Stede

Q: An investment club has set a goal of earning 15% on the money it invests in stocks. The members are ...

A: Consider the given data.

Q: 31

A: The given function is tan (x + y) = x and the point is (0, 0).

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the s...

A: From the given information the given curves from which the volume is to be generated are:

Q: If   (1/x)+(1/y)=3 and y(4) = 4/11, find y′(4) with implicit differentiation. y′(4) = ?

A:

Q: An isosceles triangle has base 7 and height 12. Find the maximum possible area of a rectangle that c...

A: Refer to the question. Sketch the isosceles triangle having base 7 and height 12 and a rectangle ins...

Q: A lighthouse stands 425 m off a straight shore and the focused beam of its light revolves three time...

A: Let θ be the angle between the line from lighthouse to the shore and the line from lighthouse to the...

Q: 5 Let f(x) x5 and g(x) x. Simplify or evaluate the function g(f(u)

A: Given equation are,

Q: Use a graphing calculator to estimate the x-coordinates of the inflection points of the function, ro...

A: Given,

Q: Find the differential dy. y = sqrt (3+x^2) dy=   Evaluate dy for the given values of x and dx. x =...

A:

Q: at the point (3pi/4, -1/2) on y= sin(x)cos(x).  Find the slope of the tangent line.

A: Divide and multiply the given function y= sinxcosx by 2.

Q: Evaluate dy/dx at (-3,1) for x3+(7+xy)5/2=82/3+y2

A: Given:

Q: Video Example Differentiate y In(x3 + 2). EXAMPLE 1 To use the Chain Rule, we let u = x3 + 2. Then y...

A: Differentiate the given function using chain rule as follows.

Q: Let fix) x-9, g(x)= x2, and F(x) x-6 3 Simplify the following expression g(F(f(x)))

A: In order to compute the composition of three functions, apply one by one function.

Q: An inverted conical water tank with a height o 6 ft and a radius of 3 ft is drained through a hole i...

A: Given, height of conical tank 6 ft and radius 3 ft.

Q: 2.6 Can you show me the steps to solve this problem? Directions: Find dy/dx by implicit differentiat...

A: Differentiate both sides with respect to x,

Q: A man on a dock is pulling in a boat by means of a rope attached to the bow of the boat at a point t...

A: To determine, how fast is the boat approaching the duck when the point of attachment is 18 ft from t...

Q: How do you solve this?

A: Given function is y=h(t)

Q: what is slope intercept form?

A: Slope-intercept form is the linear equation that represents a straight line and it is in the form of...

Q: Hi! I need an explanation for number 5 in the photo attached, please

A: To find an equation of the tangent line to y = 4x – 3x2 at the point (2, -4).

Q: Please explain on number 11 how to go from step 5 to step 6 (labeled). I understand that you are fac...

A: The given function is ,

Q: In Exercises 13-17 solve the initial value problem бу" + у' — у %3D 0, у(0) — —1, у'(0) — 3 15. -

A: Consider the given differential equation.

Q: Question 16 of 18 х+7 Let f(x) Use a computer algebra system to compute f((x) for 1 < k < 4. Then, d...

A: Given function:

Q: yg(x) yf(x) 8 7 7 6 6P 5- 51 4 4- 3 2 7 8 6 4 5 3 1 2 -2 -1 0 7 8 2 3 -2 1 0 1 (a) Find h'(4) where ...

A: We find h'(x) using chain rule Then plug x=4. 

Q: Differentiate

A: Find the derivative for the given f(Ѳ)

Q: Calculate net signed areas under a line using formulas for area of a triangle Question What is the n...

A: According to the given information, it is needed to calculate the area between the curves:

Q: Find (g o fx) for the pair of functions and give the domain. 11 f(x)= g(x) 7-x

A: Given functions are

Q: see attachment

A: Let Howard’s family sprinkler used for x hours and Patterson family’s sprinkler used for y hours.It ...

Q: 5) Solve: 2 1n(4 - 3x) + 1 = 7

A:

Q: Find fg, f- g, fg, and f/g and their domains. f(x) x, g(x) = 9x Find (fg)(x) Find the domain of (f +...

A: Here the given function is f(x) = x and g(x) = 9x so, the function f + g (x) is x + 9x = 10 x domain...

Q: Two chemical factories are discharging toxic waste into a large lake, and the pollution level at a p...

A: The given function is,

Q: see attachment

A: From the first equation: -3x + y = -12Hence, y = 3x - 12Let's substitute this in the second equation...

Q: 36. An elastic band is hung on a hook and a mass is hung on the lower end of the band. When the mass...

A: (a)The given information:

Q: see attachment

A: Ivan ran 3 miles each day for x days.So he total ran = 3 times x= 3x miles.

Q: see attachment

A: Initial point (x1, y1) = (0, 0)Terminal point (x2, y2) = (2, 3)

Q: Find all relative extrema of the function. (If an answer does not exist, enter DNE.) h(x) = 9(x − 7...

A: Given: -

Q: I don't under how to find the solutions for number 9. Can you explain how to get the solutions for p...

A: As per norms , the first three questions are answered. The problems concern the motion of  the body ...

Q: (c) Prove the value of lim Sin 3a o Cos 4Do NOT use L'Hospital's Rule.

A: The given limit is,

Q: Calculus Question

A: Given values are,

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given point...

A: Given equation of curve is

Q: The radius of a conical tank is 4.4 meters and the height of the tank is 9.8 meters. Water is flowin...

A: Given that the radius of a conical tank is 4.4 meters and height of the tank is 9.8 meters. The rate...

Q: Find the given derivative by finding the first few derivatives and observing the pattern that occurs...

A: Given information:

Q: see attached

A: We first have to find equivalent position as -4pi/3 We add 2pi with it to get it.So we have to plot ...

Q: 5 and if the terminal point determined byt is in Quadrant III, find tan t cot t + csc t. 13 If cos t

A: the value of tan  ,cot and cosec functions in third quadrant positive, positive and negative respect...

Q: 2 Let fixy.3) = R +/y +/1 n (4-x-y-32) a. Find fi, I, 1) b of f y-j'> Fird ard des cr be the demarn ...

A: a.

Q: A population has size 4000 at time t=0, with t in years.   (a) If the population decreases by 200 pe...

A: Consider the given question,A population has size 4000 at time t = 0, where t in years.That means in...

Q: I need help with solving f'(4). Please explain. Thank you

A: If  y = f(x) is a function, then dy/dx given the slope of tangent to the curve at any required point...

Q: i can't figure out how to get the y-intercept

A: Given:

Q: The lateral surface area of a cone of radius r and height h is A=(pi)(r)[r^2+h^2]^(1/2) Find an expr...

A: Refer to the question, differentiate the provided lateral surface area with respect h as,

Q: The average price paid by the synfuel industry for a short ton of coal between 2002 and 2005 can be ...

A: Given variable values:Average price paid by synthetic industry

Q: P(13,5) for P(n,r)= n!/(n-r)!

A: find out P(13,5) using formula