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Q: Calculus Question

A: Limit defination of derivative f'(x)=limh→0f(x+h)-f(x)h

Q: Name the marked angle in 2 different ways. R S

A: There are different ways we can name an angle for identification.

Q: 8. The domain of - consists of numbers x for which g(x)_0 that are in the domains of both – and,

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Q: Calculus Question

A: Given: z1=-7+i and z2=5+4i We know that addition of two complex number , we add the corresponding re...

Q: Calculus Question

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: 1. Determine if the function is even or odd g(x) =x³ +x, f(t) = 1 + cost %3D 2. Calculate x2-4x+8 li...

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Q: Solve Q7 & 8 showing clearly all steps

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Q: Express in the form x + jy (3) sin(t/4+j2)

A: Complex Number Question

Q: (tanxaa

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Q: Given f(x) = x²+3 and g(x) = ¤ – 4, find (f + g)(x). Simplify your answer.

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Q: Graph the curve r 2+2cos 20

A: The curve is r=2+2cos2θ.

Q: 1/ Find the area of the region enclosed between the curves y= 2r'+10 and y=4x+16 and x=-2 and x=5? a...

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Q: Calculus Question

A: The given function is :    f(x)=x-5x2-49

Q: Find the derivative of function. g(z) = (e2z + ln z)3

A: Given that: The function is g(z) =e2z + ln z3 .  

Q: Use the addition formulas to derive the identities in Exercise

A: Use the addition formulas to derive the identities in Exercise                             cosx+π2=-...

Q: what is the value of expressoin 26

A: We have to find the value of the expression 26.

Q: 10. Ir f(x)dx = 5 and g(x)dx = -1, then (a) f(x) 2 g(x) (b(rCx) + g(x)) dx = 2 (e) f(x). g(x)dx =-5 ...

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Q: 2.prove Hhat くaっで)-京、

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Q: In Exercise, one of sin x, cos x, and tan x is given. Find theother two if x lies in the specified i...

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Q: Revenue Suppose that the manufacturer of a gas clothes dryer has found that when the unit price is p...

A: Revenue Suppose that the manufacturer of a gas clothes dryer has found that when the unit price is p...

Q: Find the unique solution to the differential equation that satisfies the stated condition. dy 2x + s...

A: We have to solve the following differential equation

Q: Speedometer readings for a vehicle (in motion) at 11-second intervals are given in the table. t (sec...

A: This question is about integration as sum of limit 

Q: Find the Derivative using the Quetient Rule

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Q: For the given points X, = 1, x =1.5, x, = 2.5 and x3 = 3. Find Lagrange Interpolation polynomial ww ...

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Q: Solve number 8.

A: Equation  of normal line y-y0= 1/(-dy/dx) (x-x0)

Q: 1) Find the equation of the curve whose slope at any point p(x,y) is m = (x*+16x +4) (x+4) and passi...

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

Q: Solve Q16 Showing detailly all steps

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Q: 7. The time required to drive from Atlanta, Georgia, to Nashville, Tennessee, varies average speed a...

A: we know, Time=distancespeed thus we observe that time is inversely proportional to speed. i.e.  if s...

Q: 91. Constructing Functions Express the gross salary G of a person who earns $10 per hour as a functi...

A: Given: A person earns $10 per hour. To find: A function that express the gross salary G of person if...

Q: Q No 2: a) Discuss the convergence and divergence of (1 + a"), va €R.

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Q: Solve Q14,(i) & (ii) showing clearly all steps involved

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Q: Solve Q1, 2, & 3 showing clearly all steps involved

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

Q: . Find all points on the curve y - tan x, -/2 <x< /2, where the tangent line is parallel to the line...

A: Consider the curve  y=tanx                    −π2&lt;x&lt;π2 Equation of line  y=2x  

Q: Solve Q3, 4 &amp; 5 showing clearly all steps involved

A: We have to express partial fraction

Q: prove cos(n*pi) = (-1)^n

A: To prove: cosnπ=-1n

Q: 18. Find relative extrema of f(x) = sin cos x, over the interval E, . Check where function is increa...

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Q: 1. lim x- 2x + 6

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: Can Mean-Value apPlied for he funchion on the indicated Closed [0,1 if Your yes, then Bind the valde...

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Q: Q3; Find the Fourier series expansion of a Triangle function for (-x5xSx). (25 mark)

A: We will find the fourier series expansion of a triangle function for ( -Pi ≤ x ≤ Pi )

Q: Calculus Question

A:   A differential equation of type   P(x,y)dx+Q(x,y)dy=0   is called an exact differential equat...

Q: Find the area

A: Consider a vertical elemental strip of length dx and height dy in the region as shown in the diagram...

Q: Find the function values in Exercise

A: Given                   cos2(3π8)      we have  convert radians to a degree by multiplying 180π     ...

Q: Maximizing Area A rectangle has one vertex on the liney = 10 - x, x &gt; 0, another at the origin, o...

A: Maximizing Area A rectangle has one vertex on the liney = 10 - x, x &gt; 0, another at the origin, o...

Q: Evaluate the following limits, or explain why the limit does not exist. do not use L'hopital's rule

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Q: find any interceptsand test for symmetry. Then sketch the graph ofthe equation.y = 2 − 3x

A: The condition for test for symmetry is as follows: 1. The graph of an equation in x and y is symmetr...

Q: State Cauchy–Schwarz inequality.

A: To state the Cauchy–Schwarz inequality.

Q: Find the first partial derivatives of the following function. 2s +t f(s,t) = 4s-t

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Q: Find v e where ||v|| = 3, e is a unit vector, and the angle between e and v is 4.

A: Here given as  v=3, e is unit veactor.angle between e and uα=2π3.

Q: 3-(2x-45y)dx +(5x+33%}) Ayzo

A: A differential equation of type   P(x,y)dx+Q(x,y)dy=0   is called an exact differential equation...

Q: The graph of f(x) is shown below. Estimate and list the value of x where f(x) has a horizontal tange...

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