The average daily height of a river can be modeled with a cyclic function. The minimum average daily height is 16 meters after 5 days. The maximum average daily height is 20 meters after 21 days. If the equation y = in meters, then the smallest positive values for a, b, c and d are: a*sin(b(x – c)) +d is used to model this situation where x = days that have passed and y = average daily height a = b = C = d =

Q: Question 12 Find the derivative. y = 126x A (72 In 12)126x B (12 In 6)126x (C) (72 In 6)126x D (6 In…

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Q: QU 5 a). A drug in the blood stream decays by according to the equation y'=ky, where y is the…

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Q: Find the fixed point iteration of the function y=sinx

A: We shall use fixed point iteration to solve this problem.To do this, we have to solve the equation…

Q: (b) Find the derivative of the given function: (i) sinh(z²) (ii) cosh (2iz).

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Q: What is the corresponding period and phase shift of the function f(t) = cot (2t - Tt)? *

A: Given that  f(t)=cot(2t-π) To find the period and phase shift

Q: alive. ind the secondLder y = 4x 4 - 8x 2 O 16x2 - 16 O 48x 16x +7 O 16x- 16x O 48x2 - 16

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Q: QU 3 a). A drug in the blood stream decays by according to the equation y'= Cy, where y is the…

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Q: Find the derivative. y = 5x 4 - 5x 3 7 O 4x3 + 3x2 O 20x3 - 15x2 - 7 O 4x3 + 3x2 - 7 O 20x3- 15x2

A: Given,  y = 5x4 -5x3-7  We have to find the derivative of  y = 5x4 -5x3-7

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Q: 1 Find the derivative of f(x) = v2 – 3xª 2 -4 |

A: We use chain rule to find derivative

Q: Find the indieated derlative Y=1-2x² 2tペールX

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Q: Complete the table attached in images. After completing the table in part 1 a) above, copy and…

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Q: 7. The number of visible sun spots varies rhythmically from 10 to 110 per year over a period of…

A: Given: The sun spots varies from 10 to 110 per year over a period of 11 years. The 110 max last…

Q: Question 24 Calculate the third derivative of the function y= xe. A 4e2(x+ 3) B 2e(2x + 3) ©2e2(x +…

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Q: Use Version 2 of the Chain Rule to calculate the derivatives of the following functions.

A: We have to find the derivatives of the following function: y=sin 4x3+3x+1 We know the formula of…

Q: 5) y= 2sin(x + T/4) + 1 Vertical Shift: Phase Shift:

A: If y= A sin(B(x+C))+D then,Amplitude -APeriod -2πBPhase shift -CVertical shift -D

Q: + mw Cai :) (T-T: Mu Cw + mai AI Ccu = Mu (Ten- Te)

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Q: If P'(t) represents the rate of change of the population of a small city in Indonesia (where t is…

A: P'(t) is the rate of change of population which means how much population is changing per year after…

Q: Question 8 v Find the derivative of: - 4x + 6x⁹

A: Given question:- Find the derivative of   -4x8+6x9 Topic :- derivative

Q: 13. Write a sine function with a horizontal shift of h=1.

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Q: Choose the correct answer. Derivative d O 9x9 O 8x10 09x8 .9 -x is equal to dx (Hint: Look at the…

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Q: If y = csch4 2x°, find the 1st derivative a. 20x*csch42x° coth 2x5 b. -40x4 csch4 2x° coth 2x c.…

A: Some derivative formulas: ddx(f(x)g(x))=f(x)ddxg(x)+g(x)ddxf(x) ddx(u(v(x)))=u'(v(x))ddxv(x)…

Q: A frozen pizza has a temperature of 28 degrees F and is placed into a 70 degree F room. After 10…

A: We know Newton law of cooling T=C+(T0-C)e-kt where, C = Surrounding Temp t = time T0= initial…

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Q: y = sin x cos6x x CO

A: Introduction :

Q: Write down an equation that relates the two quantities described. Then use implicit differentiation…

A: That's easy. Have a great day!!!

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A: Given that V→=-arir+briθ By comparing the given equation from the general equation V→=urir+uθiθ.…

Q: b) Evaluate S e-2t sinht dt an

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Q: Step 2 Now write the derivative in terms of x by recalling that u = x³ = x + 8. [eu] = (eu) du dx…

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Q: Exercise 2: Derive the formula for the derivative of arcsec(x) in two different ways: (a) Let…

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Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.