Express the function by a formula: 1.The volume of the cube as a function of the length of an edge

Q: The height h in feet of a ball t seconds after being tossed upwards is given by the function…

A: The height h in feet of a ball t seconds after being tossed upwards is given by the function ht =…

Q: Differentiate the function. G(x) = {/,? + 2x G'(x) = D

A: The given function is Gx=x7+2x4. Obtain the derivative of Gx=x7+2x4 as follows.

Q: The height of a right cylinder is 4r, where r is the radius. Write a function f in simplest form…

A:

Q: write the length L of the rectangle as a function of y.

A: Given a figure. We need to find the distance 'L' in terms of 'y'.  Let's find out.

Q: Given the following function, determine the difference quotient, h f(x) = 3x – 2

A: f(x)=3x-2f(x=h)-f(x)h

Q: landscaping

A: We will find a linear equation.

Q: The height in feet reached by a baseball tossed upward at a speed of 48 feet/second from the ground…

A:

Q: -a2 – 2x³, -1 < x < 0 (iii) f(x) =| x2 + 2x³, 0 < x <1

A: Function are Spline

Q: The value, V, of a Van Gogh painting increases with time according to the following relation, V =…

A: Solution :  Given that   V = 84000(1.173)t    where t is the number of years since 1947

Q: The height of a right cylinder is 2r , where r is the radius. Write a function f in simplest form…

A: Since, it is given that the height of a right cylinder is 2r.Our Aim is to write a function f in…

Q: b. Reflected over the x-axis, vertical compression of 2/3 and moved up 5

A: Here we have to write the equation of quadratic transformation of " Reflected over the x-axis,…

Q: The surface area (in square meters) of a particular mammal is approximated by the function A(M,H) =…

A:

Q: m(x) = |x| + 8 %D

A:

Q: he sand is uneven whereby the surface height, in metres, measured fr ottom of the container, is…

A: In the given question, the concept of volume is applied. Volume The volume of Cuboid is given by…

Q: The height of a right cylinder is 3r, where r is the radius. Write a function f in simplest form…

A:

Q: The depth in feet, D, of a scuba diver can be modeled by the function D(x) = -ř + 12r + 4, where x…

A:

Q: The total revenue for Jane's Vacation Rentals is given as the function R(x) = 400x - 0.4x2, where x…

A: Solution of question is written in below steps.

Q: find the value of the constant (a, b, or c) that makes the function continuous. (x2 - c 4x + 2c for…

A: For limits to be continuous left hand limit must be equal to right hand limit and equal to limit at…

Q: The value of Mr. Watanabe's stock portfolio is given by the function v(t)=50+731-3r², where v is the…

A: Here the value is given by the function v(t) = 50 + 73t - 3t2, we have to calculate the value of the…

Q: Evaluate the function 511. h(t) = 4|t − 1| + 2; h(−3

A:

Q: Differentiate the function. 1 + 16t² 30. D(t) : (41)³

A:

Q: State the excluded values for the function: f (x) = 7+150+56

A:

Q: Graph the function using translations. f(x) 3*+1 4

A: Given, y= 3x+1 Let y=0, 3x+1=0 Therefore, x-intercept doesn't exist.   Let x=0, y= 31+0=31 y= 3…

Q: the five remaining trig functions.

A:

Q: Use the table, along with dimensional analysis, t

A: Given,              2078 in3

Q: Assume a box has a square base and the length of a side of the base is equal to twice the height of…

A: Volume of cuboid= lbh  surface Area=2(lb+bh+hl)

Q: Given the function g(x) = 9 – x², evaluate IX + h) – g(x) h ± 0. h

A:

Q: 40 Use the table to estimate f(x)d=

A: Given,     x 0 10 20 30 40 f(x) 330 410 430 460 490 To estimate :              ∫040f(x)dx=?

Q: Given the function f(x) = 6+ 6x², calculate the following values: f(a) f(a + h) f(a + h) – f(a) h

A: The function is given by fx = 6+6x2 To evaluate: The expression of fa+h-fah

Q: Differentiate the functions. ?????? ?????????? ??  y=(1+t)²/t²

A: given function       y = (1+t)2/t2

Q: Rick's lumberyard has 380 yd of fencing with which to enclose a rectangular area. If the enclosed…

A: The lumberyard is having 380 yd of fencing which means the perimeter of lumberyard is 380 yd. Length…

Q: per er The perimeter of a rectangle is 32 cm. Express as a function the area A of the rectangle in…

A: Please refer to the image below

Q: h(t) = t³/ln t %3D

A:

Q: The length of a rectargle is 3 inches lorger than 4 times the width (x). Which is the arealy…

A: The length of rectangle is 3 inches longer than 4 times the width.

Q: Differentiate the function.   S(p) =4 π R2

A: Let's differentiate with respect to R

Q: Suppose you plan to take a 500-mile trip ina car that gets 35 mi&gt;gal. Find the function C = f1p2…

A: Please refer to the image below

Q: The demand function for specialty steel products is given, where p is in dollars and q is the number…

A: Given: p=120140-q3

Q: Differentiate the function.

A: Given: y=aex+bcex+d we know that  ddxuv=vdudx-udvdxv2                                            ..1

Q: Differentiate the given function. y = (9x + 4) y'=D %3D

A:

Q: Given the function f(x) = 3x? – 7x + 8. Calculate the following values:

A: Given ,  fx=3x2-7x+8

Q: A printing service charges a set-up fee of $14.00 for each order and 5 cents more for each copy. The…

A:

Q: The water level, measured in feet above mean sea level, of Lake Lanier in Georgia, USA, during 2012…

A: Given L (t) =0.01441t3 – 0.4177 t2 + 2.703 t + 1060.1 We have to find when the water level was…

Q: Find and simplify the difference quotient f(a + h} – f(a) for the function. (x) = 5Vx

A:

Q: Rick's lumberyard has 240 yd of fencing with which to enclose a rectangular area. If the enclosed…

A:

Q: Given the function f(x) = 6 + 4x², calculate the following values: |3| f(a) = f(a + h) = f(a + h) –…

A: the function we have is  f(x)=6+4x2

Q: Differentiate the function with respect to the independent variable. h(t) = t - 7t+2 h'(t) =O

A: Given function, h(t)=92t2-7t+2

Q: The function f(x) = 3x + 10 has a vertical shift of how many units? %3D

A: The graph of the given parabola equation is

Q: A 300-room hotel collects $75 per occupied room and does not collect any money for vacant rooms.…

A: Given Data: The total number of rooms in the hotel is: T=300 rooms The amount collected from the…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.