1- y = Sin = X y = 3+ Sinx 3- Graph the functions: 1 ارسم الدوال ۔ 2- y = 3 tanX 4- y = cot 3 X

Q: Define f : R 2 → R by f(x, y) = x 2 + y 2 . Compute the linearization of f at (−1, 1).

A: We have to find the linearlization at (-1, 1)

Q: If cos(0) = sin(0) = - 1 and is in quadrant III, find the exact value of sin(0). 9

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Q: Solve 2 sin² (x) - 3 sin(x) + 1 = 0 for all solutions 0 < x < 2π x= Give your answers as a list…

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Q: Determine the convergence or divergence of the series. 2 n(n+3) Step 1 Decompose to partial…

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Q: Use the Monotone Convergence Theorem to show that the sequence n! +∞o (1 · 3 · 5 ··· (2n − 1)) n = 1…

A: l

Q: trigonometric substitution 2 X (9-x² -dx

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Q: 6. Write down the partial differential equations for; (a) Diffusion equation (b) Wave equation,…

A: Diffusion equation identical to heat equation  Wave and Diffusion equation contains partial…

Q: ۱۰۱۱ A function is said to have a horizontal asymptote if either the limit at infinity exists or the…

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Q: TO 1 1 3 2 -a 2 123 b 1 3 1 0 1 0 0 3. C Ld- 3 UAN со 2 4 5

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Q: Use partial fractions to evaluate x² + 4x + 1 Lix (x − 1)(x + 1)(x + 3) dx

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Q: The derivative of y = In(sin(ex + 1)) is O y' = -ex cot(ex + 1) the above y' = -ex tan(ex + 1)

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Q: 6. Use the difference quotient to estimate the 2 instantaneous rate of change in f(x) = x² at x=3…

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Q: Consider the following differential equation to be solved by the method of undetermined…

A: Given: The characteristics equation is m2+2=0. So,                m2+2=0⇒m=±2i So, the general…

Q: 9. Estimate the value of the convergent series 8 k=1 (-1)^² k! + 2k with an absolute error less than…

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Q: 6. Find the value of -1 I 1 = [ ²₁ [2²=2² (2² + 1²³) dy d²x + + [ ₁ [²*² (2³² + y²³) dy dz I by…

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Q: 2. A right circular cylindrical container with volume 167 cm³ is to be made. Use the method of…

A: According to question,Volume of cylinder = 16π cm3

Q: 4. A speed vs. time graph is shown below. What is the average rate of change in the speed for the…

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Q: Find the Laplace of f(t)= (t-2) (t+2)e-3t

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: ГО Г0 1 3 2 -а 1 2 123 b 1 3 1 0 1 0 0 3. C Ld. 324 [5]

A: 0132212313101003abcd = 3245 from this find a,b,c,d using gauss elimination method using this method…

Q: (b) If ƒ : [0, ∞) — R is continuous on [0, ∞) and F(x) = Then show that ª (x − t)ƒ(t)dt, x ≥ 0. ď² F…

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Q: Find the directional derivative of the function at P in the direction of Q. g(x, y, z) = xye⁹², P(2,…

A: Given :gx,y,z=xye9zP2,2,0, Q0,0,0

Q: Hello! I need help on this question. Question number 1 with all work shown please!:) And thank you.

A: Topic:- application of derivatives

Q: Consider the following. w = √36 - 4x² - 4y², x=rcos(8), y = r sin(0) (a) Find aw/or and aw/00 by…

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Q: 4. Determine the intervals of concave upward and downward, points of inflection, critical num- bers,…

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Q: A drug is infused into a patient's bloodstream at a constant rate of r grams per second.…

A: A drug is infused into a patient's bloodstream at a constant rate of r gram per second…

Q: Fill in each blank with an angle between 0° and 360° such that sin 220° = sin and cos 220° = cos 0

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

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Q: (x + y \(xdy+ ydx)– xy(xdx+ydy)=( +y²

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Q: Complete detailed solution. What is the equation of the tangent line at (0,0) of f(x)=2x²-3x

A: We need to find out the equation of the tangent line at the given point to the curve given.

Q: Consider the following differential equation to be solved by variation of parameters. 4y" - y = x/2…

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Q: Find the area of the region between the curve y = 1/1 + x^2 , 0 ≤x ≤√3, and the x-axis.

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Q: What is the sum of odd numbers from 1 to 501. 2. Find the sum of the first 50 even numbers.

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Q: 3. The following is an incorrect solution to evaluating the integral of dx/(1 + 4x^2)^3/2 . Set x =…

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Q: ¹.8 The point P(25, 7) lies on the curve y = √2+2. Let Q be the point (a, √ + 2). a.) Find the slope…

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Q: 5. fsin²xcos xdx

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Q: Find the general solution of the differential equation. · 11y(4) + 29y"”" — 11y″ + 28y' = 0. NOTE:…

A: A detailed solution is given below

Q: What is the circumference of the circle with a diameter of 4 cm?

A: circle is given  diameter of circle = 4 cm  we have to find circumference of circle  formula of…

Q: If f(x) = x² + 2x and g(x) Answer 11 X , find f(g(t)). f(g(t)) =

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Q: Find the minimum distance from the point (5, 0, 0) to the paraboloid z = x2 + y2. (Give your answer…

A: Given:    z = x2 + y2  Point: ( 5, 0, 0 )

Q: Consider the following differential equation to be solved by variation of parameters. 4y" - y = ex/2…

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Q: Find the general solution of the differential equation. y(5) — 11y(4) + 29y"″ − 11y" + 28y' = 0.…

A: Let's solve given diffrential equation.

Q: Using an appropriate substitution, the integral cos cos (ln(2x)) X is equal to dx - — cos(ln(2x)) +…

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Q: The total stopping distance T of a vehicle is shown below, where T is in feet and x is the speed in…

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Q: Complete detailed solution. What is the derivative of 1 1(x) = (2+²+ -x)(-+1+√x²) x+1

A: To determine the derivative of fx=12x-2-x-1+x4x+1

Q: Complete the equation for the piecewise function graphed below. +6+ 5 -4- 3- 2 + -6 -5 -43 -2 -1 H…

A: For any straight line ,we need know two points, Here from -6≤x≤2 clearly line passing through two…

Q: It has been determined that the cost of producing x units of a certain item is 10x + 363. The demanu…

A: To find the revenue function, while cost and demand function of the product is given

Q: Take xlt) then x (10) = X => x/w) = Ś j'₁. é just dt = x(w) == 1 ζω X/W) = Lx -jwt -jw jw -jw 1 -…

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Q: (a) What is the radius of convergence of a power series? How do you find it?

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Q: Consider the graph of distances from the origin as a function of time for a car trip. 150+ 100…

A: We have given graph of distance vs time.

Q: ℗ Solve the following ODES by Undetermined Coeff. в +у= y-2y +y = esinx Ans: y = ₁₂e + ₂ xe - è sin…

A: As per the rules we can answer only the first question and rest can be reposted.