Question

ds/dt if s=(t^{9}+6)(t^{8}-6)

Tagged in

Math

Calculus

Find answers to questions asked by students like you.

Q: A 5-m ladder leans against a wall. Assume the bottom slides away from the wall at a rate of 0.6 m/s....

A: Click to see the answer

Q: suppose that the revenue function for a certain product is given by R(x)=15(2x=1)^-1+30x-15 where x ...

A: Given : The Revenue function R (x) = 15 (2x+1)-1 + 30 x -15 , where x is the number of units produc...

Q: Solve the differential equation: dydx= 2y2/sqrt(x) y(1)=154

A: Click to see the answer

Q: The supermarket's cola products cost $16.20 per case of 24 bottles. They sell 3 for $13.00. What i...

A: Given, The supermarket's cola products cost $16.20 per case of 24 bottles. Therefore, the cost of pe...

Q: Find the relative extrema, if any, of the function. Use the Second Derivative Test if applicable. (I...

A: Given function ft=2t+1t

Q: Please very soon full explanation

A: Here, the objective is to find the following: a) 3, 3, 3, 3, .... as its second difference. b)1, 2, ...

Q: You are given the graph of a function f. 1 1 Determine the intervals where the graph of f is concave...

A: A function is concave up (or convex) if it bends upwards. A function is concave down (or just concav...

Q: Consider the following functions. f(x)= 1/3x^2-3/4x g(x)=1/2x+5/6 h(x)=1/4x^2-5/8x+2/5 Part a. Amari...

A: We have f(x)=13x2−34xg(x)=12x+56h(x)=14x2−58x+25

Q: Concept 2: Parametric Equations and Lines in Space (continued) (c) Eliminate the parameter t using a...

A: we have been given the parametric coordinates r(t)=(3sin t, 5cos t) first, we have to find the equa...

Q: The following function is one-to-one. Graph the inverse function.

A: For finding an inverse function g(x) of f(x) where g(x) = f-1(x) Do the following y of g(x) = x of f...

Q: Give the center and radius of the circle described by the equation (x + 1)2 + (y - 4)2 = 25 and grap...

A: According to the question, we have to find the center and radius of the circle x+12+y-42=25 and grap...

Q: Given L (x) dx = 6 and f(x) dx = -5, evaluate the following. 9. (a) f(x) dx (b) f(x) dx (c) f(x) dx ...

A: Click to see the answer

Q: (a)(1,−2) (b)(−1/3,−2/3) (c)(−2,1) (d)(0,0)

A: Consider the curve x=1-3t2,y=t-3t2If the tangent at point (1-3t2,t-3t2) inclined at an angle θto the...

Q: In(t) Let y = %3D (a) ( Find y' using the quotient rule. (b) Rewrite y as a product, then find y' us...

A: Given that y=lntt3. (a) Compute the derivative using quotient rule. y'=lntt3'=t3lnt'-lntt3't32=t3t-3...

Q: Find dy/dx for each equation below.

A: ce-x+ey=x+yDifferentiate on both side with respect to x:-e-x+ey.dydx=1+1dydx-e-x+ey.dydx=1+dydxey.dy...

Q: suppose that y is an implicit function f(x) defined by the equation x^3 + y^3 = 8xy − 7. find the eq...

A: suppose that y is an implicit function f(x) defined by the equationx3+y3=8xy−7. find the equation of...

Q: If the total revenue function for a computer is R(x) = 2600x – 11x2 – x3, find the level of sales, x...

A: Click to see the answer

Q: Is the following equation exact? (2x sin(xy) + x2 y cos (xy))dx + (x3 cos(xy))dy = 0 Suggested solu...

A: Click to see the answer

Q: $20,000 invested for 14 years compounded at 8% semiannually results in how many compounding periods ...

A: Given principle amount(p) = $20000 Interest rate(r) = 8% = 0.08 Compounded semiannully(n) = 2 Time i...

Q: Please help me find the correct answer.

A: Given fx=sin3x, a=π4 To find linearization at x=a

Q: Calculus Question

A: We’ll answer the first question since we answer only one question at a time. Please submit a new que...

Q: Carmen climbed to the top of a cliff 35ft above sea level she then dove into the ocean traveling a t...

A: Click to see the answer

Q: Find the implicit differentiation

A: Using differentiation formula:ddxxn=n.xn-1

Q: A spring in equilibrium has length 1 meter. If ittakes 40 joules (i.e., kg-msec2 ) of work to stretc...

A: Click to see the answer

Q: The logistic growth function models the percentage, P(x), of Americans who are x years old with some...

A: Given: Px=901+271e-0.122x

Q: Show the solution on how to compute for the point of inflection and concavity of y= sin2(x)-2cos(x) ...

A: Consider the following equation: y=sin2x-2cosx Differentiate y with respect to x: y'=2sinxcosx+2sinx...

Q: A home gardener estimates that 19 apple trees will have an average yield of 147 apples per tree. But...

A: Total number of apple trees=x+19GIVEN:Additional tree planted the yield will decrease by three app...

Q: Please draw the picture as well and solve 3A, B, and C

A: given that a box has a sides of length of x=3m ,y=7m and z=1m. and also the rate of change of this l...

Q: A parabola has the equation -5x + 9 = 5y – 3y – 136. Find the equation of the line that is tangent t...

A: Click to see the answer

Q: How many meters did the leaf travel per minute

A: Given leaf traveled 140 meters in 4 minutes To find meters traveled per minute

Q: Set up the triple integrals for finding the mass and the center of mass of the solid of density boun...

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

Q: Use the Green’s Theorem area formula given above to find the areasof the regions enclosed by the cur...

A: The give curve is circle. The parametric form of circle is, r(t) = (a cost)i + (a sint)j. Here, x = ...

Q: f(x) = -x - 5x + 4x - 7. Find the open intervals on which f is concave up (down). Then determine the...

A: Differentiate the function f(x)=-x4-5x3+4x-7 with respect to x, to find f'(x) and f''(x). f(x)=-x4-5...

Q: let hG) = f(x) %3D where f(-3) = 7, f'(-3)= - 9, g(-3) = -2 and gʻ(-3) = 1. What is b'(-3)? %3D %3D

A: Click to see the answer

Q: Suppose f(x,y)=x2+y2−2x−2y+1f(x,y)=x2+y2−2x−2y+1 (A) How many critical points does ff have in R2R2? ...

A: Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not mentione...

Q: f(x) = √x + 2 a. Find an equation for f -1(x).b. Graph f and f -1 in the same rectangular coordinate...

A: (a) The function f(x)=x+2. To find the inverse of the function, first replace x with y and obtain t...

Q: x/42 Evaluate x tan (14x)dx. /42 x tan (14x)dx = Type an exact answer, using t and radicals as neede...

A: Click to see the answer

Q: Suppose that both the radius r and height h of a circular cone are increasing at a rate of 2 cm/s. H...

A: Click to see the answer

Q: Find the solution of the differential equation that satisfies the given inital condition. dy/dx=3xe^...

A: Click to see the answer

Q: Define if t T sin t h(t) = + 1 Show that h(t) is continuous for all t. Show that h(t) is NOT differ...

A: ht=sint if t≤π2t2-πt+π24+1 if π2<t≤πt24+1 if t>...

Q: The function f(x) = 30x + 0.08 is a reasonable model for the monthly cost, f, in dollars, for a text...

A: Given function is fx=30x+0.08. Here the number of monthly text message is x. Consider the number of ...