A stone is dropped from the upper observation deck of a tower, 750 m above the ground. (Assume g = 9.8 m/s².) (a) Find the distance (in meters) of the stone above ground at time t. s(t) = 750 – 4.9r (b) How long does it take the stone to reach the ground? (Round your answer to two decimal places.) 12.37179 (c) With what velocity does it strike the ground? (Round your answer to one decimal place.) |× 9 m/s 121.2 (d) If the stone is thrown downward with a velocity of 5 m/s, how long does it take to reach the ground? (Round yo 11.87

Q: If the marginal cost function is given by c'(x) = 3x + 4x+ 3, then a general expression for the…

A:

Q: a) ) Sketch and find the area of the surface obtained by rotating the curve y=/3x+4 for x E [3,5).…

A:

Q: Find the derivative if the following and simply to its simplest fo a) y= (4t2 – 3t + 2)-2 (x+3)* b)…

A:

Q: Express in sigma notation. (a) a1 = a2 + Az - aq + ag (b) -bo+ b; - b2 + bg - b4 + bg

A: Since, the student has mentioned to solve question number part (a) and part (b), so we are going to…

Q: i) The area of the surface obtained by the rotating the curve y=V 16-x², -1s×<1 about the x-axis is

A: As per the company's guidelines, we are supposed to solve first question for you,  kindly repost the…

Q: 5th derivative of y = log x^5 to the base 2

A:

Q: A company invests $19,000 to produce a product that will sell for $56.85. Each unit costs $9.20 to…

A:

Q: If f is a function and not necessarily a position function, then we can interpret AVa,a+h] as the…

A: This is a problem related to average and instantaneous rate of change of the function. Based on the…

Q: Use the long division method to find the result when 12x4 + 25x³ + 19x² + 9x + 10 is divided by 3æ²…

A:

Q: If a = i+ 4j + k and b =i+ 8j +k, find a unit vector with positive first coordinate orthogonal to…

A:

Q: 6. Prove that for n> 2, 2(;) + (*) =n². п

A: We have too prove the given expression.   According to our guidelines we can solve only one question…

Q: yA 4 3. 2+ O 1+ -2 -1 1 2 x -1 -2-

A: As per the company's guidlines, we are supposed to solve first three subparts for you, kindly repost…

Q: Evaluate the integral. In 2 ey dx dy

A: Explanation of the answer is as follows

Q: i) The area of the surface obtained by the rotating the curve y=V 16-x², –1s×s1 about the x-axis is…

A:

Q: The sum of two positive numbers is 40. What are the numbers if their product is to be the largest. A…

A: let the two numbers be "x" and "y "x+y=40 → (1)F(x,y) = xyF(x)= x(40-x)F(x)=40x-x2differentiate…

Q: Graph the curve and find its length. (Do this on paper. Your instructor may ask you to turn in this…

A:

Q: dy in terms of a da Use the Chain Rule to find y = (u – 2)3 and 1 27 + 1 u%3D

A:

Q: Find the gradient of the function at the given point. w = x tan(y + z), (7, 5, –3) vw(7, 5, –3) =…

A:

Q: The series E=1 is convergent. 1+(" Select one: O True False

A: ∑n=1∞ 21+34n

Q: a. y'=-20x (3– 5x')" 32. Suppose that x and y are both differentiable functions of t and are related…

A:

Q: Find the indefinite integral by the substitution method or state that it cannot be found by our…

A: Given Problem:- Find the indefinite integral by the substitution method or state that it cannot be…

Q: 1) Find the area of the region that lies inside the curve r =1-sin 0 and outside the curve r= 1.…

A:

Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx? + y² + z? (2,…

A:

Q: QUESTION 8 True or False: Only one-to-one and onto functions may have inverse functions. O True…

A: We know that; A function (f) is one-to-one &amp; an inverse function of &amp; only if there is no…

Q: Find the f( for this f (x) = l09, x Cos-lx

A:

Q: 30 25. 2 k(k – 2)(k + 2). - k=1

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

Q: The time it takes to cover the distance between two cities by car varies inversely with the speed of…

A:

Q: Find an equation of the plane tangent to the following surface at the given point. V3 cos (xyz) =…

A:

Q: Consider the following. Demand Function      Quantity Demanded p = 500 − 3x      x = 24  Find the…

A: p= 500-3x , x= 24Let Ep be price elasticity of demandEp=px×dpdxdifferentiate p w.r.t xdpdx=-3

Q: 1. Use Green's Theorem to find the counterclockwise circulation and outward flux for the given filed…

A:

Q: separate šhëët. 1. Find the equations of the tangent and normal lines to the curve y = x² + 2x + 3…

A: As per Bartleby guidelines rule I am answering only first question as other questions are not the…

Q: A particle moves in a straight line with velocity t-2 – * ft/s. Find the total displacement and…

A:

Q: First four terms of the sequence n²+3n 1+9 n are: None of them 2 10 9 28 5 19 14 37 2 10 41 28 5 19…

A:

Q: a)Find the arc length of f(x)= In(1+x³), Osx<5 Answer:

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Given the power series Σ 4" (x)" n =0 n! Find the "Interval of Convergence" for the series.

A:

Q: 3. Find the absolute maximum and the absolute minimum of f(x) = x-2 tanx on the interval [0,4].

A:

Q: 1. Use implicit differentiation to find an equation of the tangent line to the hyperbola - * = 1 at…

A:

Q: Find the Taylor series for f(x) centered at the given value of a and the interval on which the…

A:

Q: Consider the given: х3 — 4х2 x(х + 8)(х — 2) (x + 2)3 8(7x – 4) f(x) = ;f"(x) (x + 2)2 i f (x) : (x…

A: The given functions and their derivatives are: f(x)=x3-4x2(x+2)2=x2(x-4)(x+2)2,…

Q: Find the slope of the graph of the function at the glven polnt. Use the derivative feature of a…

A:

Q: Justify your answer whether the following functions are continuous or not at a certain point or…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: Given the Power Series E A, (x - *)" n = 0 The radius of convergence ( L) is given by the rec A L =…

A:

Q: Consider the following. (The graph Is called a serpentine.) 36x +36 Find the derivative of the…

A:

Q: Evaluate the integral. S7 19n (sin x + cos y) dx dy O 8TT O 16TT O 9TT O 17TT

A:

Q: 1) Find the exact length of the polar curve r = 2+2 cos 0. Show All Your Work!

A:

Q: L = - Given the power series 00 (x + 2)" n = 0 2" Find the "Radius of Convergence" for the series.…

A:

Q: Find the gradient of the function at the given point. f(x, y) = 4x + 3y2 + 6,    (1, 4) ∇f(1, 4) =

A: As we know that; The expression for the gradient vector; ∇fx,y=i∂∂x+j∂∂yfx,y=i∂fx,y∂x+j∂fx,y∂y…

Q: The functions y1 = ex and y2 = e-3x solutions for the homogeneous DE: are both y" – 9y = 0. Then,…

A: y''-9y'=0Since y1=e3x  , y2=e-3x are the solutions of homogeneous DE  Then complementary function is…

Q: Here is a graph of the function h. 3- 1- -5 -4 -3 -2 -1 -3- -4- Use the graph to find the following.…

A:

Q: What constant acceleration (in ft/s?) is required to increase the speed of a car from 30 mi/h to 58…

A: