1. Find the equation of the tangent line to the given curves at point of tangency, if given. 3. y=√7x-6 that is perpendicular to the line 12x+7y+2=0.

Q: 4. y=x+c₁e* + C2e-* y" -y + x = 0

A: Since you have posted multiple question, I can do first question as per our company guidelines.…

Q: The region bounded by the curves y²= 8x and 2y = x ³ is revolved about the line y=-1. Find the…

A:

Q: Find the intersection of the line / and the plane T. 1:ř=(4,-1,4)+t(5,-2,3) T: 2x+5y+z+2=0

A: Given line, r=(4i-j+4k)+t(5i-2j+3k)               (1)And plane ,2x+5y+z+2=0…

Q: How do you find the equation of the line tangent to f(x)=2x2+5x-3 at the point (2, 15)

A:

Q: Find the partial derivatives indicated Assume the variables are restricted to a domain on which the…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: ite the function, y = x², after the following transformations: Reflect the function about the…

A: Given query is to find the function after performing transformation.

Q: Write an equation for line L in point-slope form and slope-intercept form. L is perpendicular to y =…

A: Given query is to find equation of the line L.

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: y = ((x³- 2)/(x³ + 1))³ dy/dx =3( x³-2/ x³ +1 )² × [ ( x³ + 1)3x² - (x³ - 2) .3x²/ (x³ +1)² ] dy/dx…

Q: Question 6 Given f(x)=√, g(x)=x²-1, x > 0. Find the value of f (g (3)). O 2√8 O (E) O 2√2 O√3

A:

Q: Describe a function g(x) in terms of f(x) if the graph of g(x) is obtained by performing the…

A:

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A:

Q: At what points is the function y= X+7 2 x² - - 8x+7 continuous? Describe the set of x-values where…

A:

Q: Find an equation of the parabola with vertex (-2,-2) and directrix X=1, U 09 0=0 9

A:

Q: Find the derivative of the function. h(t) = (t²-1) (t³ + 1)6 h'(t) =

A:

Q: If z = (x + y)e", y = 5 - t², find dz/dt using the chain rule. Assume the variables are restricted…

A:

Q: II. Find the equation of the normal line to the curves at the point of tangency, if given. 1. y…

A: Recall: The slope of tangent line to the curve y is, mT=y'x0,y0 The equation of the normal line is,…

Q: Write and simplify, but do not evaluate, an integral with respect to x that gives the length of the…

A:

Q: Determine the rate of change of the function g(x, y) = y² tan(x − 2y + 4) 2) in the direction of the…

A:

Q: Let f(x) = {3x + 2, x < c {2x -3, c < x < 8 Find the value of c so that f is continuous at that…

A:

Q: Determine the equation of the line tangent to the curve y = 4( 4(x + 3)² at the point (5,64). y =

A: given y=x2x2+41

Q: If the demand function for math self-help videos is given by 65 0.8x, and the total cost function to…

A:

Q: Find the point of diminishing returns (xy) for the function R(X), where R(xX) represents revenue (in…

A:

Q: G(r)=3r^3/2 + r^5/2 /r  *differentiate the function How do I approach problems like this? Like…

A:

Q: f(x) = b-2x 6 x-b if x < -1 if x ≥ -1. Find the two values of b for which f is a continuous function…

A:

Q: Given the following functions, find and simplify (f-g)(7.5). Provide your answer below: 7.5)…

A:

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: Solution

Q: 2x + 3y - 1) dx + (4x +6y + 2) dy = 0 Give the: a. homogeneity b. degree c. reducible…

A:

Q: 4х + Зу For the function h(x,y) = · 3ху -2' əh əh find and дх ду

A: Given query is to find partial derivatives.

Q: Find the formula for the graph of the function f(x) given in the graph above. f(x) = 5sin(pix)+2 AN…

A:

Q: Two functions f and g are given. Show that the growth rate of the linear function is constant and…

A: Given ; f(t)=40+8.5t g(t)=40et/8.

Q: 2. Find the Inverse Laplace Transform of the following: L-1 {2+35+13) a.

A:

Q: Exponential decay. Subsonic flight. The efficiency of the engines of subsonic airplanes depends on…

A: This is a problem related to exponential function. Please follow the procedure given below.

Q: 11. Given vectors u = [3, -2,-6] and, v = [4,1, -3], find the following: a) a vector on the yz…

A:

Q: 8. What can be said about non-zero vectors , and w if (uxv). w = 0? #

A:

Q: Given the demand equation p + = 16, where p represents the price in dollars and x the number of…

A:

Q: Find(x(ax+b)), where a and b are constants (a) x(ax+b) ax(1 + ln x) (b) x(ax+b) (x + ax ln x + b)…

A: To find:ddxxax+b

Q: The daily cost (in dollars) of producing LG ultra high definition televisions is given by 5x340x² +…

A:

Q: Given: f(x) = x² + 5x + 4 and g(x) = x + 1. Solve for f(2) g(1) 3 07 18 O(E)

A:

Q: What is the derivative of f(x)= xe ?

A: To find the derivative.

Q: Q1. Find Domain and Range of у sin(x)

A:

Q: Question 3 Let P(t) be a deer population (in thousands) of an ecological region t years after 2000.…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: The volume of a cone is given by V = 1 * Pi * r^2 * h/3, where r is the radius of the base and h is…

A:

Q: Given the functions below, find the domain of (fog) (z). 1(z)- 27-29(x) - √5x+30 Select the correct…

A:

Q: Find the third derivative of f(x)=^3sqrt(9x+1)

A:

Q: FInd d/dx (1-xe^2/x+e^2 Derivative: ___

A:

Q: DERIVATIVE AS VELOCITY AND ACCELERATION Solve for the unknown/s 3. A particle moves horizontally…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: fim 1 t->-∞ 1 + cot = "= 8

A:

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.

A: Given, y=x2-1x

Q: 3) Express each of the following using absolute value notation a)-7≤x≤7 b) - 4) Evaluate -12-√11-15…

A:

Q: Directions: Consider the following function f(x). f(x) = 4x² - 3 Part 1 - Difference Quotient If h =…

A: