Evaluate the function at the given values of the independent variables. Simplify the results. f(x, y) = 4x + y² (a) 4 (b) f(x + Ax, y) = f(x, y) Ax Ax #0 f(x, y + Ay) - f(x, y) Ay

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Q: explian how to get the domain, vertical asymptote, and end behavior of  h(x)=-log(3x-4)+6

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A: We have to compare the values of Δz and dz.

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A: We need to find integral.

Q: 8²f Let f(x, y) = cos(xe¹²) + cos(x + ey²), find əxəy O a. O b. O C. O d. -2yey² (sin(xe¹²) - x…

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Q: Estimate the slope of the graph at the points (x₁, y₁) and (x2, Y₂). At (x₁, y₁), slope At (x, y₂),…

A: We know:- sllope of a line passing through two points =y2-y1x2-x1

Q: Let f g and h be the functions defined below i. 11. f(x) = 5¹ = 10x₁ (²² = 4) g(x) = log5 h(x) = 6 x…

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Q: Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary Integer…

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A: This is a problem related to 2nd order differential equation of the newton's law of spring motion.…

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A: We can evaluate the given integral by using the integral formulas.

Q: Solve the given differential equation by undetermined coefficients. y" - 2y' - 3y = 8e* - 9 y(x) =

A: To find out the solution of the differential equation using the method of undetermined coefficients.

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A: This is a problem related to differential equation. Based on the general formula and concept we will…

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Q: The population density of a city is approximated by the model f(x, y) = 2000e-0.01(x² + y²), x² + y²…

A: This is a problem related to double integration. Please follow the general procedure given below.

Q: The given family of functions is the general solution of the differential equation on the indicated…

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Q: Example 8 -[ If K= = A 12 9 12 15 3 0 2 } what is the value of k₁3 +k₁₁? B 9 C 3 D 5 E 18

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Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(5,…

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Q: se e differential equation x²y" - 6xy + 10y = 0; x², x³, (0, 00). the given functions form a…

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Q: 4. (x-1)(2x³+2x²+3x+2) dx x³ (x+1) r 5. csc ³0 de

A: We have to integrate question no 4 and 5.

Q: Differentiate d/dx  ∫ [cos(x), 0] t dt (using the Fundamental Theorem)

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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…

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Q: Find where the function f(x) = 3x4 − 4x3 − 12x2 + 5 is increasing and where it is decreasing. show…

A: Topic = Functions

Q: Sketch the solid whose volume is given by the iterated integral and rewrite the integral using the…

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Q: Solve the differential equation by variation of parameters. y" + 2y' + y = e-t In(t) y(t) =

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Q: Solve the given differential equation by undetermined coefficients. y" - 2y' - 3y = 12e - 3 y(x) =

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Q: (4x²y² - x² + 4xy² - x) dx + (2xy + x + 2y + 1)dy = 0

A: This is a problem related to differential equation. Please follow the procedure given below.

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Q: USE NEWTON-RAPHSON'S METHOD IN FINDING ROOTS f(x) = ex²-2 + √√x + 2-3

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Q: -10 -10 10 (c) Describe the relationship between the graphs. The graphs off and f" are reflections…

A: Let's solve for c part.

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Q: A rectangular box with no top is to be built from 1452 square meters of material. Find the…

A: We use the method of langrange multipliers to solve the given problem.

Q: Consider the following second-order differential equation. 2y" + y = 0 Find all the roots of the…

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Q: Why is the Second Derivative Test inconclusive when f"(c) = 0? Explain. Please use clear…

A: This is a problem related to derivative. Please follow the procedure given below.

Q: *T/2 10 cos(0) r dr de

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Q: Find the (a) derivative y'= dy dx y = (n² + 5 secx) ㅠ of following Question tog 3 x

A: Note: Due to guidelines i can solve only your first question. Solution: a) y=πe+5sec xlog3x…

Q: Calculate given the following functions. O a. O b. O C. дz Əv O d. дz ὃν дz əv дz Əv дz Əv || Z = 2x…

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Q: Find the Jacobian a(x, y) / a(u, v) for the indicated change of variables. x = eu sin v, y = eu cos…

A: To find the jacobian.

Q: Find the derivative of f (x) = 30 6/2x+1

A: Given problem:- f(x)=-302x+16  TO Find:- Deriative of f(x)