Consider the equation y' + 5y = 2. Show that the function o given by: %3D 2 $(x) is a solution, where c is any constant.

Q: Find the derivative of the function. 9(t) = ¿2 15 g'(t) =| 21 + 14

A: Given query is to find the derivative of the expression.

Q: 2.3 Assume that the relation z +x*y° + tanh (2xz + 6x°y² - 26) 65 + 37y defines y = - implicitly as ...

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) Vi + t2 lim t- o 9t - t2

A:

Q: dP VPt. P(1) = 2 dt %3D

A:

Q: 4. y(4x + y)dx – 2(x² – y)dy = 0 - dy 5. y+x = Vx² + y² dx

A:

Q: Given: f(x) = 1/x, find f(0.01+h) - f(0.01) / h

A: f(x) =1/x 

Q: Let f(x) = 7x- 13x-6, x2 1.5. Find the value of df 1 at the point x 234 = f(4). dx The value of dx (...

A: Given query is to find the the value of inverse function.

Q: Derivatives. Find the derivative of the following functions. Note: It is not necessary to simplify (...

A:

Q: Solve the separable differential equation dx 8 dt and find the particular solution satisfying the in...

A:

Q: 1. Use the function g(x) = 2-9 a. Use a calculator to graph g(x). Make sure you have a window that i...

A: Vertical asymptote are vertical lines which corresponds to the zeros of the denominator of a rationa...

Q: only c and d

A:

Q: Given the curve p(x)=x2+8, find the point on p(x) is closest to the point (3,8). Enter your answer a...

A:

Q: Suppose f(2) is an invertible and differentiable function. Given the following table x f(x) f'(x) 1 ...

A:

Q: Find the derivative of the function. 4.r y = +3 y'(x)

A:

Q: Find the differential of the function. et ex - 9 dy = %3D

A: Topic = Derivtive

Q: JA large cube of ice melts such that it maintains its shape. The surface area is decreasing at the r...

A:

Q: 2. for the augmanted matrix

A:

Q: Determine whether the variation model represented by the ordered pairs (x, y) is of the form y = kx ...

A:

Q: 19) y= 2) y= [(3a?+22) (x -2)]

A:

Q: Find a direct variation model that relates y and x. х%3D 5, у %3D 12

A:

Q: 9. k(x) = 3(x- 1)-

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

Q: 3. (w - 3x +3)dw + ( 3w + x + 9)dx=D0

A: SOLVE THE DIFFERENTIAL EQUATIONS. 

Q: termine whether the Series is convergent ordivergento Write e exact Test thut you use. Inn

A: Given query is to find limit of the expression.

Q: Find the absolute maximum and minimum values of each function over the indicated interval, and indic...

A:

Q: *The Chain Rule of Differentiation A. Directions. Decompose the follawing functions and complete the...

A: 1)  y=(4x-7)3Solution: u = g(x)u  = (4x-7)_______________y = f(u)y= u3

Q: Use the graph of f to state the value of each quantity, if it exists. If infinite, specify either o ...

A: We have to find the limit at the given function from the given graph.

Q: Determine the signs of f' and f" for each of the intervals. y = f(x) A Bc'D'E'F'G

A:

Q: Use the properties of logarithms to evaluate each of the fol -17 (a) 3 Ine + Ine (b) log, 20 – log, ...

A:

Q: Using Demofer's Theorem

A:

Q: Write a polynomial in standard form that has the following characteristics. leading coefficient: -2...

A:

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

A:

Q: Use logarithmic differentiation to find the derivative of y with respect to the given independent va...

A: In this question we have to find the solution using logarithmic differentiation.

Q: S coslnx dx

A:

Q: 2. Use projections or transposes to determine the least squares quadratic that best fits the points ...

A: Yo determine the least square quadratic that best fits the points.

Q: Exponential Model. In an introductory biology lab at Brock University, students observe a certain ba...

A:

Q: dy Solve dt = 5(y – 10), y(0) = 8 || y(t)=

A: This question can be solved by the concept of differential equation using variable separable method.

Q: 4x² + + ах + a + 12 lim x² + x – 2 X--2

A:

Q: A 33°\b 200' 63° B Vertices A and B of AABC are on one bank of a river and vertex C is on the opposi...

A: We use sine rule to find the solution.

Q: Find the area of the region between the curves y = x^3, y = -x, and y = 1. Round off to two decimal ...

A:

Q: Suppose for a particular commodity, e=.75 and that currently 40,000 units are selling for $8 each. h...

A:

Q: Forces of 10 and 20 pounds act on a point at an angle of 45º with respect to each other. Find the ma...

A: Solution is written in below steps.

Q: et f (x), g (x), h (x) be differentiable functions. Suppose g(x) is invertible. iven that f (2) = -,...

A: Given query is to find the derivative if the expression.

Q: Find the derivative of the function. +

A:

Q: 23 c) [[(x?y +1) dx dy answer: 10.5 1 2

A: Taking integration. 

Q: Determine whether the function has an inverse function. Зх + 7 f(x) %3D 7x + 2 Yes, f does have an i...

A:

Q: find the difference quotient for: F(x) = 17x2 - 13x

A:

Q: Using two or more complete sentences, describe how you can find a vector parallel to b⇀=⟨−3,2⟩.

A:

Q: 6. yi+ yž = 1, when x = 0, y = 4 dx

A:

Q: At time t in seconds, a particle's distance s(t), in micrometers (μm), from a point is given by s(t)...

A:

Q: Use the given value of k to complete the table for the direct variation model y = kx?. Plot the poin...

A: