lim =√x² - 2x + 5 X→-2 lim x→2 (5(x² − 1)² – 10)

Q: ди Әt zre + Hu дуг

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Q: Q5/Solve the following ODE using Laplace transform y" - 2y' - 3y = e-2x, y(0) = 2, y'(0) = -1

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Q: Evaluate: * 1 2 z² dz z²+3z +2 -6лi 3лi inside the circle |z| = 4 4 3 -6 πί

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Q: Write a compound inequality for the graph shown below. Use x for your variable. 4 -10 -9 -8 -7 -6 -5…

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Q: 3. Show √4+2√3 - √3, √6 + 4√2 – √2 are rational numbers.

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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A: Question 1: Given, fx,y=x2+y20≤x≤2,0≤y≤2 Note: On differentiating partially with respect to one…

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Q: Use Convolution to solve inverse function: पूर्ण होजा? solve inverse laplace of a

A: Find the Laplace Inverse of a function using convolution L-11s3s-1=?

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Q: Let f(x) = 6x3 and g(x) = x² – 8. Compute the following functions. 1. f(g(x)) = | 2. g(f(x)) = 3.…

A: The functions are given by fx = 6x-3 and gx = x2-8 To determine: The expression of the following…

Q: Let f and g be differentiable functions such that f' (1) = 2 and g' (1) = 6. If h (x) = 5f (x) - 4g…

A: Given: f and g be differentiable functions such that f'1=2 and g'1=6 hx=5fx-4gx+3x2-2 To find the…

Q: Find the arc length of the graph of the function over the indicated interval. y = ²(x²+1) ³/²2 -1 y…

A: Given y=23x2+132

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A: Given graph:-

Q: 4. Two persons travel by car to separate cities in the same amount of time. The first person travels…

A: Distance=Speed ×Time  then   Time=DistanceSpeed

Q: x = i + 7 + k‚ ÿ = 37 -27, and = 7+37-4k. Determine ☎ + y + z. 57+27-3k

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Q: Evaluate f(4) and f(4.1) and use the results to approximate f'(4). (Round your answer to one decimal…

A: This question can be solved using the formula of approximation of derivativesf(a+h)-f(a)=f'(a)×h

Q: Evaluate Answer: tan³ t cos4 t dt.

A: To evaluate: I=∫tan3tcos4tdt=∫tan3t sec4t dt=∫tan3t sec2t sec2t dt=∫tan3t(1+tan2t)sec2t dt

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A: Limx-3(x2+2x-1)=14.

Q: 1/m 12x-141 *ㅋㅋ X-7

A: We have to check the limit of the given function at 7- and 7+

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Q: Course Messages Forums Gradebook Home > Fall22 - Math 1201 (calculus 1) 120066> Assessme Are You…

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Q: If f(x) = sinx, then lim (A) B C (D -2πT -1 1 f(2π)-f(x) = x 2π x-2п 2πT

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Q: eliminating of arbitrary constant cy^2 = x^2+y

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Q: 6. Find where the function f, pictured in theon the right, is decreasing.

A: To find out the intervals at which the given graph is decreasing.

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Q: Exercise 3. If x₁,..., Xn E RK, prove that x₁ ++Xn ≤|x₁| ++|xn|.

A: Given that, x1,...,xn∈ℝk To prove that, x1+....+xn≤x1+....+xn

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Q: 9. The density function of a random variable X is expressed as f(x) = e4-x for x > 4. Find the…

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Q: Find volume of parallelepiped which sides the vectors A = i + j + k, B = 2i3j+ k, and C = 3i - j -…

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Q: olve for x using Newton-Raphson Method 2sin(x)+9^x−3=0 NOTE: INITIAL VALUE IS ZERO

A: Given Equation, 2sin(x)+9^x−3=0 Let f(x)=2sin(x)+9x−3

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Q: Find dy by implicit differentiation. dx √xy = x²y + 29 dy dx X

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

Q: B)Z = 1 + e, find |Z|.

A: Let's find.

Q: 5. A stained glass window is to be placed in a house. The window consists of a rectangle, 10 feet…

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Q: Evaluate Answer: [*cos'a dit.

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Q: Differentiate y with respect to T 85T²+85T √4T y=

A: Since multiple questions are asked I am answering first question

Q: For each equation below, determine if the function is Odd, Even, or Neither f(x) = 3 - x² Select an…

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Q: This is the graph of function f. 2- T Y -2 1 2 3 4 → x

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Q: Convert r = tan20 to cartesian.

A: Given; r=tan(2 theta).

Q: 74 t4 - 1 lim t→l t³ – 1

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Q: Where did the square go and how did we get -4 as a coefficient

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Q: Given the function f(x) a) Calculate the slope of the tangent line at the point (-2,- 12). = 4x x²,…

A: Here, the given function is: f(x)=4x-x2⇒f'(x)=ddx(f(x))             =ddx(4x-x2)…

Q: Evaluate the integrals (2) (3) (4) sin 2x cos 5x dx ✓ cos 2x cos 3x dx [ sin³x cos²x dx

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Q: Problem 2.3: Find the G.S. of Hint: Recall relationship y' = d = dx dy = (x dx + y) y ³ dy dx (1²)

A: Please refer to the image below