) = c for c = -2, 0, 2, 4, and 6. (Each…

A: Solution: Given That: By consider the plot and analyze that contours c of the function f are…

Q: Write an equation whose graph could be the surface shown. 1 Z= X ZA

A: see below the answer and explanation

Q: Suppose that three geological study areas are set up on a map at points A(9, 12), B(5, 13), and C(0,…

A: Using the data in the given question we are required to estimate the location of the earthquake.

Q: Find a function f and a positive number a such that f(x) = a= 2+ + f² f(t) dt = 6x - t5 a x > 0

A: 2+∫axf(t)t5dt=6x-3dxndx=nxn-1d dx(constant)=0we know d dx(∫ax(f(t)dt) )=f(x)×dxdx+f(a)×d dx(a)

Q: Calculate the distance between the points K+(-2,-2) and F((2,1) in the coordinate plane. Give an…

A:

Q: At noon, the tide is at mid tide of 11 feet. At 6:00 pm, the tide is at low tide of 3 feet. At 6:00…

A:

Q: When a species of pigs is introduced onto an island, its population increases 15% each year. This…

A: Given equation P = k( a )t where k and a are the constantsP = population after time t

Q: A solid lies between two planes perpendicular to the x-axis at x = 0 and x = 12. The cross-sections…

A: Given figure:-

Q: Find and classify the discontinuities of the following function as removable or nonremovable. If a…

A:

Q: A function is defined as f(x, y) = xy x² + y² -1, lim f(x,y). Determine (z,y)-(0,0) cos (xy), (x, y)…

A:

Q: State the region enclosed by the given curves and find its area. x = y¹, y = √√√2 — x, y = 0

A: To state the region enclosed by the given curves and to find its area. x=y4, y=2-x, y=0

Q: Perform the following calculations and report the answers to the correct number of significant…

A: Solving the following problems

Q: If the radius of a cylinder is the height of the cylinder, express the volume of the cylinder as a…

A:

Q: Suppose f is a continuous function on [-2, 2] such that f(-2) = 1, f(2) = -1. Which of the…

A:

Q: how to use the product rule in derivatives

A: Topic = Derivative

Q: Suppose the binomial expansion of (5x + 4y)" includes the term 1400000x¹y³. 4,3 The xy³ term in the…

A:

Q: 2. (D4-5D2 - 6D - 2))y = 0 3. (D² + 6D + 1)y = 0 4. (2D³D²+ 36D - 18)y = 0

A:

Q: When Jason was cleaning up his room, he found four types of items: books, legos, dolls and trading…

A:

Q: Consider the differential equation y'= -2x .

A:

Q: F(s) = 6s+17 s²+8s+17

A: