Textbook @Videos [+] Let s(t) = 6t³ - 9t² - 360t be the equation of motion for a particle. Find a function for the velocity. v(t) Where does the velocity equal zero? [Hint: factor out the GCF.] t= and t = Find a function for the acceleration of the particle. a(t) = Question Help: Video Submit Question Jump to Answer

Q: Suppose that f(x) = log (4x² + 1). Find f'(2). (Round your answer to four decimal places. f'(2) = X…

A: Topic = Derivative

Q: A balloon leaving the ground, 18 m from the observer, rises vertically at a steady rate of 3 m/s.…

A:

Q: dy Find for y= dz sin(2x) √10-24

A:

Q: 1. Find the maximum value of the function z = 2x + 8y subject to the following constraints. 5x+6y ≤…

A: NOTE: Refresh your page if you can't see any equations. . subject to

Q: Solve the Bernoulli equation: y′ − 2xy = x3y5

A:

Q: १) = 2 = sin dxtan x

A:

Q: Find dy/dx. dy dx x=√t y = 4-t

A: To find the derivative of given function.

Q: graph below is the function f(x) -4 -3 -2 -1 4 3 2 I→2 My -1 -2- -3 -4 NO Of(2) is defined. Olim Lon…

A: Topic:- calculus and function

Q: If the parabola y=x^2+C is tangent to the line y=4x+3, find the value of C. a. 5 b. 6 c. 6

A:

Q: If f(x) = 5+ Find f'(2). 48 H + 4 2² " find f'(x).

A: Given function f(x).

Q: Find dy dz dy if y = dz = x³ + 3x + 2 x² +8 Submit Question Jump to Answer

A:

Q: Make a sign diagram for the derivative of the function. = x4 - 8x³ + 18x² = f'(x) ? 0 f(x) increase…

A: Given a function f(x).

Q: Make a sign diagram for the derivative of the function. f(x) = (x - 2)4 f'(x)? 0 increase f'(x) ? 0…

A: We need to solve derivative problem.

Q: 4 Find the slope of the tangent to the curve f(x)= √√x at the point where x = The slope of the…

A: We have to find slope of tangent of curve at point x= 1/9 Topic :- Application of derivative.

Q: Find the slope of the tangent line to the curve - 1x² + 2xy + 3y³ = - 108 at the point (3, 3).…

A:

Q: Differentiate f(x) = f'(x) = - Submit Answer ment-Responses/submit?dep x5-x+1 x³ +8 3 Viewing Saved…

A:

Q: Is this set of ordered pairs, a function or not a function? {(5, -1), (3, -5), (2, -5), (0, -2),…

A: Given the set of ordered pairs is (5, -1), (3, -5), (2, -5), (0, -2), (-1, -3).

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

A:

Q: Given Cost and Revenue functions C(q) =q³ - 10q² +58q+ 5000 and R(q) = -3q² + 2500q, what is the…

A:

Q: A trough is 8 ft long and its ends have the shape of isosceles triangles that are 2 ft across at the…

A:

Q: √x-10 lim x-100 x-100 lim x→4 2 x² - 2x-8 x² -16

A:

Q: Water is draining out of a JoJo tank so that the height of the water y (in meters) at time t (in…

A:

Q: 14. Assume you have a piece of cardboard that is 15" x 8" and you want to create a box from this…

A:

Q: With f(r) and g(r) defined below, state both a formula for (fg)(x) and the domain of (fg)(x).…

A:

Q: 5. Let f: A B be a function. Define a relation on A by a₁ ~ƒ a₂ ⇒ f(a₁) = f(a₂) for all a₁, a2 € A.…

A:

Q: Use implicit differentiation to find y² + 9x³ = 7y - 5x² dy da = Submit Question dy dz Jump to…

A:

Q: The volume of a cube is decreasing at a constant rate of 178 cubic meters per minute. At the instant…

A:

Q: Suppose a² = 8, F(x) = f(x³), G(x) = (f(x))³ and: f(a) = 2, f'(a) = 6, f'(a³) = 2.

A: Topic = Functions

Q: II. Determine whether f(x) = = 0. 5x2 + [x]] +1, -5x² + tan(x²), x 0 is differentiable at x = (Hint:…

A:

Q: 5 feet 900 feet In the suspension bridge above, the two large cables connected to the two towers…

A: We'll answer the first question since the exact one was not specified. Please submit the new one…

Q: Evaluate the integral. NOTE: Enter the exact answer. 10 S™ L x (xy + 1)² dy dx =

A:

Q: 3. Set up the integral used to find the volume of the region R bounded by y = axis; rotated about…

A: see below the answer and reasons

Q: O +∞ e Sin 2xdx

A: To evaluate the following integral.∫0+∞e-x sin2x dx

Q: There are 1000 turtles living in an island and their population is growing at a rate of k = 10% per…

A:

Q: The height of a cone is increasing at a constant rate of 6 centimeters per minute. The volume…

A:

Q: Let f(x, y, z) = xy + z³, x = r + s − 8t, y = 3rt, z = s². Use the Chain Rule to calculate the…

A: The given function fx,y,z=xy+z5, x=r+s-8t, y=3rt, z=s7 We have to find the partial derivatives ∂f∂r…

Q: Find the arc length of the curve x= y4/8 + 1/4y2 along 1<_(less than or equal to) y <_(less than or…

A:

Q: The volume of a cylinder is changing with respect to its radius. Which of the following equations is…

A:

Q: Write the following statements as an equation  Sam knows that 1 of his fertilizer tanks holds 4…

A: we need to find the number of gallons in both tanks.

Q: Show complete solution with figure. 1. At what points does the curve y=4x–x^2 slope of 4. a. (0,0)…

A:

Q: Find the derivative of the function by first expanding or simplifying the expression and using rules…

A:

Q: Take a derivative. 1. f(x)=(x²+2x)√x 2. f(x) = (x+1) 4x+7 3. f(x) = (x+1)(√x-D(²+4)

A:

Q: Find the linearization L(x) of the function at a. f(x) = x^4/5, a = 32

A: The function is given by fx = x45, a = 32 To evaluate: The linearization Lx of the function fx.…

Q: Use the linear approximation of f(x, y) = /52³-cy at the point (1, -2) to approximate the value of ƒ…

A:

Q: Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x) =…

A:

Q: Suppose that f(x) = (3x + 4)¹/5. Find f'(x). f'(x) = ||

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

Q: If a loading ramp is placed next to a truck, at a height of 6 feet, and the ramp is 23 feet long,…

A: We have to determine the ramp make the angle with ground

Q: a₁ = 3 4 r = -in 2 a₁ = ?

A:

Q: Simplify completely. Assume the variables represent positive values. √32x³y¹3

A: Let's factorize  32=2×2×2×2×2=23·22 x9=x3·x3·x3 y13=y3·y3·y3·y3·y…

Q: Find the equation of the line tangent to the graph of y = sinx at the following values of x. NOTE:…

A: