Apollo manuFactures smartyphones at a variabl6 cost oF V Cx) = Q,000003x³ - 0, 3x² + 200x doll ars, where x denotes the number oF units manvFactured per month. the monthy FLxed cost a Hributable

Q: Identify the removable discontinuity. x2 – 16 f(x) : X – 4 (x, y) =

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Q: Gln (Z) is the gooup of inversible

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Q: What is the need of y=mx+b

A: The need of y = mx +b is given in the next step.

Q: Let y = 2x + 2 and t = x + 1.What kind of variation do y and t have? Explain.

A: Given: y=2x+2t=x+1

Q: Estimate S," 3x +x² using Mid-point method (n=6), then find the error estimate.

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Q: Q. / Standx dx 3 None 2log|sec4x| + c 3 8log|sec4x| .+ c 3 2log|sec4x| + c 4

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Q: A woman buys 5 packets of biscuits at $x each and 3 packets of biscuits at $Y each. What is the…

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Q: น อริน dt2 = a a Ou Ox? 2

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Q: Explain why it is not necessary to use the Quotient Rule to compute

A: Because in the first expression x is in the numerator and we are doing partial derivative with…

Q: 3. PS bisects ZP of A PQR. If QS = 2x - 4 and SR = x+1, PQ = 8 and PR = 5, find the length of SR and…

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Q: ) be the cost to produce x batches of widgets, and let R(x) be the revenue in thousands ars.…

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A: when a function is increasing its derivate is >0 but when its decreasing its <0

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Q: Differentiate the function. 2. y = (4x – 5)* (4 – x³) ² dy 13|

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Q: 1. y=x+5 y= 6

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A: Tabular method is used to integrate by parts. Here we take first function to be x5 and second…

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Q: Use L and L to solue y' t 3y= f4) y)=5, where f4), (32)

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Q: Use implicitdifferentiation to finddy/dxfor x - y2 = 3.

A: Given: x-y2=3 To determine: dydxusing implicit differentiation.

Q: If x2 + y2 = 4 which has domain Dr=[-2,2] range Rf=[0,2]. Shrink and stretch it vertically by 3…

A: We are given:  x2+y2=4⇒y=4-x2=f(x) For shrinking vertically by 3 units , we have: f(x)→13f(x) Hence,…

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A: For a simple bivariate regression, the linear correlation coefficient and R-square will be the same…

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Q: 8r2 te V1-4.a

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Q: the of olution using simplex me Max z = 8x, + 10x, + 7x3 s.t: 4x + 6x3 + 3x3 S 60 7x, + 2xz + 5x, S…

A: In this question, the concept of Linear Programming is applied. Simplex Method An approach to…

Q: Which is larger:√2.1 −√2 or√9.1 −√9? Explain using the Linear Approximation.

A: To identify using the linear approximation, which is larger out of √2.1 −√2 and √9.1 −√9.

Q: Sa x5 √x² + 1dx

A: To integrate.

Q: If the total Revenue in ABC Company has given by R=-x^3+ 285x 2+ 45000x. where Ris measure in pesas…

A: topic - application of derivatives   250 units

Q: Let fx) = cx and suppose that R4) = 8. Find the value of c. (Round your answer to two decimal…

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Q: Find the extrema of (x+1)(y+1)(ax+by+c) Where a=8,b=7,c=6.

A: Let F(x)=(x+1)(y+1)(ax+by+c)       Where a=8,b=7,c=6. Or     F(x)=(x+1)(y+1)(8x+7y+6)…

Q: can be obtained as dv dt -9. 81 – 0.0321 × v²

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Q: 11 sec²(3t), 0 < t C₁ and C₂ as arbitrar

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Q: Q4. Calculate div F where F = grad(x' + y³ + z³ - 3xyz).

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Q: Suppose y=ect where c cannot be equal to 0. If a is a given positive real number, when does y=a?

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Q: If f'cx)= gica) for 0LKLH, then fca)=9(x) for OLxel True or false?

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Q: 20TH MAHH, Determine The deriva )y=3e* +916 4x t I +

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Q: Use Example 4 to calculate -(r x r'), where r(t) = {t, t2 , et)

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Q: Find y' for 4x + 5y* – 1 = 132 at the point (2, – 1). | At (2, – 1), y' = Preview %3D

A: Given: 4x5+5y4-132 To find: y'  at  (2,-1)

Q: Differentiate with respect to t 100 = x2 + y2

A: give equation ;- 100=X2+Y2 when we differentiate above equation with respect to t , we get

Q: find the extreme values (absolute and local) of thefunction over its natural domain, and where they…

A: Given: y = 2x2 -8x +9 To find: The extreme values of the function over it's natural domain, and…

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Q: ationalize the d V49

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Q: For a certain mammal, researchers have determined that the mesiodistal crown length of deciduous…

A: Given:The L(t)=-0.015t2+1.49t-7.7, where L(t) is the crown length (in mm)of the molar t…

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Q: Consider f(x, y) = 57x2 +61ry+ 7y? f-(x, y) = %3D and fy(x, y) = %3D

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Q: Let (-) - {. S 8x², x 9 Find the values of a and b so that f will be differentiable at x = 9. а i b…

A: For differentiable function, left hand derivative is equal to right hand derivative

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Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.