-o 1-8 Si

Q: Suppose that 2 < f '(x) < 3 for all values of x. What are the minimum and maximum possible values of...

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Q: where t is time. Determine the time of MINIMAL intensity, and the MINIMAL intensity.

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Q: Find the indefinite integral. X COS 10nx2 dx

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Q: EXPLAIN what you understand by the extreme values of a function on a given interval. b) Is there an...

A: Consider a function y=f(x)

Q: The displacement (in centimeters) of a particle moving back and forth along a straight line is given...

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Q: A Real estate company with 14 employees in their central office, 8 in their north office, and 6 in t...

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Q: A body cools at the rate of 0.5°C per second when it is 500°C above the surroundings. What is the ra...

A: We solve the problem by using Newton's law of cooling.  

Q: X-2 What can we conclude about the function f(x)= X - 3 O The limit of f(x) as x approaches 3 from t...

A: Given : f(x) = (x - 2)/(x - 3)

Q: The partial derivative of the function f(x,y, z) = e-x cosy +ze with respect to z at the point (1, 0...

A: Solved below

Q: evaluate each of the following (or write DNE if it doesn’t exist): a) h′(1) b) h′(−1) c) h′(0)

A: Given, h=g∘f

Q: Gravel is being dumped from a conveyor belt at a rate of 20 ft³/min, and its coarseness is such that...

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Q: 8 4x3 lim I00 I -6 Find the limit

A: Here we will find limit,

Q: 2 = 5y + e-2*y-2 ; when y(0) = 2 dx

A: Given:    y'=5y+e-2xy-2     y(0) = 2

Q: Define h = f • g. a) Compute h'(1). b) Compute h'(0). c) Does h'(2) exist?

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Q: For the parametric equations: x= 39e and y = 16e dx (i) dt dy (ii) dt dy (iii) dx || ||

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Q: Evaluate the integral using tabular integration by parts. 2 x° V2 x +1 dx +C

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Q: A piece of wire, 100 cm long, needs to be bent to form a rectangle. Determine the dimensions of the ...

A: Given that a piece of wire 100cm long, needs to be bent to form a rectangle . We have to find the di...

Q: Find the area bounded by y=-17(x2 - x - 12) and the x-axis. Answer in two decimal places.

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Q: The radioactive element Carbon-14 has a half-life of approximately 5730 years. A fossil is measure t...

A: Given: Half life of Carbon - 14 is 5730 years

Q: Find the general solution of (x² +y² + 1) dx + (x² – 2xy) dy = 0 А. х? - у? — ху — 1 %3D Сх В. х2 + ...

A: As per guidelines, we"ll solve only first question. Uf you want another questions to be solved, repo...

Q: What is the volume of the largest circular cylinder that can be inscribed in a circular cone of radi...

A: Ans= 93.08. Square inch.......for detail...go through the solution

Q: Solve the system of linear equation below using Gauss elimination method: ´a 2 0\ (x 0 b 6 y) = 4

A: We have to find the value of x ,y and z

Q: Let a and n be positive integers such that a < n. If the derivative of the function y = ar" + næª is...

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Q: Left f(x) = x? + 3. Approximate the area bounded by the curve y = f(x), the x-axis, and the vertical...

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given point...

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Q: Find the indefinite integral. X cos 8TX2 dx

A: To evaluate the integral: I=∫x cos 8πx2 dx⇒I=∫cos 8πx2 x dx...(1)

Q: Problem 1 Determine the matrix exponential function e for a. 4- ) A = 3. b. 1 A = 3-1 3 -4

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Q: Given z = 2 cos t + 33 and y = 8 sin²t dz (i) dt dy (ii) dt dy (iii) dr

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Q: Given z = 3t- 33 and y = 9 sin t %3D dy (i) da

A: I am attaching image so that you understand each and every step.

Q: Sketch the graph of a function f(x) which has all of the following properties : (i) f has domain (-∞...

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Q: Find fxxyzz for f(x, y, z) = z°y2in x. fxxyzz = -12z?y/x2 O fxxyzz = -12zylx fxxyzz = -12zylx2 fxxyz...

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Q: 3 - 5æ4 5x4 6 dx x 4 x4

A: We have to find the integral

Q: Find the number c that satisfies the conclusion of the Mean Value Theorem on the gi does not exist, ...

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Q: Consider the following shaded region. YA y=ax - x? y=bx Find the area S of this region if a = 4, b =...

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Q: Evaluate A- using the method of adjoints 3 2 7 -3 3 4 1 A = 1 -4 -3 -4 1 -2

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Q: Find the approximate integral of the following function using Simpson's 3/8 rule and determine the a...

A: Here we use the Simpsons 3/8 rule

Q: A particle is moving with the given data. Find the position of the particle. v(t) = sint- cost, s(0)...

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Q: 1. The volume of a cube is growing at a rate of 2 in3/min. Determine the rate at which the surface o...

A: topic - application of derivatives

Q: Part 1 Find the equation of an ellipse with center at (0, 0), focus at (0, 3), and vertex at (0, -5)...

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Q: zivity: Evaluate the follo (4x3 – 3x2 + 6) dx

A: Given query is to evaluate the integral.

Q: The graph below is the derivative of the function y=f(x) on the interval x E [-3, 1]. Suppose f(x) i...

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Q: The following is a graph of g(x) = tan x – 2 sin x. y 4 y=g(x) 2 22 -2 -4 Figure 2 a) Compute g'(0),...

A: Tangent line

Q: In?(In(ar)) dr. a >0 -dx, a > 0 а. 2.x In(ax)

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Q: For the parametric equations: = 48e2 and y = 41et da (*) dt (6) dt %D dy (s) da %3D

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Q: 5+x*dx

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Q: Suppose that $19,419 is invested at an interest rate of 6.3% per year, compounded continuously. a) F...

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Q: X-2 What can we conclude about the function f(x)= X - 3 O The limit of f(x) as x approaches 3 from t...

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Q: Given x = 2 cost + 38 and y = 5 sin2t %3D

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Q: The radioactive element Carbon-14 has a half-life of approximately 5730 years. A fossil is measure t...

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Q: Suppose that f(z) = 1+36 (A) Find all critical values of f. If there are no critical values, enter-1...

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