lim (√x² + 4x +1 − x) x→∞

Q: Find an antiderivative F(x) of the function f(x) = 7 sin(x) such that F(7) -9. F(x)= = = Now, find a…

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Q: Determine an equation for normal to the curve y = at x = x = -2.

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Q: Which of the following five series n+1 1 Σ nvn n=1

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Q: √4x²(x³-5)ª dx = Ox³(x¹² - 25x¹ +250x6 - 1250x³ +6250) + c 12 15 O 16(x³ - 5)4 + c ○(x³ - 5)5 + c…

A: To evaluate ∫4x2x3-54dx Formulae used d(xn)=nxn-1d(constant)=0∫xndx=xn+1n+1+c

Q: Question 3 limx→+∞ e-√√ OI Oll O III OIV O Not Indeterminate

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Q: 1.If f(x,y) cos(4x-2y)+ln(y² -2x) find £xy fx fxy,

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A: The given function: gx=-4ex.We need to find the slope of the function at the given point.

Q: Pls help ASAP

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Q: The function f(x) 2x³ = local minimum and one local maximum. This function has a local minimum at x…

A: The given function:fx=2x3-45x2+300x+6.We need to find its local minimum and local maximum.

Q: Solve the following initial value problem for r as a function of t d²r Differential equation:…

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Q: ל 15 18 a = (3₂16) 6= (-2,0,1) → 08 -> 2² = ²²-23 +5k →> oc CẢ OA

A: Given :a→=3,1,6=OA→b→=-2,0,1=OB→c→=i-2j+5k=1,-2,5=OC→

Q: solve the differential equation for initial value problem using the method of undetermined…

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Q: Find the horizontal and vertical asymptotes of this curve. 2x²+x-1 y= = x²+x-2

A: Given.

Q: 18. sin³ x cos x dx

A: Here we will use substitution method for solving this problem

Q: Researchers fit data from over 6000 fetal ultrasounds. They measured the femur length, L, (in…

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Q: Consider the following. y = = In(x²) Find y'. y' = Find the slope m of the tangent line to the graph…

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Q: Q3) Given, u (x, y) = xy is harmonic, find a harmonic conjugate v(x, y), write u+iv as a function of…

A: As we know that for complex analysis z=u+iv   then u and v are conjugate to each other.Then by…

Q: 1 Given f(x)=³-57² +24r, which of the critical number found in the previous number is f(c) a…

A: You must have an idea about to how to find relative maximum or minimum using critical points.

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: Q1) L-1 1 s(s²-1)/ a) cosht-1 b) 1-cosht c) (cosh2t - 1) d)/(1-cosh2t) Q2) The general solution of…

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Q: 3 M8 n=1 (Inn) 13/2

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Q: P1: Calculate the area bounded by the curves: C. y e* and x - 2y + 5 = 0, and y-axis.

A: To calculate the area bounded by the following curves.y=e-x and x-2y+5=0, and y‐axis.

Q: Write the matrix below as a product of elementary matrices 1 2 3 235 1 05

A: The objective of the question is determine elementary product of matrices ,of the given matrix

Q: Convert the point (p, 0, 6) = = (x, y, z). (0, 1, V X (Give the point in traditional notation.) 2 2…

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Q: What is the z-transform of the ?signal x(n)=(0.5)nu(n) Roc |Z| 0.5 Option 1 1 (1-0.5z-¹) 1…

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Q: An object is moving with velocity (in ft/sec) v(t) = t² - 2t + 2. At t = 0, the object has a…

A: Topic = Integration

Q: P3: Calculate the volume of solid of revolution when the region bounded by y = cos x and x² - y - 2…

A: We have to calculate the volume.

Q: Solve the following Differential Equations with Laplace Transforms y" - 6y' + 15y = 2 sin(3t), y (0)…

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Q: Show that: l (i) a a a a al la al = = (2a +l)(l

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Q: Find the area of the region under the graph of the function f on the interval [4, 5]. 9 f(x) = -2²/2…

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Q: S dy ² + 4y+20) ²

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Q: P2: Calculate the volume of solid of revolution when the region bounded by y = √x + 4 and x - 2y + 4…

A: Given problem:- Calculate the volume of solid of revolution when the region bounded by y = √(x + 4)…

Q: QY/ Find the direction devivative of f(x,y) = x₁² + yet at the paint (2,1), by the dirction of V =…

A: We have to find the directional derivative.   According to our guidelines we can solve only one…

Q: Given ƒ (t) = L-¹ [³+4 f value of k is 3s+1 s³+4s²+s(k−3) if lim f(t) = 1, then the t->∞0 10

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Q: The table below shows values for four differentiable functions. Suppose we know the following…

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Q: A car drives 30 km northeast, then 10 km south. Its displacement from its original position is a)…

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Q: A transportation company sells 2000 bus tickets per day when the price is $10 per ticket. They…

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Q: Q1) L-1 a) cosht -1 b) 1 - cosht c) (cosh2t - 1) d)/(1-cosh2t) Q2) The general solution of y"" + 2y"…

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Q: Its tot as TR = 300q - 6q² and its total costs as TC = 4q². a) Determine the optimal quantity and…

A: Given

Q: The acceleration of an object (in m/s²) is given by the function a(t) = 8 sin(t). The initial…

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Q: Which of the following functions is entire? For each, justify. f(z) = (x² - y²) - 2xyi

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Q: Given the function f(x)= = Find the difference quotient Find f'(x) by determining lim f(x +h)-f(x) h…

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Q: if X(z) is the z-transform then what is the z-transform of x(n) of x(n- ?6)

A: In this question, we need to find the z transform of x(n-6).

Q: let A be a bounded. Sup A non. n-empty set in R show that is a limit point of A.

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Q: 1+1=

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Q: 2. A line has y-intercept 11 and 3-intercept-13. [x, y, z)= [0, 11, 0]+[0, 11, 13] C [x, y, z]= [0,…

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Q: 5.494949... = 5. 49494 100000 X

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Q: 5) An isotope of lead decays according to the function remaining, in grams, after t minutes. a) What…

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Q: Q3/ Solve dy dx4 2d²y + 1 = 0 dx²

A: Given d4ydx4-2d2ydx2+1=0To find solution:

Q: Find the critical values (if any) of the given functions. With solution please.

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