1 4 L = and g(x) = Find f(g(x)) and state the domain. Let f (x) %3D %3D x+2

Q: Find partial derivative.

A: We use product rule to find the partial differentiation.   

Q: The following fragment of a train schedule for the New Jersey Transit System defines a function f fr...

A: From the table, we see that  f(Hamilton Township)=6.27  

Q: Find two positive numbers x and y that minimize the product xy, and satisfyx + 4y = 120.

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Q: gives a formula for a function y = f(x) and shows the graphs of f and f¯. Find a formula for f in ea...

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Q: Give two different positive rotations that define the angle π/4.

A: The given angle say (x) is written as

Q: Suppose that functions f(x) and g(x) and their first derivatives have the following values at x = 0 ...

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Q: Find the absolute extrema of the function on the closed interval. f(x)=x3+6x2, [-6,1]

A: To Determine: Find the absolute extrema of the given function on the closed inteval.                ...

Q: Please show step-by-step solutions for the problems please!

A: Disclaimer: “Since you have asked multiple question, we will solve the first question for you. If yo...

Q: find the horizontal asymptotes of the function by computing the limits at infinity.

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Q: Prove the following result: lim csc 0 – cot 0 = 0 0→0

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Q: Based on the graph y=f(x) given (see attached picture),sketch the graph of the following transformat...

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Q: Copy and complete the following table of function values. If the function is undefined at a given an...

A: Given the incomplete table of trigonometric function values.

Q: 6. (a) Let f(x, y) = x³y*. Find the directional derivative of f in the direction of T = (3, 4) at th...

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Q: Determine whether or not the infinite series below converges.

A: Divergent test: If  

Q: Select the curve generated by the parametric equations. Indicate with an arrow the direction in whic...

A: We will make a table of values for t,x,y t x y -2 5.4 2.1 -1 1.7 1.4 0 1 1 1 1.4 1.7 2 ...

Q: Which numbers satisfy |a| = a? Which satisfy |a|=−a? What about |−a| = a?

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Q: In Exercises 39–44, each function f(x) changes value when x changes from x, to xo + dx. Find a. the ...

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Q: find the most general antiderivative or indefinite integral. You may need to try a solution and then...

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Q: 40. The region shown here is to be revolved about the y-axis to gener- ate a solid. Which of the met...

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Q: dy at the dx For problems 43–46 use implicit differentiation to find given point P. 43. 3 tan'x + si...

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Q: How is the addition formula used in deriving the formula (sin x) , = cos x?

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Q: 10. The base of the solid is the disk x? + y? < 1. The cross-sections by planes perpendicular to the...

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Q: メ dy using implicit differentiation when 5. Find dx 2 cos(y) = e. 0

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Q: Find the equation for all points at which the direction of fastest change of the function f(x, y) = ...

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Q: Is there a value of c that will make sin² 3x f(x) = C, x = 0 continuous at x = 0? Give reasons for y...

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Q: y=3x+4 / 2x+1 y`(0)=?

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Q: 2. Compute the second derivative, f"(x), of the function f(x) = e*. %3D

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Q: Find f(7/2) from the following information. i) f is positive and continuous. ii) The area under the ...

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Q: Based on the graph y=f(x) given, (see attached picture). Sketch the graph of the transformation on t...

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Q: This exercise uses the population growth model.A culture starts with 8500 bacteria. After 1 hour the...

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Q: What is ln(−3)? Explain.

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Q: A positive number x and its reciprocal are added together. The smallest possible value of this sum i...

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Q: Explain the following “proof without words" of the law of cosines. (Source: Kung, Sidney H., “Proof ...

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Q: 42. a. Find df / dx if 2 In t dt. f(x) = b. Find f(0). c. What can you conclude about the graph of f...

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Q: The figure here shows two right circular cones, one upside down inside the other. The two bases are ...

A: Consider h is the height and r is the base radius of the inner cone.

Q: 114. Show that if ƒ is continuous, then f(x) dx f(1 х) dx.

A: Proof that if f is continuous, then  

Q: y= e^7x  y`(0)=?

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Q: A balloon and a bicycle A balloon is rising vertically above a level, straight road at a constant ra...

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Q: prove using the IVT. √2 exists. Hint: Consider f (x) = x2.

A: we have to show √2 exists. Now let   

Q: Given that x > 0, find the maximum value, if any, of а. х/x b. х c. x' (n a positive integer) d. Sho...

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Q: f(x,y) = 2x3+4y3-3x2-120x-192y+5 Is f(x,y) a curve, vector field, or surface?

A: To check whether it is a curve, vector or surface. f(x,y) = 2x3+4y3-3x2-120x-192y+5

Q: Please

A: We write f(x) using ln(x) because we know derivative of ln(x) We use the change of base formula of l...

Q: 7x2 – 9 lim X-00 4.x +3

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Q: use the following fact derived from Newton's Laws: An object released at an angle 0 with initial vel...

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Q: A rectangular piece of cardboard, whose area is 198 square centimeters, is made into an open box by ...

A: Let the length of the box is = x cm  width= y cm.  Given height= 2 cm  So the volume=2xy    

Q: . The graphs in the accompanying figure show the position s, velocity v = ds/dt, and acceleration a ...

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Q: On a particular day, the power used in a particular state (in thousands of megawatts) could be appro...

A: Given that the power used by the function,   Differentiate with respect to “t”

Q: evaluate the limit if it exists. If not, determine whether the one-sided limits exist (finite or inf...

A: At first we simplify the given expression, then find it's limit.

Q: C Chegg: Thomas' Calculi x M Inbox (4,600) - aggarw b My Questions | bartleb M Inbox (1) - robotoe53...

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