Simplify the expression completely: - 3 3 4

Q: dy Find for the given implicit functions: dx а) у? - ху%3D2 b) 2.x sin (xy)– x = 0 c) (xe')" + y = 3

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Q: Improper integrals Evaluate the following integrals or state that they diverge.

A: Consider the provided improper integral, ∫-22 dp4-p2 Evaluate the following integrals. Apply the sub...

Q: Evaluate the integral

A: Given: ∫00.6x29-25x2dx

Q: Parallel and perpendicular vectors Let u = 5i - j + k, v = j - 5k, w = -15i + 3j - 3k. Which vectors...

A: Given:  u = 5i - j + k, v = j - 5k, w = -15i + 3j - 3k

Q: Determine the points of discontinuity. State the type of discontinuity ( removable, jump, infinite, ...

A: Given:  The function, g(t) = 1t2-1

Q: Simplify (assume that variables represent non negative real numbers) √10x . √8x

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Q: verify that the given function is in the kernel of L. Q. y(x)=xex, L =−D2+2D−1.

A: given that  y(x)=xex

Q: If 2 - x s g(x) s 2 cos x for all x, find lim,0 8(x).

A: Given,               2-x2≤g(x)≤2 cos(x), for all x And we have to find,      limx→0g(x)  

Q: 1 We know that Sn has interval of convergence (-1, 1). 1 - r n = 0 This means the series converges f...

A: Given  The series f(x)=18+x=∑n=0∞-1nxn8n+1  and  f(x) will converge when -x8<1

Q: 3. Given the following differential equation, solve for y(t) if all initial conditions are zero. Use...

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Q: Find the critical numbers of the function.                                                        h(...

A: We have given,           h(x) = sin2(x)+cos(x),   0≤x≤2

Q: Find the absolute extrema of the function on the closed interval.                      g(x) = 3√x,  ...

A: g(x) is continuous on the given interval.  So, the absolute extreme exist and must occur either at a...

Q: Please help with holes asymptotes. I don’t understand

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Q: Find all the local maxima, local minima, and saddle points of the functions in Exercises 11-20.

A: (10)Consider the provided function, fx,y=x2+2xy Find all the local maxima, local minima, and saddle ...

Q: Solve the system 4ax + by = 3, 6ax + 5by = 8 for x and y, expressing either value in terms of a or b...

A: Since our aim is to solve the system 4ax+by=3 and 6ax+5by=8 for x and y in terms of a or b where we ...

Q: Use the given graph of y = f(x) to solve graph g(x) = f(x - 1) + 1.

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Q: A drug is injected into a patient, and the concentration of the drug in the bloodstream ismonitored....

A: Given,  C(t) =5t/(t2+1)    Graph of the above function is :

Q: Find the limits

A: Given,                     lim(x,y)→(0,ln2)ex-y     And we have to find its limit.

Q: Decide if the following claims are true or false, and give shortjustifications for each conclusion. ...

A: Given statement is if limx→afx=L and a is in the domain of fx, then L=fa. We know that limit of a fu...

Q: In the exercise 2x2 - 4xy + 5y2 - 36 = 0, Solve, If the graph of the equation is an ellipse, find th...

A: Given The equation of conics  is 2x2 - 4xy + 5y2 - 36 = 0 .

Q: Use logarithmic differentiation to evaluate ƒ′1x2.  ƒ1x2=11 + x22sin x

A: Given: fx=11+x22sinx

Q: Identify the equation x2 - 4y2 - 6x + 24y - 11 = 0 without completing the square.

A: Let ax2+by2+cx+dy+e=0 be the standard form of some conic equation. It will be a circle if a=b it wil...

Q: Fill in the blank/s : Using the definitions of six trigonometric functions, the trigonometric functi...

A: Given the fill in the blanks about the 6 trigonometric functions. We need to use the definitions of ...

Q: Find a vector of magnitude 3 in the direction opposite to the direction of v = (1/2)i - (1/2)j - (1/...

A: v=12i-12j-12k Now, v=122+-122+-122=34=32 Now the unit vector in the direction opposite to vector v i...

Q: Nomal test Libre Frank 1 Ms. Burgos went to the store with $70. She bought three notebooks for $5 ea...

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Q: QUICK CHECK 3 What is the form of the limit lim (x – 7/2)(tan x)? Write XT/2 it in the form 0/0. <

A: Given that: To write the given equation in the form of 0/0

Q: Determine whether the statement " The graph of the parametric equations      x = t2 and y = t2 is th...

A: Given: The graph of the parametric equations      x = t2 and y = t2 is the line y = x

Q: Make a complete graph of the following function. g(x) = x2 ln x

A: Make a complete graph of the following function. g(x) = x2 ln x

Q: Use the given triangles to evaluate the expression tan 30°. If necessary, express the value without ...

A: We take θ=30° The front side of the angle θ is perpendicular So, Perpendicular P = 1 The front side ...

Q: Coupate, urig Usring rendues epute, de

A: Consider the following: ∫02πsinx-cosx2+cosxdxConsider the indefinite integral:∫sinx-cosx2+cosx=∫sinx...

Q: The Oval Office in the White House is in the shape of an ellipse. The office is 12 feet wide and 20 ...

A: oval office is in ellipse shape  width of ellipse = 12 ft legth = 20 ft

Q: find any intercepts and test for symmetry and sketch the graph of the equation y= 4x+2 y=√(1-x)

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

Q: what is 2+2  what 4x5 what

A: 2+2 is 4   This is a simple addition. 

Q: Given the function f(x) - 4 + 3x2, calculate | the following values: f(a) f(a + h) f(a + h) – f(a) h

A: Since, we have been given that f(x)=3x2-4 -(1)Our Aim is to calculate :-(i) f(a)(ii) f(a+h)(iii) f(a...

Q: Determine the amplitude of the function y = -2 cos x.Then graph the function and y = cos x in the sa...

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Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus. 

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.