3. (3 X 2) × 7 =_ %3D

Q: Write the trigonometric expression tan(sin-1 x + cos-1 y) as an algebraic expression (that is, witho...

A: sinθ=perpendicularPHypotenuseH, cosθ=BaseBHypotenuseH, sinθ=perpendicularPBaseB  

Q: Perform the indicated operations and write the result in standard form: (-14 + √-12) / 2.

A: Complex number:      -14+-122=-14+23i2=2(-7+3i)2=-7+3i

Q: The three circles are arranged so that they touch each other, as shown in the figure. Use the given ...

A: Given radius of circle with center A=5.0 radius of circle with center B=4.0 radius of circle with ce...

Q: For the equation, a. Write the value or values of the variable that make a denominator zero. These a...

A: Given equation is 3x+3=52x+6+1x-2.   Determine the value that will make the denominator of the term ...

Q: The first picture is the question and the second picture is the answer, I dont know the solution, ca...

A:

Q: (d) Convert from spherical coordinates to rectangular coordinate (12, –7/4,0)

A:

Q: Find the center C and the radius a for the spheres (x + 2)2 + y2 + (z - 2)2 = 8

A: We have to find the center C and radius for the given sphere equation: x-22+y2+z-22=8 We know that i...

Q: An open-top box with a square base is to have a volume of 4 cubic feet. Find the dimensions of the b...

A: Given that  an open box with square base is to have a volume of 4 cubic feet. We need to find the di...

Q: Polar coordinates of a point are given (6, 180°). Find the rectangular coordinates of each point.

A: Given polar coordinates of a point is (6, 180°)

Q: Perform the operations and write the result in standard form: [-20 + √(-32)]/ 10

A: Given:-20+-3210

Q: (4) Evaluate c F. dr where C is given by the vector function r(t) F(x.y, z)=(x+y')į+ xz j+ (y+z)k r(...

A: We know that r = xi + yj + zk  

Q: Identify a strategy Suggest a technique of integration for each of the fol- lowing integrals based o...

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: 2x + 6x - 1 10) Find the polynomial end-behavior asymptote in the graph of f(x) = X+2

A:

Q: The region bounded by the curve y = x2 + 1 and the line y = −x + 3 is revolved about the x-axis to g...

A:

Q: compute the line integral fc f (x, y) ds for th,e given function and path or curve. (a) f (x, y) = x...

A: To compute the line integral  ∫Cfx,y ds where, fx,y=xy and the path of curve is rt= t,  2t-1        ...

Q: Let f(x) = tan x. (a) Find the linearization of f(x) at x = (π)/(4).                                ...

A: Given that the function: fx=tanx                                                                    ...

Q: Find the area of the region enclosed by f(x) and the x-axis for the given function over the specifie...

A: We first sketch the region using a graphing calculator.    

Q: VECTOR ANALYSIS Express V = x2 - 2y2 - z2 in spherical coordinates.

A:

Q: Find the critical points and the intervals on which the function f(x) = x* – 9x2, (x > 0) is increas...

A: Given: The function is  fx=x4-9x32, x> 0   To determine: The critical points and the intervals on...

Q: Find the quadratic function y = ax2 + bx + c whose graph passes through the points (1, 4), (2, 1), a...

A: The quadratic function y=ax2+bx+c passes through the points 1, 4, 2, 1 & 3, 4. Put 1, 4 in y=ax2...

Q: Determine two coterminal angles in degree measure (one positive and one negative) for each angle.

A: Concept: The calculus helps in understanding the changes between values that are related by a functi...

Q: Find the derivative of the trigonometric function. f(x) = −x + tan x

A: Given: f(x) = −x + tan x

Q: Find

A: Size of a set is the number of elements contained in the set. 

Q: The number of newspaper copies produced from 1995 to 2002 is given by C = 50t2 − 200t + 10,000Where ...

A: The given equation is C=50t2-200t+10,000 Differentiate with respect to t, we get dCdt=100t-200 Again...

Q: question

A:

Q: Thank you!

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer first question at a ...

Q: Use the properties of logarithms to expand the expression as a sum, difference, and/or constant mult...

A:

Q: What is the greatest value of f(x) = 2x3 - 9x2 + 12x   in the interval 0 ≤ x ≤ 3?

A:

Q: Convert the polar equation r2 sin 2θ = 4 to a rectangular equation. Then use a rectangular coordinat...

A: we have to convert the polar equation r2sin2θ=4 to a rectangular equation. then we have to use the r...

Q: i need help with this one please

A: accorrding to question let OA=athen OB=3atherefore co-ordinates of A and B are  (a,0) and (0,3a) res...

Q: Given that f(x) = 4x+5 and g(x)=x - 4x-5, find (g o f)(5). (g o f)(5) = (Simplify your answer.)

A:

Q: Curve of intersection Find a function r(t) that describes the curve where the following surfaces int...

A:  Find a function r(t) that describes the curve where the following surfaces intersect. 

Q: a. Using u = cot (6x), 12csc 2(6x)cot (6x)dx = cot (6x) + C b. Using u= csc (6x), 12csc2(6x)cot (6x)...

A:

Q: Need help with the follwoing question

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: For the equation, a. Write the value or values of the variable that make a denominator zero. These a...

A: a. Given equation is 1x-3-2x+1=8x2-2x-3. Here the denominators are x-3,x+1,x2-2x-3. x-3=0x=3x+1=0x=-...

Q: Explain the difference between average velocity and instantaneous velocity.

A: Given: Average velocity and Instantaneous velocity. To find: Difference between both velocity.  

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.