Between 0°C and 30°C, the volume V (in cubic centimeters) of 1 kg of water at a temperature T is given approximately by the formula V = 999.87 0.064267 +0.00850437² 0.00006797³ Find the temperature at which water has its maximum density. (Round your answer to four decimal places.) T = °C

Q: 2. point Find the largest interval on which the Existence and Uniqueness theorem for hi order linear…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: d²s Find the position of a body moving on a coordinate line at time t for an acceleration a = - v(0)…

A: a=d2sdt2=8e2t v(0)=20,  s(0)=6

Q: dx 3 Assume that x = x(t) and y = y(t). Let y = x³ +7 and 4 when x = 1. dt Find dy dt || dy dt when…

A: given  y=x3+7dxdt=4  when x=1we know d dx(xn)=nxn-1d dx(constant)=0

Q: At what rate is the angle between a clock's minute and hour hands changing at 5 o'clock in the…

A: At 5 o'clock, the hour hand has moved 5/12 of the way around the clock, or 5/12 * 360 = 150 degrees.…

Q: DISTANCE (metres) 8 20 Charlie because 0 2 4 6 8 10 LA A Albert Bob Charlie 12 TIME (seconds) 14 How…

A: We have given a graph with three racers. We have to find who won the race and average speed of…

Q: Its initial temperature is 192 degrees. After exactly 9 minutes, it has cooled to 155 degrees.…

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

Q: Solve like in samples image i given.  2. f(x)= 3x²+4x+3 Handwriting

A: To find the derivative of the function. fx=3x2+4x+3

Q: Sketch the region enclosed by x + y² = 6 and x + y = 0. a) Favoring convenience, should you…

A: X+y2=6......1 X+y=0.......2

Q: Sketch the region of integration, reverse the order of integration, and evaluate the integral. 1/128…

A:

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

A:

Q: a. Write the equation of the line that represents the linear approximation to the following function…

A:

Q: Sketch the curve of the given function analyzing the following. 2 -12x-4 y 1) Find all the…

A: y=fx=-12x2-4x3 Note:- Since you asked multiple subparts ,according to our policy we can solve first…

Q: 4 √16-x² 3 SS S 1 + -dz dy dx = -4 0 (Type an exact answer, using as needed.)

A:

Q: The figure shows a sector of a circle with a central angle 0. Let A(0) be the area of the segment…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: =- Determine the values of c and d for f(x) = fƒ (7) = 0. For what value(s) of x is f(x) increasing?…

A:

Q: Finite Math - Graphing Linear Inequalities: - Sketch the region that corresponds to the given…

A:

Q: We suggest you use technology. Graph the region corresponding to the inequalities. 2.3x 2.4y ≤ 2.5…

A: 2.3x-2.4y≤2.54.0x-5.1y≤4.46.1x+6.7y≤9.3  Graph the region corresponding to the inequalities.

Q: 2 [dz - dr by computing left-hand and right-hand sums with 3 and 6 subdivisions of equal length. You…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: (d) y" + y = 2x sin(x).

A: We have to find the solution of differential equationy''+y=2xsinx by the method of undetermine…

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

A:

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

A:

Q: This is similar to a problem in the textbook. t (seconds) 0246 8 H+ Velocity (ft/sec) 0 481430 Shown…

A:

Q: D Question 11 O 175m Find the volume of the solid generated by revolving the region about the given…

A: The region in  the first qushant bounded above by the line y=5. below by the line y= 5x/3 and on the…

Q: Given x+y+z=3 and Po(1,0,2), find the following. (a) Find the equation for the tangent plane at the…

A:

Q: Problem #4: Which of the following is an equation of the tangent plane to the graph of f(x,y) (8, 1,…

A: Step 1 : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: If 900 square centimeters of material is available to make a box with a square base and an open top,…

A: As we know that Volume of the box = Area×height For largest volume , either dVdx = 0 or dvdy = 0

Q: Each of the following questions carries the stated number of marks. Write your answers in the space…

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: Use substitution to find the indefinite integral. [8(8x-14) dx

A:

Q: um is pumped into a spherical balloon at a rate of 5 cubic feet per second. How fast is the radius…

A:

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A:

Q: bx Tim (1+2) b 818

A:

Q: Corn silos are usually in the shape of a cylinder surrounded by a hemisphere. If the volume of a…

A:

Q: 4. The duck population near a small lake can be modelled by the d(t) = 0.5(t² + 8) (t + 4) Where t…

A: given that , duck population function is given by :-d(t) = 0.5(t2+8)(t+4)where  t is time in years…

Q: Find the volume of a pyramid with a square base, where the perimeter of the base is 4.7 cm4.7 cm and…

A: We need to find volume of pyramid for given data.

Q: This is similar to a problem in the textbook. Year 1950 1960 1970 1980 1990 Rate of change (million…

A:

Q: Suppose dy/dx=2x(x^2+3)^2 and y(0)=2. what is y(2)?

A: given dydx=2x(x2+3)2 y(0)=2we know  ∫xndx=xn+1n+1+c

Q: Find the vector equation that represents the curve of intersection of the cylinder x² + y² = 16 and…

A:

Q: Find the derivative of the function at Po in the direction of A. f(x,y) = 5xy-3y². Po(-6,2), A=i-2j…

A:

Q: Find given: z= xe*y, x= t, y= 3 + 2t dz dt Your answer should only involve the variable t

A: given  z=xe5yx=t6y=3+2twe know dzdt=∂z∂x×dxdt+∂z∂y×dydtd dt(tn)=ntn-1

Q: Medicine The graph shows the estimated number of milligrams of a pain medication M in the…

A: We have given a graph and we have to find the average rate of change over interval [3,5]

Q: 2. Let f(x) = 3x55x³ + 1. (a) Find the intervals on which the graph of f is increasing, decreasing,…

A:

Q: Resource Allocation   Podunk Institute of Technology's Math Department offers two courses: Finite…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Consider the function f(x) = (a) Give the local maximum and minimum values of f(x). Enter your…

A: This question is related to Application of derivative.

Q: An open box is to be made out of a 10-inch by 14-inch piece of cardboard by cutting out squares of…

A:

Q: Find the volume of the region bounded above by the surface z = 6-y² and below by the rectangle R:…

A: To find the volume of the region bounded above by the surface z=6-y2 and below by the rectangle R: 0…

Q: 1. Name the curve with the given polar equation 4 4 1+ cos 0 1 + 2 sin 0 a. r b. r = c. r = 6 2 +…

A: (a) r = 41+cosθ (b) r = 41+2sinθ (c) r = 62+sinθ

Q: use linear approximation to estimate (4.01/sqrt9.02). write your answer as a simplified fraction

A:

Q: Set up but do not evaluate the triple integral 2 JB E exy dV where E is the solid

A:

Q: Sand is being poured at 2 m³ / min into a pile that takes shape of a cone. If the height of the cone…

A: Sand is being poured at 2 m3/min into a pile that takes shape of a cone.  If the height of the cone…