1) Think of a multivariable function that might model something in your own work, hobbies, family, or just life in general. You don't need a specific formula, just an idea of the inputs and the output. What would the partial derivatives of this function represent?

Q: -3 -2 -1 у 1 - 1 -2 -3 -4 -5- 1 2

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Q: Question 5 (i) Use the diagram below to find sin(0), cos(0) and tan(0). (ii) If sin (500) -1…

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Q: y-e-x4cos4x ស

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Q: Find the slope of the tangent line to the curve − 3x² + 2xy − 4y³ at the point (4, 1). - 44

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Q: lim 2-0 |3x-1| + 3x + 1| I

A: Given problem :- limx→03x-1+3x+1x

Q: Find the limit, if it exists. lim X-- 12-1 xº-1

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Q: Find la da without using the Fundamental Theorem of Calculus.

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Q: solved

A: Please refer to the image below

Q: lad Use Green's theorem to evaluate y² dx + 3xy dy, where c is the boundary of the semi annular…

A: Given Problem:- Use Green's theorem to evaluate ∮cy2dx+3xydy where c is the boundary of the semi…

Q: y = ln(4x³ + 7x)

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Q: If -y³ − 3 − x³ + 2y – 2y² = 0 then find dx in terms of x and y.

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Q: Five years after purchase the auditor of a newspaper company estimates the value of their printing…

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Q: Two cars are moving towards an intersection. One car is 190 meters north of the intersection and…

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Q: Consider the function f(x) = x 52+4 x + 1 a. Find the first derivative. f'(x) = b. List any critical…

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost other parts as…

Q: If √x + √y = 12 and y(1) = 121, find y'(1) by implicit differentiation.

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Q: A function f(x) is said to have a removable discontinuity at x = a if: 1. f is either not defined or…

A: Here is the solution:

Q: A piece of cardboard measuring 10 inches by 8 inches is formed into an open-top box by cutting…

A: Given, Card board size  10inches ×8 inches By cutting squares with side x on each corner.

Q: 2. f is a differentiable function on the interval [0, 1] and g(x) = f(2x). The table below gives…

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Q: Solve the differential equation (2x + y) dx (4x + 2y − 1) dy = 0 O a. 5x 10y + In 10x 5y 2|= C O b.…

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Q: ∞ 1.00 8e- dx = (If the integral diverges to ∞ or -∞, type oo or -oo; if the integral diverges in…

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Q: i cant understand this cuz it type

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Q: 1. The graph of y=f(x) is given below. -4 2 2 -2 a) Find lim f(x) or state why it does not exist. 7…

A: Given

Q: Find the indefinite integral and check your result by differentiation. (Use C for the constant of…

A: Here is the solution:

Q: -2-1 5 HA 4 у 3- 2 1 1 2 3 4 5 6 7 2 8 9 10 K

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Q: Solve (y³ + 2y² +9y+18) dx = (5x²y² x²y + 17x²) dy

A: integration using partial fraction

Q: Evaluate the definite integral. Use a graphing utility to verify your result. 9 [(u - 2) du Submit…

A: Topic:- application of integration

Q: Find the radius of convergence, R, of the series. R = 00 I = n = 1 xn n45n Find the interval, I, of…

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Q: On the line y = 2x + 1, what value of Δy corresponds to Δx = 3? Δy =

A: y=2x+1 We have to find ∆y corresponding to ∆x=3.

Q: 4) Activity 5: Check for Understanding (10 mins) A. Obtain the general solution of the given…

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Q: The function f(x) = 2x³ - 39x² + 216x 3 has two critical numbers. The smaller one is x = and the…

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Q: Consider the function f(x) = 4x + 4x7 4x³ 8. An antiderivative of f(x) is F(x) = Ax" + Bxm + Cx² +…

A: The given integral is fx=4x9+4x7-4x3-8 Integration formulas: ∫xndx=xn+1n+1+C∫dx=x+C

Q: -6-5-4-3-2-1 у 7г 6 4 3 2 1- -1 -2 -3 -4 -5 -6F 1 2 3 4 5 6

A: Range :- all the y value where function is defined

Q: sinx/(4+cosx)

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Q: If the relation represents a function, find the domain and range. (have it in interval notation.

A: Question: If the relation represents a function, find the domain and range. (have it in interval…

Q: 3. f(x) and g(x) are a differentiable function for all reals and h(x) = g[f(2x)]. The table below…

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Q: X 2 Find x² +1 -dx

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Q: Find lim Ax-0 f(x+1 + Ax) = f(x) - Ax f(x) = 3x². - 9x Step 1 Find f(x + Ax) by substituting x + Ax…

A: Given  f(x) = 3x2 - 9x

Q: Let R be the shaded region bounded between the curves y = x^1/3 (equivalently y^3= x) and 4y =…

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Q: (g) S 40t² 4t²+25 dt S du = u-atan ¹+C 4² u²+a² (be sure to list the parameters: a,b,u, du...etc)…

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Q: The graph of f(x) is shown (see figure). -7 (a) Find the following limits. L = lim f(x) = 2 Klim…

A: Concept: Limit of the function: Assume the function f(x). x should have values that are close to the…

Q: - п/2 эт/2 п/2 0 п/2 3г/2 5г/2

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Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

A: answer is in next step. please give a like!!

Q: f(x) = √x²-2 7+|x6| S if x < 2 if x ≥ 2

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Q: limr→(1 − )tan =N x

A: Concept: Limit of a function: Think about the f function (x). X must have values ​​close to the…

Q: f(x) = -2x² + 7 7x 10 - if x ≤ −1 if x > -1

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Q: A. Find the general solution of y" = 12x². dy B. Solve for y F dx - 4 x²-1

A: The given differential equations A) y''=12x2 B) dydx=4x2-1 use the integration formulas,…

Q: Find the indefinite integral and check your result by differentiation. (Use C for the constant of…

A: The given integral is ∫x3-6x-4dx Integral formulas, ∫xndx=xn+1n+1+C∫dx=x+C

Q: 3. State the components of a unit vector that is perpendicular to the vector =(5,2,-1).

A: To state the components of a unit vector that is perpendicular to the below vector v. v=5, 2, −1

Q: Find the area of the region enclosed by y = 3.25x and x = 3 - y². 2 Use horizontal strips to find…

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Q: Solve the following system of equations using the Gauss elimination method 4x - 3y + 2z = -16 -3x -…

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