3. 2t t dt ST-t

Q: Let r(x) = f(g(h(x)), where h(1) = 5, g(5) = 4, h'(1) = 5, g'(5) = 5, and f'(4) = 8. Find r'(1). r(1...

A: Given thatrx=fghx where h1=5,g5=4,h'1=5,g'5=5,f'4=8 To find :r'1Solution:rx=fghxr'x=f'ghxg'hxh'xr'1=...

Q: 16 y = (0, 1) (x + 4)2"

A: Given: - The function is, y=16(x+4)2, at the point 0,1 To find: - The slope of the graph of the give...

Q: 1. Use the Product Rule to differentiate y = x³(2x + 1)*.

A:

Q: Find the equation of the plane in the form z = c + mx + my containing the line in the xy-plane where...

A: Plane

Q: メL:6 g6)= の-=* メ L メフ メニム 1)

A:

Q: How will you know if a function increases and decreases and how will you locate the maximum and mini...

A: Let y = f(x) be any function given   

Q: Create a question covering the following topics; 1. Inequality( quadratic) 2. Equation ( cubic usi...

A: Inequality is a mathematical expression that compares the algebraic terms by using less than or grea...

Q: If g = 2430°, simplify the expression sin(sin g). If undefined, enter Ø. Provide your answer below:

A:

Q: Determine the general solution for each given higher order differential equation or particular solut...

A:

Q: Find (d^(2)y)/dx^2 if y=sin(x)cos(x)

A:

Q: Find the average of the function h (x) = 4x² – x + 5 on the interval [-2,3]. %3D Average=

A: h(x)=4x2-x+5 on the interval -2, 3

Q: Find the derivative of the function. g(x) = 3(4 – 7x)* g'(x)=

A: We have to find g'(x).

Q: Write a chain rule formula for the following derivative. for u = f(p, q); p = g(x, y, z), q = h(x, y...

A: Given problem:-

Q: 1. Graph the line using parametric equations from t = 2 tot = 6. x = 10 – 2t, y = 3 – ÷t

A:

Q: 4. Find the derivative. x? + 6x – 5 (a) 5х -1 (b) ƒ(x) = (3xr² – 5x - 7)' Us e chain rule (c) y =(x-...

A: Topic:- derivatives

Q: The indicated function y, (x) is a solution of the associated homogeneous equation. Use the method o...

A:

Q: The determinant of the matrix 2 -2 A 3D -2 -4 -3 -5 -6 is and its inverse is b12 b13 A- b21 b22 b23 ...

A:

Q: A manufacturer produces bolts of a fabric with a fixed width. The quantity q of this fabric (measure...

A:

Q: Question 5 In 1999, the population of Richmond-Petersburg, Virginia, metropolitan area, was 961,400 ...

A:

Q: a). End behavior of f(x). b). Determine the r-intercept. c). Determine the y-intercept. d). Determin...

A: The end behaviour of a polynomial function f(x) is the behaviour of the graph of f(x) as x approache...

Q: 2x2 – 10 Find horizontal asymptote of y = 1522 + 7x + 15 Note: Give the exact answer but not the dec...

A:

Q: Find fxxx and fryx for f(x, y) = x*y2 – x³y.

A:

Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT. 1...

A:

Q: Solve: (3x – 2xy+ 3y)dx = 4rydy (y +3x)(y – x)3 = Ca³ %3D O (y + 3x) (y – x) = Ca³ (y – 3x)(y + x)3 ...

A:

Q: 1. Find the root of f(x) = cos x + 2 sin x +x? by using Secant method. Let the initial value xo = 0 ...

A:

Q: Solve the following equation to determine if f (x) is continuous given the function: f (x) = 6x+7  ...

A:

Q: 4. Evaluatelimx-1x-1x-1. Show your complete solution.

A: Here we can apply L'Hopital for 0/0 form. 

Q: Find two numbers whose sum is -9 and whose difference is 1. Your answer is: The largest of the two n...

A:

Q: Use the indicated substitution to evaluate the integral. -3 cos x sin (sin x) dx , u= sin x 3 sin (s...

A:

Q: 2. х?уз- Зху %3 4х + у+1 at (0, - 1)

A:

Q: Find all points (x.y), where f(x.y) has a possible relative maximum or minimum. Then use the second-...

A:

Q: do The marginal cost of printing a poster when x posters have been printed is 1. dollars. Find c(196...

A:

Q: The population of a city is 40,000. The city grows continuously by 3.6% per year. Co rs If this tren...

A: We have to find out number of people after 12 years

Q: Vrite a chain rule formula for the following derivative. for z = f(r, s); r = g(t), s = h(t) O dz dr...

A: We have to find out derivative

Q: What is the amplitude and period of the function shown below? 7. 6- 5. 4- 3- 2- 1, 4 6 -1- -2- -3 -4...

A: The amplitude of a function is the amount by which the graph of the function travels above and below...

Q: x +1 dx (25 – x²) } X

A:

Q: Find all points (x.y) where f(x.y) has a possible relative maximum or minimum. f(x.y) =x - 5xy + 6y ...

A:

Q: Find dy. y=2 In (2+x') dy = D

A: y=2ln(2+x3)  

Q: nd the derivative of the function. (6 – x)5/4' x4/5 y = In

A: We will find the derivative. 

Q: Let us try to find where a function is increasing or decreasing given the following. 1. y = 2x –...

A: A function of x is given.We need to find the function is increasing or decreasing in the given inter...

Q: a. Calculate the value of the slope of Y = - 2 X4 + x -3- 2X -2 + 5 at X = -2

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

Q: Consider the vector field F = (7x + 3y, 3x + 2y) Is this vector field Conservative? ( Conservative I...

A:

Q: By direct differentiation, find f(x] where f(x)= lalact!)

A:

Q: Find f ogoh if f(x) = g(x) = x", h(x) = x + 3. 10 x+1'

A: First we find out g o h then f o h. Follow 2nd step.

Q: 3. f(x) = 6xi – 3x ; x € [- 2,1 first derivative critical numbers stationary points End Points Absol...

A: Here, the given function is: f(x)=6x53-3x23; x∈-2,14

Q: 8. Without a calculator, match the functions y = 2, y = e, y = 3, y = In x, y = log x with the graph...

A: Without using a calculator, to match the functions, y=2x, y=e-x, y=3x, y=ln x, y=log x with the grap...

Q: You have a wire of length 2 m, which you can bend either into a square or a circle. You also have th...

A:

Q: 4. Which of the following is logically equivalent to (p V¬q)^(¬p V-¬q) ^(¬q Vr) а.)p b.)q с.) —р d.)...

A:

Q: Write a chain rule formula for the following derivative. for w = f(p, q); p = g(x, y), q = h(x, y) O...

A: We have to find the derivative