|x= 8| f (x) = Evaluate the left-hand limit of as X8. 16- 2x O 1/2

Q: A triangular trough 10m long, 4m across the top and 4m deep is being filled with water at a afficed…

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Q: Q4) Find plane area inside the polar function r = 2sin E-0) and outside T= sin in-e) in first…

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Q: Consider the parametric curve defined by 1=3+5t and y=1+3 Over which values of doesthe curve has a…

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Q: Q2) Evaluate the following integral using Trigonometric Substitutions Method: dx y V9x² + 16

A: The given integral is y=∫dx9x2+16 We have to solve the integral using Trigonometric substitutions…

Q: QI) Evaluate the integral dy dx using polar coordinate

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Q: Consider the parametric curve defned by r=3+5t and y=1+ Over which values of y does t curve has a…

A: Given problem:- Consider the parametric curve defect by   x = 3 + 5t and y = 1 + 3t   Over which…

Q: 36. (х, у) —- (0, 0) lim (x + y²) In(x² + y²)

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Q: 4.

A: Topic = Integration As per guidelines , At  a time only one question can be answered out of…

Q: Question 1 Which of the following is the Taylor series expansion of the function 'f (x) =e¬x² with…

A: Given problem:-

Q: Evaluate triple integral , dz dy dx.

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Q: Solve the D.E dy – (2x/1- y2)dx = 0

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Q: Find f'(1) if Aæ) = (x² –-x²-x+1)(x² + 1). 1 O 2 O -3

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Q: n(A U B) = 25, n(A N B) = 5, and n(A) = 20 Find the value of y. A В 5 y Your answer

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Q: (x-2)" En=0 n2+1 n3D0

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Q: Write the expression as a single logarithm. 4 log 27x-1 - log 2 + log 25 4 log 27x-1 - log 2 + log…

A: We have to simplify logarithm

Q: If 42 | f(x)dr = 10 %3D 59 and 42 | 9(z)dr = 30 59 and 42 |. h(x)dx = 32 59 what does the following…

A: Use additive property of integral

Q: Consider the tollowing Maclaurin series: (-1)"x2n (2n)! COS X = for all x e R. n=0 1. Let f(x) =…

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Q: PART II. Find the derivatives of the following expression, solution must be presented. (3 marks…

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Q: Let f(x) be a differentiable function such that for all x > 1, f(x) > 1 f(x) and f(x) < lim f(x) = 1…

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Q: Consider the parametric curve defined by x=3+5t and y=1+31 Over which values of , does the curve has…

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Q: Question A 13-foot ladder is leaning against a wall. If we pull the ladder the wall at a rate of 6…

A: topic - application of derivatives

Q: Q4/ solve the equation by Newton -Raphson Method: F(x) = x* – 5x³ + 65 , start at x =2 , accuracy…

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Q: For the functionf(x) given below, evaluate lim f(x) and lim f(x). x00 X→ー0 f(x) = -5x - 3x + 2 cos…

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Q: Find the saddle pointis of the function f(x,y) = x° +y°+i y+4 Oa(5-1) Oc (4.0) & (4,0) Od(0.0)

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Q: Evaluate the following integral using Trigonometric Substitutions Method: dx y = V9x2 + 16

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Q: 1. Water is being poured at the rate of 2 n m³/min. into an inverted conical tank that is 12-meter…

A: The water is leaking at the rate of π/2 m³/min.

Q: Find f"(3) if Ax) = X-2.

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Q: Find the absolute extrema of the function on the closed interval. (x) = 7x2 + 1, (-1, 2] minimum (х,…

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Q: Consider the parallelepiped with adjacent edges u = 9i + 5j + k v = i+j+ 8k w = i+ 2j + 8k Find the…

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Q: Q3) Find the Area bounded by the curves y? = x and x = 2y – y?.

A: The given curves are; y2=x &amp; x=2y-y2   Now find the point of intersection between the curve y2=x…

Q: Сорy of The global minimum of f(x) = x - 4x over the interval -2<x<3 occurs at what value of x? O a.…

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Q: Find the value of Oa 43 Ob.53 Oc 23 Od 13

A: Given: I=∫0∞e-3tdt   As we know that; ∫eax+bdx=1aeax+b+C

Q: Find each of the following indefinite integrals.  c. Z (r+2)^2/r^3 dr

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Q: 6. Use Laplace transforms to solve the initial value problems: (b) x" – x' – 2x = 0; x(0) = 0, x'(0)…

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Q: Find f"(-1) if Ax) = (x). -6 O -5 O 5

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Q: You are building a replacement trough for the company that built the faulty trough in the last…

A: This question can be solved using the concept of maxima and minima.

Q: Determine whether the following functions below is a solution or not a solution of the integral f(1-…

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Q: x² – 6x +9 dx 6x – x2

A: Here we have to find the integration.

Q: Consider the tollowing Maclaurin series: (-1)"x²n (2n)! CoS X = for all x E R. 1. Let f(x) =…

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Q: Water is pouring into a swimming pool. After t hours, there are t + sqrt(t) gallons in the pool. At…

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Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-9,0,…

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Q: Find an equation of the plane that passes through the point P(-5, –8,8) and has the vector n = (-8,…

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Q: Convert to an equation in rectangular coordinates. r = 4 csc (0) – sec (0) (Express numbers in exact…

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Q: All edges of a cube are expanding at a rate of 8 centimeters per second. (a) How fast is the surface…

A: All edges of a cube are expanding at a rate of 8 centimeters per second.a To determine how fast is…

Q: 02) Solve the D.E dy - (2x/1-y2)dx 0

A: The given differential equation is dy-2x1-y2dx=0

Q: +1

A: I have stated the used formula in the solution

Q: x2 – 125 lim x→-5+ x2 + 4x – 5

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Q: Q4) Find plane area inside the polar function r = 2sin E- 0) and outside r= sin -0) in first…

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Q: QI) Evaluate the integral dx dy using polar coordinate

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Q: 02) Solve the D.E dy - (2x/1-y2)dx 0

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