lim x-0 tan x - x .3 X

Q: Solve the following ODES by Undetermined Coef D Ş 17 4X y - 16 y = 19.2 e + 60e, y(a) =ý (os. 4X -4X…

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Q: Find a unit normal vector to the surface at the given point. [Hint: Normalize the gradient vector…

A: The given surface is zex^2-y^2-1=0 and point (6,6,1).

Q: 000 is budgeted for production of the product, determine how that amo ion will be maximized when…

A: We are asked to find the maximize the profit

Q: write on paper for upvote please. Provide Exact

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Q: Write an equation for the function graphed below 13- 12- 1 - 5+ ++ -7 -6 -5 -4 -3 -2 -2 1-1 HE A 1 2…

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Q: ow many values of a are there such that lim h→0 (sin ¹(a+h)-sin h ~ ²² (a)) = = 4?

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Q: Use the one-to-one property of logarithms to solve. (Enter your answers as a comma-separated list.)…

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Q: Find the area between the curves. 6/5 y=x, y = 4x 1/5 ... The area between the curves is (Do not…

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Q: Зу" +y=0.

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Q: Evaluate the function at the given value of the Independent variable. Simplify the results. (If an…

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Q: 11. (2.3.34) Let f: B → C and g: A → B be functions. (a) Prove or disprove the following statement:…

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Q: The dose-response curve for x grams of a drug is f(x) = 8(x − 1)³ + 8 for x ≥ 0. (a) Make sign…

A: The solution is given below

Q: Show that the function f(x,y) = 8x²y subject to 3x - y = 9 does not have an absolute minimum or…

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Q: Find the gradient of the function at the given point. Function Point (8,4) f(x, y) Vf(8, 4) = = = x…

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Q: Replacement Time An outboard motor has an initial price of $2,160. A service contract costs $400 for…

A: Topic:- application of derivatives

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

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Q: Determine whether or not F is a conservative vector field. F(x, y) = (my + ²)i + (mx + 7);

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Q: For the given differential equation, what is the a) order, b) degree of the differential equation,…

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Q: Find a function of the form y = C + A sin(kx) or y = C + Acos(kx) whose graph matches the function…

A: Solution :find a function of a formy=C+Asinkx…

Q: A force of 720 newtons stretches a spring 4 meters. A mass of 45 kilograms is attached to the end of…

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

Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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Q: Let f(x)=√/25 - x The slope of the tangent line to the graph of f(x) at the point (9, 4) is The…

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Q: 4. In a chemistry class, the students in a lab derived a function to model the results of their…

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Q: Find the intervals where the curve is increasing and where it is decreasing. Also, find all z values…

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Q: Find c> 0 such that the area of the region enclosed by the parabolas y = x² - c² and y = 2²-² is…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

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Q: 2 Determine the length of the curve = = t³, y: 31² 2,0 ≤t≤ √3.

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Q: 9) 1 What value(s) of x makes + ed 0.91/14 4|33|4 b. 0, X x+4 = 2 true? C. d. 2√√3 3 3

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Q: h(x) = { 3-2 -2 if x≤-1 Cx² + 4x if x>-1

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Q: 2 2 6 8

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Q: A rectangle is inscribed inside the curve y = √9 -x in the first quadrant so that the base is on the…

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Q: For So √ 1² dt. use a change of variables to evaluate the definite integral. √5+t²

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Q: - The complementary function is १ex . Ус where C₁, C₂, C3, C4 си the particular Solution se = c₁ex +…

A: This is a problem of ODE. Please follow the procedure given below.

Q: 1. Let r(0) = 2sin(0) + cos(Ⓒ) be the polar definition of a planar curve. Find, in standard x-y…

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Q: Find the radius of convergence and interval of convergence of the series n=1 (x - 5)n n5n

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Q: Solve the initial value problem: y(x) = 2x - 4y√x² + 1. dy dx = 0, y(0) = -4

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Q: 1. 9x2 + 4y2 = 36 2.222² 쫑 = 1

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Q: 6) Identify the vertical and horizontal asymptotes of (x)= x-4 - 2x+17 b. vertical-x- 4, horizontal:…

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Q: Given the following graphs of f(x) and g(x), find the value of lim f (g(x)) in x→7 simplest form.…

A: Solution :limx→7fgx=fg7=f2       g7=2

Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

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Q: Find f(x,y) and fy(x,y). Then find fx (2, -1) and fy (-4,3). f(x,y) = In 5x4 +8x²y²| fx(x,y)=…

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Q: a b = A = B Note: Triangle may not be drawn to scale. Suppose a = 6 and c = 7. Find: B = b O A O

A: Solution: Given:  a=6,    and c = 7 Using Pythagorean theorem

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: 64 Use the first derivative test to answer the following: the function f(x) = 49x + I and a local…

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Q: Find 1) the eigenvalues of matrix B 2 -1 -1 0 2 -1 2

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Q: Write an equation for the function graphed below -7 -6 -5 -4 -3 -2 5+ 4- 3- 2 1 -2- -3 -4- -5+ 1 2 3…

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Q: Write an equation for the function graphed below. The y intercept is at (0,-0.2) -7 -6 -5 -4 -p 2 y…

A: To find the equation for the function.

Q: 2) Express 100C50 as a sum of two terms from Pascal's triangle.

A: Let us find thatThe  100C50 as a sum of two terms from Pascal's triangle.we know that the formula of…

Q: improper iterat 1/x3 y dy dx

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Q: Decide which of the two given functions is linear and find its equation. 12 3 4 X 0 f(x) 9 14 g(x)…

A: Topic = Functions