If a rock is dropped from a height of 196 ft, its poistion t seconds after it is dropped until it hits the ground is given by the function s(t) = - 16t + 196. Round values below to 3 decimal places. How long does it take the rock to hit the ground? seconds Find the average velocity of the rock from when it is released until when it hits the ground. feet per second What time after the rock is thrown will its instantaneous velocity be equal to its average velcity? (Apply the Mean Value Theorem) seconds after it is thrown Question Help: Message instructor

Q: Use implicit differentiation to find an equation of the tangent line to the ellipse defined by 2x^2−...

A: topic-  tangent lines

Q: Evaluate the iterated integral. 2 2x 10xyz dz dy dx Jo Jx

A:

Q: F ind @ Dlim Ix16/ lim 1-cos 3x 9. 4-X lim (1-secx) lim CosO 9= (9 -) 2.

A: Note :- there is an error in part (a) in this part value of limit is wrong. So i am solving remainin...

Q: 00 6. nニ)

A:

Q: Examples Assume for a three variable function f(x,y,z) that the input combination xy=1 never occurs,...

A:

Q: The marginal cost of producing the xth box of DVDS is 11 + and the fixed cost is $100,000. Find the ...

A:

Q: What is the Maclaurin series expansion of f(x) = ln(3-2x)? Find its interval of convergence. Approxi...

A: The Maclaurin series expansion of ln (1-x) is: f(x)=-x-x22-x33-x44-...          ...(1) And is conver...

Q: Rewrite the rational expression using the method of partial fractions. 4(v)(y+ 2)(y – 3) 4y2 - 2y – ...

A:

Q: x-8.901 V2.25+X² 2 Find other forms of the equation that are in the form of an equation: X= g (x)

A: we have to change the given equation in the form x=g(x) .

Q: Find the volume of the resulting solid if the region under the curve 6 y = 2 x + 3x + 2 from x = 0 t...

A: To the  find volume.

Q: a. Find the absolute extrema of flx) = x2 – 3x + 3 on the interval

A:

Q: Find the vertex, focus, and directrix for the parabola (x + 1)² = 8(y + 2) Vertex: Focus: Eguation o...

A: Topic = Parabola Vertex  (-1,-2) Focus ( -1,0) Equation of the Directrix , y= -4

Q: dy Q3) A) find dx 1+x. 1. у %3 coth У 3 = coth=1(-) 1-x 2. y = cot-12+ tan¬1 -1x %3D

A:

Q: The weekly cost C, in dollars, for a manufacturer to produce q automobile tires is given by C = 2300...

A: Answer: The solution is as given below:

Q: Sketch the region enclosed by the curves/lines x=y, y=1/x, y=3 and find its area.

A: Given; x=y, y=1x, y=3   First, we have to find the point of intersection between the curve y=1x and ...

Q: QSolve using trigonometric substitution: dx 2.

A: NOTE: As per our guidelines, I have solved the first problem in the picture. If you want the answers...

Q: Consider the function f(z) = 2 sin on the interval [0, 19]. %3D 2 4 6 8 10 12 14 16 18 Find the aver...

A:

Q: 0.3t ug -) of a drug t hours after being injected is given by C(t) : ml The concentration (in Find t...

A: The concentration of drug,Ct=0.3 tt2+38

Q: Use sigma notation to write the Maclaurin series for the function. 7sin x 7( - 1)2* Σ =0 (24)! Σ 2+1...

A: NOTE: Refresh your page if you can't see any equations. . as we know, the power series of the sine f...

Q: dx 3— 2л — т2

A:

Q: B) prove du d 1. sec u = secu tan u %3D dx dx

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

Q: Find the critical numbers of the function f(x) = 2x3 -15x2 + 36x - 24. O a -2 and 3 O b. 2 and 3 O c...

A: As per guidelines we are bound to solve first question only... Thank you

Q: – 4x + 30 The partial fraction decomposition of can be written in the form of 8x2 + 34x + 21 f(x) g(...

A:

Q: (a) Find the differential dy. y = eX/5 dy = 4 (b) Evaluate dy for the given values of x and dx. x = ...

A:

Q: (x – 6)? (y – 4)? = 1 Given the ellipse 4 25 Find the center point: (6,4) List the four vertices:

A:

Q: If A is a positive definite matrix and B is positive semi-definite, show that trace (AB) 2 0 with eq...

A: A is positive definite means A has inverse

Q: x = a, y = 5x - 2.

A:

Q: Suppose that A, B, and C are vertices of a triangle and that a, b, and c are, respectively, the midp...

A: Given problem:- Suppose that A, B, and C are vertices of a triangle and that a, b, and c are, respec...

Q: d'y Find for dr? y = 5x? cos(x) + 13 sin(x) d?y dz? ||

A:

Q: Solve the following equation for 0 on the interval [0, 27). -V3 tan (0) – 6 = -3 Enter an exact answ...

A:

Q: Identify the open intervals on which the function is increasing or decreasing. (Enter your answers u...

A: topic - increasing and decreasing intervals of function

Q: Is the series convergent or divergent? Justify the answer by solving it and explain why it is conver...

A:

Q: Let h(x) = f(x)· g(x), and k(x) = f(x)/g(x). Use the figures below to find the exact values of the i...

A: Quotient rule: Product rule:

Q: A roasted turkey is taken from an oven when its temperature has reached 183° Fahrenheit and is place...

A:

Q: Consider the function h : N → N given by h(n) = n + (-1)"+'. 1. Is h surjective? 2. Is h injective?

A:

Q: solve the equation. (round your answers to four decimal places.) e^2x-8e^x +7=0 x=       (smaller ...

A: topic  - expomemtial equation

Q: dx x3 3x². -8(y + 1) = 0 dy y+1

A:

Q: 2 The parabola y = x + 9 has two tangents which pass through the point (0, – 6). One is tangent to t...

A:

Q: 1. Market research for a certain ice cream company indicates that if the price per cup of ice cream ...

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly re...

Q: Find dy/dx by implicit differentiation. (sin Tx + cos ny)3 = 58 dy/dx = Need Help? Read It

A: Find your answer below 

Q: Given the following functions: f(u)=tan⁡(u) and g(x)=x^8. Find: f(g(x)) = f'(u) = f'(g(x)) ...

A: The given functions,fu=tanu and g(x)=x8

Q: Calculate the left Riemann sum for the given function over the given interval using the given value ...

A:

Q: 1 2. Let e =. Determine the smallest choice of N > 0 such that N. 6 ' n(n + 1)

A: To determine the smallest choice.

Q: Find an equation of the parabola that has a focus at (2, 17) and a vertex at (2, 9) y = Find an equa...

A: Follow the procedure given below.

Q: Find the equation for the plane through Po(-6,3,7) perpendicular to the following line. x= -6+t, y 3...

A:

Q: Find the vertex, focus, and directrix for the parabola y? : 8x Vertex: Focus: Equation of the direct...

A:

Q: Is the series convergent or divergent? Justify the answer {Vn – Vn + 1}

A: The solution is given in the next step.

Q: Evaluate by any applicable method. Si VVæ – 1 dæ 15 32 8 15 32 15 None of the choices. Please refer ...

A: Topic = Integration

Q: Use the linear approximation (1 + x)k = 1+ kx, as specified. Estimate 1.012.

A:

Q: find The equation of the circle if its diameter has on end points of (6,1), (-2,3)

A: Solve by geometry