Evaluate the triple iterated integral. 2 FIR 10 -1 xyz5 dx dy dz

Q: 1) Find the linearization L(x) of f(x) at x = a. f(x) = 2x2 + 4x - 1, a =

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: x²-2y³-4y=2

A: The given function x2-2y3-4y=2 We have to find the derivative of the function.

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A: Concept: The slope of a function can be found in its first derivative. The slope of the curve grows…

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Q: Evaluate the definite integral by the limit definition. [₁x -4 x dx

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Q: Consider the function f(x) For each prompt below, if no solution exists - enter "DNE". If there is…

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Q: Sketch a graph of a function that is negative on(0,2), increasing on [2,4], and has x-intercepts at…

A: As per the guidelines we are supposed to answer only one question at a time. If you want answers of…

Q: Step 4 Solving 4x + 2y - 24 = 0 and 2x + 4y = 20 = 0 simultaneously gives 73°F Mostly cloudy X= y =…

A: Here,         We have given linear equations in two variables now we have to find out the values of…

Q: If f(x) = f'(x) = f'(1) = = tan a - sec x 4

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Q: (16x+ 54-6) dx + (3x +y -1) dy =0

A: To solve the following differential equation.16x+5y-6 dx+3x+y-1 dy=0

Q: Question 3 Given that f(x) (a) f(g(7)) (b) g(ƒ(8)) = = 1 - 3x + 2 and g(x) = = - 2x² + 5x + 2,…

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Q: x²-2x Find all pertinent information and sketch the graph of f(x) = x²-4 Find all asymptotes: HA:…

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Q: + -4 -3 -2 -1 12 a what interval(s) is f(x) decreasing? what value(s) of a does f(x) have a maximum…

A: Topic :- calculus

Q: c) Describe the set of all 7. For a function f:A → B, the statement "f is surjective" is defined by…

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Q: 27. x² - xy - y² = 1, (2, 1) (hyperbola) 28. x² + 2xy + 4y² = 12, (2, 1) (ellipse)

A: Here not exist question 16 So i do first two questions

Q: 63. Between 0°C and 30°C, the volume V (in cubic centimeters) of 1 kg of water at a temperature T is…

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Q: a) Sketch a graph for the polynomial function. You must include all key features of polynomial…

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Q: x+2 find the absolute maximun and absolute minimur value of the following continuous function on the…

A: To find out the absolute maximum or minimum.

Q: 4. Find all local maximums and local minimums for f(x) = x³ - 2x² + x - 1.

A: We have given function fx=x3-2x2+x-1 Derivative of the function is given as f'x=ddxfx…

Q: Which of the following is the proper format for the x³ + 1 partial fraction decomposition of (x²+4)²…

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Q: Let f(x) = Then f'(x) = 4 sin x 2 sin x + 6 cos a π The equation of the tangent line to y = f(x) at…

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Q: -2 -1 5 4 3 2 1 2 ม 2 4 5 T 6

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Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

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Q: Find the limit. Use 5r3+ r2 _ 2 (b) lim H118 3 – 1.5r2 l'Hospital's Role

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Q: f(x) is shown in black (the thicker line), g(x) is shown in red (the thinner line). 6+ 5 3 N A + 5 6

A: Concept: A relation between a collection of inputs and outputs is known as a function. A function…

Q: Convert the integral below to polar coordinates and evaluate the integral. 3/√√/2 •√√9-y² Si 0 xy dx…

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Q: (2) DE (D² D²-70³-11 0²-80-12/9=0

A: A detailed solution is given below.

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Q: Find the indefinite integral. (Note: Solve by the simplest method-not all require integration by…

A: On solving this we will get

Q: Evaluate the following integral. 4 √2 S 0 dx 16-x²

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Q: Evaluate the expressions. (Simplify your answers completely. Use only positive exponents in your…

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Q: Find ST (x + y) dydx. 5 4

A: To evaluate the iterated integral.

Q: The equation x = ex 10. O (A) has two real solutions O (B) has one real solution O (C) has…

A: Make graphs of  y= x and y= e-x

Q: 2 Given Cost and Revenue functions C(q) =q³-9q² +53q + 5000 and R(q) = -3q² +2400q, what quantity…

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Q: KW. Solve the following 3....2 X... DX. + Xdy - where you... ************

A: By using exact diffential equation

Q: If f(x) = 7 sin x + 9 cos x, then f'(x) = f'(5) =

A: We can find the 1st derivative and the derivative at the indicated number in the below steps.

Q: 11 x ² D the top half of the disc with center the origin and radius 3, by changing to polar…

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Q: Use Fubini's Theorem to evaluate the double integral ff f(x,y) dA, where f(x, y) = 3x + 3x²y +9y and…

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Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. 0…

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Q: For the function f(x) given below, find the derivative (-¹)'(c) at the given point c, by first…

A: Topic - Inverse function and derivatives We are given, f(x)=5x+10x17we know thatif a=f-1(c)then…

Q: 4. If y = tan-¹(cos x), then dy = dx

A: As we know the Chain rule: fgx'=f'gx·g'x And Use the common derivatives.…

Q: Compute the gradients of the following functions. (a) f(x, y, z) = 3x exp(-x² - y² – z²) (Note that…

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Q: Evaluate the integral. (Use C for the constant of integration.) | √₁³²-2² 49 - x² X dx

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Q: D and E

A: Note: Since the student has mentioned to solve only parts (d) and (e), so we are solving this…

Q: Analyze the following rational function: f(x) 5+2x² 2 x -x - Include the following: 2 • Identify the…

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Q: Find nontrivial functions f(x) and g(x) such that f(g(x)) a. f(x) = b. g(x) = = - 4 x+6

A: Given function:- fgx=-4x+6

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A: The total number of students =60 The bar graph shows the percentage of students who got grades A or…

Q: 11) The graph of a rational function f(x)=n(x)d(x) is shown below. To view other parts of the graph,…

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Q: 4. At what point does the exponential function overtake the linear function on the interval (0,00)?…

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