Write a system of inequalities whose solution set includes every point in the rectangular coordinate system.

Q: sketch the coordinate axes and then include thevectors u, v, and u * v as vectors starting at the or...

A: The given vectors are u=i+j+0k and v=i-j+0k.

Q: please help with question 1 and 3

A:

Q: Graph equation . Let x = -3, -2, -1, 0,1, 2, and 3.

A: Given that, y=-12x+2

Q: Draw the angle 8π/3 in standard position.

A:                                    Given the angle in terms of Radian measures          angle(θ)=8π3...

Q: Fill in the blank/s: A quantity that has both magnitude and direction is called a/an _______

A: Solution:- Here we have to fill the following blank..    A quantity that has both magnitude and di...

Q: Evaluate exponential expression. 4-3

A: Given expression 4-3 here Base=4 exponent=-3

Q: State the First Derivative Test.

A:

Q: If the demand equation is Q = 100 - 10P  find the consumer’s surplus when the consumer purchases 18 ...

A:

Q: Solve: √(x + 7) - 1 = x.

A: We have to solve the equation: x+7-1=x For any square root function we know that inside the square f...

Q: 2. The volume of a right circular cone is V =1/3nr²h, where r is the radius of the base and h is the...

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Q: Increasing and Decreasing Use a graph of f(x) = e - 3e* – 4x to find, approximately, the intervals o...

A: Graph of given function:

Q: sketch the region of integration, and write an equivalent double integral with the order of integrat...

A: Given ∫03∫1eyx+ydxdy

Q: Define Method of Variation of Parameters ?

A: To explain about method of variation of parameters.

Q: Evaluate the integrals in ∫dx/x

A: Given:               ∫1x dx Let: y=ln x

Q: Prove that..

A:

Q: Integration techniques Use the methods introduced evaluate the following integrals.

A: Given: ∫03249+4x2dx

Q: Factor completely, or state that the polynomial is prime: x2 - 2x + 4

A: x2-2x+4 Comparing with ax2+bx+c, we get a=1, b=-2 & c=4

Q: Integral

A:

Q: Determine whether the differential equation x3y′ + xy = ex + 1 is linear. Explain your reasoning

A: To determine whether the given differential equation x3y' +xy=ex+1 -(i) is linear.

Q: Verify identity (tan 2θ + cot 2θ)/csc 2θ= sec 2θ.

A: We have to verify the identity: tan 2θ+cot 2θcosec 2θ=sec 2θ We know the identity of trigonometric f...

Q: Evaluate the integral, if it exists.    ∫0π/4  (1 + tan t) 3 Sec2 t dt

A: Given information: The integral is ∫0π4+tant3sec2t dt  Calculation: Apply the u-substitution method....

Q: Differentiate. y =  In sec x

A:

Q: Use the figure to fill in the blank with the symbol <, >, or =. Explain your reasoning.

A:

Q: Determine the missing coordinates of the points on the graph of the function

A: Given: The graph is  The equation of the curve is y=arccos x. The points are 32,       , 12,       ...

Q: a) Solve equation 2cos20 – sin0 – 1 = 0 » among 0° So< 360° find the 6 value

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Q: Trigonometric integrals Evaluate the following integrals.

A: To evaluate I=∫0π21-cos2xdx

Q: If the expression va? – x? occurs in an integral, what sub- stitution might you try? What if Ja² + x...

A:   We have the following expressions a2-x2a2+x2x2-a2 We have to find the correct substitution  

Q: Given: x3 - 2x2 - 7x - 4 = 0. Solve, a. List all possible rational roots. b. Use synthetic division ...

A: Given x3-2x2-7x-4=0

Q: For matrix A below, make a change of variables that decouples the equation x' = Ax. Write the equati...

A: Given A=-53-1-1 To find P and D

Q: dollars dP =- 0.727 dt year

A: Given information: dPdtt=3=-0.727 dollarsyear

Q: In which quadrant do the following points lie? (a) (1,4) (b) (-3,2) (c) (4,-3) (d) (-4, -1)

A: Given:a 1,4b -3,2c 4,-3d-4,-1

Q: let u = 83, -29 and v = 8-2, 59. Find the(a) component form and (b) magnitude (length) of the vector...

A: Here given  u=83, -29v=8-2, 59=6, 59 Thus the component of the vector 35u+45v is 35u+45v=3583, -29+4...

Q: Explain how to use a sine curve to obtain a cosecant curve. Why can the same procedure be used to ob...

A: It is known that sine curve and the corresponding cosecant curve have same phase and same period. So...

Q: What is an even function?

A: we have to tell what is an even function.

Q: Find f(g(x)) and g( f(x)) and determine whether the pair of functions f and g are inverses of each o...

A: Given f(x)=3x+8 and g(x)=(x-8)/3. We need to find f(g(x)) and g(f(x)) and determine whether the pair...

Q: Suppose that i f(t) dt = x2 - 2x + 1. Find f(x).

A: Consider the following equation: ∫1xftdt=x2-2x+1 fx=ddxx2-2x+1=ddxx2-2ddxx+ddx1=2x-2+0=2x-2