One Apple One Avocado Calories 100 350 Carbohydrates (grams) 24 14

Q: Determine whether the relation is a function. Give the domain and range for the relation : {(3, -2),...

A: we have to determine whether the relation is a function or not also we have to write there domain an...

Q: A marathoner ran the 26.2-mi New York City Marathon in 2.2 hours. Show that at least twice the marat...

A: Calculate the average speed as below. Average speed=26.2m2.2h=11.909 mph

Q: If y = x2 and dx/dt = 3, then what is dy/dt when x = -1?

A: We have to find dydt where y=x2, dxdt=3 and x=-1 We know the formula of differentiation, dxndt=nxn-1...

Q: 8. y' = y(0) = 1

A: Consider the provided differential equation, y'=-ty,   y0=1 Solve the provided initial differential ...

Q: The scalar component of H parallel to the line y=1, z=2 where H = -2a, + 3as- 4a, at p (1,90, 2) -3 ...

A: Given: H=-2aρ+3aϕ-4az p=1,90,2

Q: Use limit methods to determine which of the two given functions grows faster, or state that they hav...

A: Consider the given function as fx=100x,and gx=xx

Q: Please explain it in an easy to understand way. Is f(x) = x^2 + 1 a standard form or a vertex form o...

A: Generalize the standard, vertex and factored form of a polynomial. Standard form: ax2+bx+c Vertex fo...

Q: Derivatives Find the derivative of the following functions for the derivative of√ x. ƒ(x) = 10x4 - 3...

A: Given- fx=10x4-32x+e2  To find- The derivative of the following functions for the derivative of x. I...

Q: Find the following using the table below. 1 2 3 3 2 4 f(x) f'(x) 9(x) (2),6 4 1 3 1 4 3 4 2 1 1 2 3 ...

A:

Q: a. Verify that the given point lies on the curve. b. Determine an equation of the line tangent to th...

A: The given equation is siny+4x=y2 on π24, π. Substitute x,y=π24, π in siny+4x=y2 and check as follows...

Q: The difference between two numbers is 8. If one number is represented by x, the other number can be ...

A: Let two numbers be a and b assuming a is greater than b or a>b. Given that difference between two...

Q: 72. Transformations The graph of f is given. Draw the graphs of the following functions. (a) y = f(x...

A: NOTE- As we are allowed to answer three subparts per question in a single session so, i have solved ...

Q: Find the moments of inertia about the coordinate axes of a thin rectangular plate of constant densit...

A:

Q: The Chain Rule Use equation (2) of the Chain Rule to calculate the derivatives of the following func...

A:

Q: The rectangle shown here has one side on the positive y-axis, one side on the positive x-axis, and i...

A: Two sides of triangle are on positive x and y-axis. So, one vertex of the rectangle is the origin.  ...

Q: Evaluate the integral ∫dz/1 + ez

A: Concept:   The calculus helps in understanding the changes between values that are related by a func...

Q: Suppose div F = 0 in a region enclosed by two concentricspheres. What is the relationship between th...

A: Apply the divergence theorem for the hollow region which is bounded by 2 surfaces. Consider D as the...

Q: Use the graph to determine a. the function’s domain; b. the function’s range; c. the x-intercepts, i...

A: according to given graph domain is x∈R, range is y∈R, x-intercept is 4, y-intercept is 4 and f-1=5

Q: Prove that Vn(I) is a vector space

A: Prove that VnI is a vector space.    

Q: (c) Compute the inverse Fourier transform for the function Is| 4 F(6) = { -s, 0, * -s,

A:

Q: Start with the graph of y = ln x. Find an equation of the graph thatresults from reflecting about th...

A: Given: y=lnx equation of the graph that reflecting about y-axis will be y=ln-x

Q: Solve the equation sin 2x = √3 sin x on the interval [0, 2π). Use exact values where possible or giv...

A: We have to solve the equation: sin 2x=3 sin x in the interval x∈[0, 2π) We know the identity, sin 2x...

Q: The graphs show that the three components of love, namely, passion, intimacy, and commitment, progre...

A: Given interval: x| 7<x<9

Q: Evaluate the integrals.

A: Given: ∫14v+vvdv

Q: Show that the sine integral satisfiesthe (differential) equation xS'(x) + 2S''(x) + xS'''(x) = 0.

A: Given information: Sx=∫0xsinttdt To prove xS'x+2S"x+xS'''x=0

Q: Use a change of variables or Table toevaluate the following definite integrals.

A: the given integral is: ∫065dx25x2+36 we have to evaluate the given integral.   let the given integra...

Q: 4. The position of a particle travelling along a horizontal line in t seconds is s(t) = 2t3 – 15t² –...

A: Given- st=2t3-15t2-144t+7 To find- The time intervals in which object is slowing down or speeding up...

Q: Use a Taylor polynomial of degree 4 to approximate the number √(1.1).

A:

Q: Find the following using the table below. 1 2 3 4 f(x) f'(x) g(x) gʻ(x) 1 2 3 4 2 4 3 1 4 2 4 1 2 3 ...

A: By the product rule of derivative and divison rule of derivative 

Q: Explain why a function that is not one-to-one on an interval I cannot have an inverse function on I.

A: Inverse of a function is possible if function is one-to-one. A function is said to be one-to-one if ...

Q: Solve each of the following word problems. Show your Solution. a. The product of two numbers is 12, ...

A: a. The product of two numbers is 12, and the sum of their squares is 40. What are the numbers: As gi...

Q: Areas of triangles Find the area of the following triangles T. The vertices of T are O(0, 0, 0), P(1...

A: Given: The vertices of a triangle T are O(0, 0, 0), P(1, 2, 3), and Q(6, 5, 4).

Q: If a function ƒ(x, y) has continuous second partial derivatives throughout an open region R, must th...

A: