For Exercises 99–103, perform the indicated operations. 1 + =i 6. 99. + -i 100. (4 – 7i)(5 + i) 3 5 101. (4 – 6i)? 102. (8 – 3i)(8 + 3i) 4 + 3i 103. 3 - i

Q: x² + 1 f(x) = {3 - x √√x /x if x ≤ 1 if 1 4

A:

Q: If ƒ and g are real-valued functions, how are the domains ofƒ + g, ƒ - g, ƒg, and ƒ/g related to the…

A: Let f and g be functions with domains A and B. To find the domains of the following: f+g, f-g, fg,…

Q: 1) Solve the following inequality: a) using sign diagrams, b) Graphically. Show all diagrams and…

A: The Solution is given below

Q: Find the x-coordinates of all local minima given the following function. f(x) = x + 3x5 +2 If there…

A:

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

A: Given query is to find the value of the integral.

Q: Find the average rate of change of f(x)=x^2−4x+2 on the interval [1,t]. Your answer will be an…

A: To find the average rate of change of given function.

Q: f(x)=ln(7x^2−1) then f′(8)=

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: a. Use implicit differentiation to find the derivative b. Find the slope of the curve at the given…

A: Topic-Implicit differentiation We are given, 2xy+5y=13And we know thatddxu·v=uv'+vu'ddxxn=nxn-1

Q: A-(52-5y3) x (2x² - zx) =

A:

Q: Identify the Vertex and Axis of Symmetry of a Quadratic Function

A: Standard form of a quadratic function is=ax2+bx+c where a,b,c are real numbers.Vertex of the…

Q: 129. The months of June, July, August, and September are the wettest months in Miami, Florida,…

A: Formula :- Average = sum of all observationnumber of observation

Q: Compute the derivative of f(x)=√x + 8 using the definition of derivative.

A: NOTE: Refresh your page if you can't see any equations. . substitute x+h for x

Q: ← Graph the feasible region for the system of inequalities. Tell whether the region is bounded or…

A:

Q: (a) graph each quadratic function by determining whether its graph opens up or down and by finding…

A: Concept Used: Basic properties of the function Vertex: Use the vertex form, y=a(x-h)2+k, to…

Q: f(x)=(lnx)^2 f′(x)= f′(e^2)=

A: Topic- Derivative of a function We are given, f(x)=(ln x)2 We know that ddx(ln x)=1xddxxn=nxn-1

Q: Given that y(t) = c₁e6t + c₂e-ot is the general solution of the differential equation y" - 36y=0,…

A: given general solutiony(t)=c1e6t+c2e-6t

Q: Solve the following differential equations. dy/dx + 3y  = 3x2 e-3x

A:

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it…

A: Given, ∫-∞∞x-42-1dx

Q: a. Find the inverse of ƒ(x) = -x + 1. Graph the liney = -x + 1 together with the line y = x. At what…

A: Concept used: Inverse function An inverse function that reverses into another function is called an…

Q: 22. Find lim h-0 f(x+h)-f(x) h f(x) = 5x-4, x=6 The lim f(x+h)-f(x) h for the given function and…

A:

Q: Evaluate the integral: 0x = 10 tan (0) 10 sec (0) 100 sec (0) (A) Which trig substitution is correct…

A: As per our guidelines we can answer only 3 subparts of the given question. So kindly repost the…

Q: The yearly demand function for Penn State Bakery cookie trays is given by x² + 4p² + 3x + 12p = 202…

A:

Q: Compute the first-order partial derivatives of the function. w = In (x7 — y4) (Use symbolic notation…

A:

Q: Assume that x and y are both differentiable functions of t. Find the required values of and dy dt…

A:

Q: U Question 10 Find the volume of the tetrahedron with vertices A = (4,4,4), B = (7,6,5), C = (7, 6,…

A: Solve by formula

Q: EMPTY or Ø.) increasing decreasing f(x) = () = ²3 x ³ x³ + 6x² 32x - 7 and the ter vai, cinter

A: Given query is to find the interval where function is increasing and decreasing.

Q: find the distance d between the points P1 and P2.P1 = (3, - 4); P2 = (5, 4)

A: Given data:- The formula used:- P1 = (3, - 4); P2 = (5, 4) Length of the line segment joining points…

Q: 47xy Compute the second-order partial derivative of the function g(x, y) = (Express numbers in exact…

A: The given function is g(x,y)=47xyx-y ..................................... (1)  We have to find the…

Q: 1. 3. Station Eight: Writing Equations from Graphs WRITE THE EQUATION FROM THE GRAPH. 2n -TT an 2.…

A: The equation of graph is given below

Q: Determine whether lim f(x) exists. X-3 lim f(x) = 1 and lim f(x) = 1 X-3- X→3+ nguageDisc....pdf lim…

A: Given query is to find the correct option for the limit.

Q: 1. y = x³ (sin(lnx) - cos(lnx)) 2. y = ln 1+sinx 1–sinx (use properties of logarithms)

A:

Q: If f(x): f'(x) = = f"(x) = = f"(x) = √6x + 5, compute the first, second, and third derivative of…

A:

Q: Let Q, R be the points where the ray of angle intersects circles centered at the origin as shown in…

A:

Q: y = p02-0

A:

Q: Use the given function to complete parts a) through e) below. f(x) = -x²+x² ... a) Use the Leading…

A:

Q: Find the derivative of y=6√s^4+7 (Whole equation under the square root besides the first 6)…

A:

Q: Solve the following differential equations. Question 5 ( cos2x - y cos x ) dx - ( 1 + sin x ) dy = 0…

A:

Q: You have 13 sweet candies that taste the same and 7 sour candies that taste the same, but all 20…

A:

Q: Find all errors in the following calculation (log(x + 2))2 = 2 log(x + 2) = 2(log x + log 2) = 2(log…

A: Given data, logx+22

Q: A construction worker pulls a five-meter plank up the side of a building under construction by means…

A:

Q: Now, the given DE is of the form Mdx + Ndy = 0. M = 4x³+1 and 2N = 4x³ +1. ду ax So, 2M = ON,…

A:

Q: Problem 6. Construct the quadratic whose roots are 3+, 3-.

A:

Q: Find the area, in square units, bounded above by f(x) = 4x² + 9x - 24 and below by g(x) = 5x² + 21x…

A:

Q: Determine the following limits.

A: Given data:- The given expression is, limθ→0+cscθ

Q: Find all the second partial derivatives z=cos2(5x+2y)

A:

Q: Someone invests a constant stream of $450 per year at a continuously compounding interest rate of…

A: I am attaching image so that you understand each and every step.

Q: Use linear approximation to approximate √36.3 as follows. Let f(x)=√x. The equation of the tangent…

A:

Q: Find the indicated derivative. f'(8) = If f(x) = 3 6x2 48 3 find f'(8). VX

A: Given query is to find the derivative.

Q: 0 500 soft ( + ( ① so) & cu!ss) d + ) (cose) dr

A:

Q: Question 3 Find an equation of the tangent line to f(x)=2x²-3x+5 at x=-3 Oy+32 -15(x+3)…

A: