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Q: Find the quotient z1/z2 of the complex numbers z1 = 2 + 2i and z2 = 1 + i. Leave answers in polar fo...

A: Given: z1=2+2i , z2=1+i To determine: z1z2. Also, to write answer in polar form.

Q: Using a Differential as an Approximation f(x, y) = x cos y, find f (2, 1) and f (2.1, 1.05) and calc...

A: the given function is z=f(x,y)=xcosy

Q: Nicole claims that each of the following pairs of functions are inverses. However, ONE of the pairs ...

A: Given: f(x)=2x+4 and f−1(y)=1/2y−2 f(x)=x+2/4 and f−1(y)=4y−2 f(x)=x/7+8 and f−1(y)=7(y−8) f(x)=5x...

Q: Differentiate. y = 7+ x

A: Given Expression : y=x7+x y=x7+x-1 Differentiate by using Product Rule ddx(fxgx)=f(x)ddxg(x)+g(x)ddx...

Q: The angle between the minute hand of a clock and the hour hand when the time is 7:20 AM will be- (a)...

A: Click to see the answer

Q: Suppose that 4 J of work is needed to stretch a spring from its natural length of 26 cm to a length ...

A: (a) Given data: *The work needed to stretch a spring from its natural length 26 cm to a length of 34...

Q: Simplify : (2/7)0-32-2/5

A: Click to see the answer

Q: d {x*3=} dx

A: Given, ddx{ x33-x }

Q: Find an equation of the tangent plane to the graph of f(x, y) = xy3 + x2at (2, -2, f (2, -2)).

A: fx, y=xy3+x2 Partially differentiating with respect to x, keeping y as constant, we get fxx, y=1·y3+...

Q: Power and energy The total energy in megawatt-hr (MWh) usedby a town is given by where t Ú 0 is meas...

A: We have given Et=400t+2400πsinπt12 (a)The rate of energy consumption or power, Pt=E't Now different...

Q: Which one is a formula for the unit normal vector ? ||r" (u)|| du r' (u) du dT ds T'(t) T'(t) O B(t)...

A:

Q: Write the equation of the line tangent to the graph of the function at the indicated point. Y=(x^2-...

A: To find the equation of the line tangent to the graph of the function y=x2-5x+55x0,y0=4,1

Q: A = 2a, + 4a, + 10a, and B = - 5a, За, %3D

A: Part (a) At point P(0,2,-5). ρ=x2+y2+z2=0+4+25=29 ϕ=tan-1yx=tan-1(∞)=π2 Transform the vector -5az+...

Q: Next semester you are planning to take three courses—math, English, andhumanities. Based on time blo...

A: Given : For the next semester, the three courses Math, English and humanities will be taken. There ...

Q: Find dy/dt if y=ln(t^2+1)/(squareroot of (4-t) dy/dt=

A: Click to see the answer

Q: Calculate , f(x) dx if the graph of f(x) is 41 2- 4 -2 -2 O 8-T O 8 + 47 O 8 + 27

A: Click to see the answer

Q: Sketch the region D between y = x2 and y = x(l - x ). Express D as a simple region and calculate the...

A: Given that, y=x2 and y=x1-x To sketch the region bounded by above two curves is,

Q: Find the arc length of the curve Nephroid perimeter: x = a(3 cos t − cos 3t) , y = a(3 sin t − sin...

A: Given: x=a(3cost−cos3t)y=a(3sint−sin3t)0≤x≤2

Q: 1- 2x Prove that lim = -1 using the e, d definition of a limit. 5

A: Click to see the answer

Q: Find k such that the line is tangent to the graph of the function.

A: f(x) = k−x²and the given line is y= −8x+5slope of the line = −8Now f'(x) = −2xtherefore, −2x = −8 ...

Q: 5. lim tan x cos y = 1 (x,y)→(,0)

A: To show : lim(x,y)→π4,0tan x cos y = 1

Q: Use vectors to determine whether the points are collinear. (0, −2, −5), (3, 4, 4), (2, 2, 1)

A: A(0, −2, −5), B(3, 4, 4) & C(2, 2, 1) be the given points. Now vector joining the points A and B...

Q: A jet airliner is flying at a constant altitude of 12,000 ft above sea level as it approaches a Paci...

A: The diagram of a jet airliner A traveling at a constant height toward a radar station R is shown bel...

Q: Errors in approximations Suppose f(x) = Vr is to be ap- proximated near x = 8. Find the linear appro...

A: Linear approximation of f(x) at x=a is, L(x)=f(a)+f'(a)(x-a) Given that f(x)=x3=x13

Q: determine an appropriate trial solutionfor the given differential equation. Do not solve for the con...

A: Given (D2 + 4D + 13)2 y = 5e−2x cos 3x.

Q: Explain;

A: limx→25x-6

Q: 2. Evaluate the limits. Note that using a table of values to evaluate the limit is not sufficient. (...

A: To evaluate the limit , we need to graph the given using graphing calculator Graph y=2x53-x13+7x85+...

Q: Which one is the formula for the arc-length function of a smooth curve r(t) for t>a. ||r" (u)|| du T...

A: Given smooth curve rt for t≥a

Q: This table shows some input-output pairs for a function f. Use this information to determine the ver...

A: Horizontal intercept occurs when the output value is zero and vertical intercept occurs when the inp...

Q: A body moves on a coordinate line such that it has a position s=f(t)=t2−8t+7 on the interval 0≤t≤7...

A: Given: A body moves on a coordinate line such that it has a position s=f(t)=t2 −8t+7 on the interva...

Q: Finding the derivative

A: The given function fx=2-2x.

Q: Find the limit. lim sin(5x) 6x

A: Given: limx→0sin5x6x

Q: A cir

A: It is given that the centre of the circle is -1, 5 and the radius of the circle is 6 units. Sice, th...

Q: Use the Binomial Theorem to expand the binomial (x2 + 2y)4 and express the result in simplified form...

A: the given expression is: x2+2y4