Please solve the curve sketching Equation including the table, Domain, Intercepts, Symmetry, Asymptotes, First Derivative, Second Derivative and Curve Sketching. Please explain each listed thing step by step and clear.   Equation:  Let y = 3 X^4 - 5X^2

Q: Using simplex method, to find the optimum values for X1 and X2 that maximize the values of Z.

A: Find the solution

Q: - The sum of the perimeters of an equilateral triangle and a square is 10. Determine the dimensions ...

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Q: If f(x) = logax, show that ) = -f(x). f %3D

A: Given, f(x)=loga(x) Substituting,x=1x,in f(x) we get: f(x)=loga(x)⇒f(1x)=loga(1x)⇒f(1x)=loga(x-1)   ...

Q: use the formal definition of limit to prove thatthe function has a continuous extension to the given...

A: The given function is gx=x2-2x-32x-6. Note that at x=3, the above function is not defined. Thus, gx=...

Q: Find the length of the graph of the function y /3-/3 on the interval [1, 8]. %3D

A:

Q: 6. The mass of a cube in grams is M = x³ + 0.1x*, where x is the length of one side in centimeters. ...

A: Explained below

Q: Determine the area of the rectangle below:

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Q: 122 SSS(2x- (2x+3y+z)dxdydz

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Q: а 64 · x² · sin(4 · x) dx = 1 – 2, calculate the value of a.

A:

Q: Find the complex conjugate z of z1 = -1+5i. %3D

A: Given that z1=-1+5i find the complex conjugate   

Q: Part 2

A: To find the subinterval using the trapezoidal rule the area formula for the trapezoidal rule is  Tn=...

Q: Is there a way to help me remember the right triangle definitions of any of the trigonometric functi...

A: In trigonometry, it is common to use mnemonics to help remember trigonometric identities and the rel...

Q: Using integration, find the exact area of the surface formed by revolving y=5x+3 on the interval [0,...

A: To find The exact area of the surface formed by revolving y=5x+3 on [0,6] about the X-axis

Q: Write the sum as a product: cos(12.8s) – cos(7.88) =

A:

Q: What type of integrand is a good candidate for integration by parts?

A: If first function is reducible on differentiating. 

Q: *Please Do Not Write ON Paper*

A: Here, we have to find the rate of change of y=-2x2+1+54x-2 with respect to x  

Q: The radius of a circle is increasing at a constant rate of 0.2 meters per second. What is the rate o...

A: Given, radius of circle is increasing at a constant rate of 0.2 meters per second. ⇒drdt=0.2 m/sec  ...

Q: Consider the inetgral (11z + 2) dA where Ris the region between the circles z? + y? = 9 and z2 + y? ...

A: Since R is the region between the circles x2+y2=9 and x2+y2=100. Therefore, we describes the region ...

Q: Match each function with the graph of its derivative.

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining...

Q: Find the domain and range of the function. ∫(x) = 1/x2

A: A function f includes all x values in its domain where it has the finite value of f(x). In the given...

Q: Picture 2

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Q: Use the Product Rule to find f'(1) given that f(x) = 3x5 ex. f'(1)=| %3D

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Q: If g(x) = -9x3 + e5x + 1, then find, and simplify, g’(x) and  g”(x).

A: Explained below

Q: QUESTION 8 The inverse of 5 mod 10 O a 5 Ob 10 c. 2 d. The inverse does not exist

A: Answer is d.

Q: 2s +9 Find L 2 s² - 8s +19

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Q: Find the amount accumulated after investing a principal P for t years at an interest rate compounded...

A: We have to find the compound interest

Q: If g(x) = x' In(x), for x> 0, then determine g'(x

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Q: - Which of the following is not a possible f(x) = 4x - 2x + 10? 5 3 3, 5, 22

A: Given f(x)=4x5-2x3+10 Let x=3,  f(3)=435-233+10       =4(243)-2(27)+10=972-54+10=928≠0 3 is not a ze...

Q: According to postal regulations, a carton is classified as “oversized” if the sum of its height and ...

A: Assume a be the side length of the square base,h be the height of the carton and V be the volume of ...

Q: Solve "cos (6x)cos(3x) – sin(6x)sin(3x) [+]. 0.25" for the smallest positive solution, - X =

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Q: Calculus Question

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Q: Even and Odd Functions and Zeros ofFunctions In Exercises 75–78, determinewhether the function is ev...

A: Given :           f(x) = 2x6   To determine whether the given function is even, odd, or neither. Als...

Q: Calculate by using integration by substitution, 6 . • X dx x4 + 2 What was your substitution? u = Wh...

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Q: 1. A trough is 1m long and its cross section is a triangle which is 3m high and 2m wide across the t...

A: A trough is a tank used to keep water for animals. Here, the shape of the trough is like a prism, wh...

Q: Use logarithmic differentiation to find y'. y = (x2 + 2) (x4- 4)3 |

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Q: Find the equation of the tangent line to the curve ? = (2 + ?)?-xat the point (0,2).

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Q: Evaluate the integral. 3) S- dx x/ 16x2 - 7

A: As per the guideline we are solving only first question. Kindly repost the other question in the nex...

Q: tick the following

A: If a function f(x) is an odd function then the value of a definite integral is ∫-aaf(x)dx=0 The func...

Q: 下X If fext=e"sin Xy Find fC4)

A:

Q: 5. The radius of a sphere increases at the rate of 2 m/sec. Find the rate at which the volume of a s...

A: Given that radius of a sphere increases at the rate of 2m/sec drdt=2 m/sfind dVdt=? at r=14m

Q: Calculate the derivative of the following function. = (x + 8) (x² - 1))° dy dx

A: By using the following equations we can find the derivative of the given function.

Q: What is a separable first-order differential equation?

A: What is a separable first-order differential equation?

Q: Find the integral of the function 6x * ln(x^2). The answer should be in form (Ax^B)(ln(x^2)+F)+C. Fi...

A: Here we use integration by parts.

Q: Find a value of k that will make f a probability density function on the indicated interval. ƒ(x) = ...

A: To find: The value of k that make the function fx a probability density function: Given: The functio...

Q: Using the definition, find the derivative of fz) = 3 z^-6 z² at point z= 0

A: Given,          fz=3z4-6z2

Q: - 1 Find the derivative of the function f(y) = tan (3y* + 2) f'(y) =|

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Q: Find f'(x), f'"(x), and f3)(x) for the following function. f(x) = 2x + 5x? + 9x f'(x) =| f'"(x)= %3D...

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Q: 6. Write equations for the asymptotes for the graph of f(x) = sec 2x on the interval %3D 2 2

A: fx=sec2x ,   -π2, π2 Given function can be written as, fx=1cos2x     ∵secx=1cosx

Q: What is the shortest distance from the surface xy +12x +z^2 =144 to the origin?

A:  To find the shortest distance from surface xy +12x +z2 =144  to origin.

Q: -2- Write an equation for the tangent line at x = 3 of the curve : 1 f(x)= /2x+ 3

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: