Find the second derivative of f(x) = 2 sin(4x). Enclose arguments of functions in parentheses. For example, sin (2x). ƒ" (x) = 团

Q: Find parametric equations for the line. (Use the parameter t.) the line through (-8, 2, 7) and…

A:

Q: Let the function f be defined as follows. x² x - 20 x = 5, 10, x = 5 Which of the following…

A:

Q: For the given function, find (a) the equation of the secant line through the points where x has the…

A: y=f(x)=x2+xat x=1 , x=4 (a)  equation of secant line is y=mx+c,  where m is slope

Q: K Find the average rate of change for the function over the given interval. y=ex between x= -1 and…

A:

Q: 60° 14 The hypotenuse of a right triangle with base angle 60° and base 14 is

A: GivenIn the right triangleBase=14Base angle is 60°   We are required To find the hypotenuse

Q: . (If the limit is infinite, enter 'co' or '-co', as appropriate. If the limit does not otherwise √x…

A: Topic:- application of calculus

Q: Decide whether the given functions are inverses. x f(x) x g(x) 5 5 5 5 -6 4 -4 -9 6-2 4-6 -9-4 -2 6…

A: To determine whether the functions f and g are inverses to each other. x fx 5 5 -6 4 -4 -9…

Q: Does this value overestimate or underestimate the instantaneous velocity of the rock at time t = 1…

A: The height of the rock is given as: ht=-5t2+20t+25 The instantaneous velocity of the rock at time…

Q: Given that f(x) = x² - 14x and g(x) = x + 10, find (a) f(x) + g(x)= (b) f(x) = g(x)= (c) f(x)g(x)=…

A: Given that fx=x2-14x and gx=x+10, to find a fx+gxb fx-gxc fxgxd fxgx

Q: Given the following approximation (1−2x)1/3 ≈ 1 − 2/3 x − 4/9 x2 , find the approximate value of…

A:

Q: A circle has the graph shown with the indicated center. 6+ 5 4 32 2 H -6-5-4-3-21 -2 -3 15 -6 + 2 4…

A:

Q: Consider the function f(x, y) = 2x³ + y on the region {(x, y) | x² + y² ≤ 16}. Find the absolute…

A:

Q: A ball of radius 12 with a cylindrical hole of radius 7 drilled through its center has volume:…

A: given ball radius is 12 cylindrical hole radius is 7 ball is the shape of sphere volume of sphere…

Q: A graphing calculator is recommended. Use technology to sketch the graph of the function and find…

A: The given function fx=61+e1x. We have to sketch the graph of the function and find the limits…

Q: ector equation for this line is r(t) = (5, -4, 3) + t1, 4, - ½)

A:

Q: Find an antiderivative F(x) with F' (x) = f (x) = 5 +28x³ + 14x6 and F (1) = 0. Remember to include…

A:

Q: Let f(x) = X x - a Find the value of a so that f'(1) = 1 - 4

A: This question is based on Quotient rule of differentiation.

Q: f(x, y) = e(x8 relative maximum relative minimum +y8)/8

A:

Q: The distance of a particle from some fixed point is given by the following function. s(t)=t² +5t-4…

A:

Q: 2x³6 Solve differential equation. You may leave your answer in implicit form. dy dy + +y =…

A: If M and N are functions of x and y and ∂M∂y=∂N∂xsolution is given by∫keep y constantMdx + ∫term…

Q: Suppose the speed of a car approaching a stop sign is given by v(t) = (t-20)², for 0 st≤ 20, where t…

A: Please see the below picture for detailed solution.

Q: Find parametric equations for the line. (Use the parameter t.) the line through the points (-5, 2,…

A: Topic - Parametric equation of line We are given A line passes through the points (-5,2,5) and…

Q: For the function f(x,y,z)= In (4x + 7y + 10z), find fx. fy, and f₂.

A: Detailed solutions are given below.

Q: Differentiate. F(x) = (7x+1)²2 F'(x) =

A: Given: F(x)=(7x+1)2 Differentiate with respect to x ddxF(x)=ddx7x+12

Q: The function h is given by h(x) = x5 + 3x - 2 and h(1) = 2. If h-1 is the inverse of h, what is the…

A:

Q: Use integration by partial fraction to solve 3+4 (z + 3)² dr.

A:

Q: Find the derivative of the function. g(x) = - J√x 8 √t sin(t) dt

A:

Q: f(x) = 9 x ,X #0

A:

Q: Find the y-intercepts of the graph of the equation x² +9x + y² + 2y = 8

A:

Q: Find an equation of the plane. The plane through the point  (6, −7, −1)  and parallel to the plane…

A:

Q: what is a point on the x axis that is eqidistant from the points (-3,4) , (5,-6).

A:

Q: Consider the following trajectory of a moving object. Find the tangential and normal components of…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the power series representation for the function and determine the radius of convergence R.…

A:

Q: If f is a function that is continuous on the open interval (1, 4), then f is continuous at x = 3.…

A: Given: If f is a function that is continuous on the open interval (1,4), then f is continuous at…

Q: Please show examples and final answers

A:

Q: In each of Problems 24 through 27, construct a first-order linear differential equation whose…

A:

Q: The magnitude R (on the Richter scale) of an earthquake of Intensity / is defined as (7) ► where Io…

A:

Q: π/4 IF ST/A tan (x) sec(x) dx = I, express the value of 。 π/4 tan (x) sec(x) dx in terms of I.

A: Given:- ∫0π4tan4xsecxdx=I

Q: How many steps does a limit proof have? What are they?

A: We have to write about the steps involved in limit proof.

Q: Identify the surface. hyperbolic paraboloid O elliptic cone O hyperboloid of two sheets O ellipsoid…

A: Question 1) Identify the surface Given surface is eliptic paraboloid

Q: 4. y = cos and y = 0.5, for 0 ≤0 ≤ T f(0) = cos 0 -2 0.5 0 -0.5- -1+ + 1 g(0) = 0.5 + 2 3 40

A: Given: Here, we need to find the area between the curves f(θ)=cos θ  and  g(θ)=0.5. Now,…

Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

A:

Q: nd the point on the curve r(t) = (5 sin t)i + (5 cost)j – 12tk at a distance 13x units along the…

A:

Q: Jo 2x t² sin 2t dt

A: Given query is to find indicated integral.

Q: 3.2 Problems The linear systems in Problems 1-10 are in echelon form. Solve each by back…

A: Back substitution means putting the vale one of fixed variable into other.

Q: The population of deer in a forest can be modeled by 400x + 510 2x + 3 P(x) = where x is the number…

A:

Q: e20 sin 30 de

A:

Q: The area of the sector of a circle with radius 10 meters formed by a central angle of 175° is square…

A:

Q: A homeowner wants to enclose three adjacent rectangular pens of equal size, as in the following…

A: Let suppose  Length of rectangular pen = x feet Width = y feet Now perimeter x+x+y+y+y+y = 360 feet…

Q: Find y' by (a) applying the Product Rule and (b) multiplying the factors to produce a sum of simpler…

A: