Find all solutions of the equation sin²x = 2 sin x + 3. The answer is A + Bk where k is any integer and 0 < A < 2π, A B

Q: Answer: Question 21 Marc paid $1238.46 for some supplies, including the tax. If the tax was 14%,…

A: We need to find original price.

Q: Given the following limit, select all statements that must be true. lim h→0 f(−8+ h) − f(−8) h…

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Q: Find y as a function of x if y" + 16y' = 0, y(0) = 0, y'(0) = 4, y'(0) = -32. y(x) =

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Q: For Exercises 109–111, (a) evaluate the discriminant and (b) determine the number and type of…

A: The discriminant of a quadratic equation is used to find the number and nature of the roots. It is…

Q: dz Given x³y² + 2x¹z³ + 3yz² = 0, Find əx a. b. C. d. -3x²y²-8x³z²³ 6x4z²-6yz 3x²y²-8x³z3 -6x4z²+6yz…

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Q: Determine the area between the curves x= y^2 + 1,x= 5,y= −3,y= 3.

A: Find shaded area

Q: Determine the area between the curves y= sin(x),y= x2 + 4,x= −1,and x= 2.

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Q: Frank Cronin must make a balloon pay- ment of $20,000 in 4 years. Find the present value of the…

A: Given data, Principal Amount P=20000 Time t=4 years Interest is compounded monthly so n=12

Q: Triangle XYZ in 3d has vertices X=(0,1,2), Y=(3,-2,1), and Z=(2,-1,0) normal vector to the plane…

A: Triangle XYZ in 3d has vertices X=(0,1,2), Y=(3,-2,1), and Z=(2,-1,0) normal vector to the plane…

Q: Solve 2 sin² (x) + 3 sin(x) + 1 = 0 for all solutions 0 < x < 2π x = Give your answers as a list…

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Q: Find the DE of the family of circles tangent to the coordinate axes.

A: Find DE for the family of circles tangent to coordinate axis

Q: Suppose f(x) is continuous at x = -8,f(-8)= 1, and there is a sharp corner (or cusp) in the graph of…

A: We need to choose correct option.

Q: 5. Find and label the intercepts of 4x - 5y = 15 and then graph.

A: Topic:- geometry

Q: Please show and explain all work! Thank you

A: Topic:- geometry and application of derivatives

Q: Find an equation of the plane containing the line (x − 3) = −(y + 5) = −(z+2) and the point (5, 0,…

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Q: (a) The curve with equation y2 = x³ + 3x² is called the Tschirnhausen cubic. Find an equation of the…

A: We have to find the tangent equation and graph the function.

Q: Suppose Zab, Zbc, and Zed form a linear triple. Show that their measures add up to 180.

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Q: Complete the following steps for the given functions. a. Use polynomial long division to find the…

A: Concept Used: Slant asymptote: Slant asymptote are formed when x is close to but is a slanted line,…

Q: Set g(x)= Question 1 g'(0) = = y = arctan(x)f(x). Suppose f(0) = 5 and lim h→0 f(0 + h) - f(0) h = 3…

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Q: Find an explicit solution dy_²₁ y(1)=2 dx X

A: The differential equation is given by dydx = y2x Initial Condition: y1 = 2 To evaluate: The explicit…

Q: 4 34 feet long ladder ladder is leaning is leaning against a vertical wall at a rate of 8 feet per…

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Q: Calculate zu for: z = 3x² - 2xy + y², x = 3u + 2v, y = 4u − v.

A: To calculate zu for: z=3x2-2xy+y2, x=3u+2v, y=4u-v

Q: Given f(x) = -6x²-30x - 24 x+4 -, which of the following statements are true? Select the correct…

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Q: In Calculus you will see the symbol y'. For Exercises 1-4, treat y' as a variable and solve the…

A: Since we only answer up to 3 sub-parts, we'll answer the first 3. Please resubmit the question and…

Q: Consider a closed rectangular box with a square base with side x and height y. a. Find an equation…

A: As we know that; The expression for the area of the square is: A=a2 Where a is the side length of…

Q: 5 Is y(x) = 1 a solution of y" + 2y + y = x?

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Q: Find an equation of the plane passing through the three points given P = (9,3,6), Q = (10, 8, 13), R…

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Q: A company must pay a $307,000 settlement in 3 years.(a) What amount must be deposited now at 6%…

A: Concept used: Compound interest formula A=P1+rnnt A= final amountP= initial principal balancer=…

Q: Given the table for f(x) and g(x) below, find the following: f(x) 7 6 0 4 8 x 0 1 2 355 4 6 7 8 9 9…

A: Given query is to find the average rate of change for the Indicated interval.

Q: 3. Without graphing, Find the vertex and y-intercept of the quadratic function: f(x) = -4x²8x-4

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Q: 1 The volume of a right circular cone of radius x and height y is given by V = 3 volume of the cone…

A: See this solution in below.

Q: QUESTION 7 For all sets A and B, (AXB)n(B×A) = Ø. O O False True

A: Given SET A and B

Q: Radioactive Decay:  Carbon-14 has a decay rate of 0.012097% per year. The rate of change of an…

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Q: ped 9) Given f(x,y)=x² + y² use Algebra to find a) lim f(x+Ax,y)-f(x,y) Ar-0 Ar b) lim Ay0…

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Q: 4 Determine whether y(x) = 2e + xe is a solution of y" + 2y + y = 0. 5 Is y(x) = 1 a solution of y"…

A: The given differential equation is; y'-5y=0

Q: df. ƒ "''(x) = cos(x), f(0) = 8, f'(0) = 7, ƒ "(0) = 8

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Q: Define R as the region bounded by the graphs of f(x) = x² + 2x + 2, x = -2, x = 0, and the x-axis.…

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Q: An open wooden box is to be made of lumber that is 1/3 inches thick, the inside length is to be 7 ft…

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Q: Solve the following initial-value problem: y' + (tan x)y=cos²x; y(0) = -1 O O y = (cos x) (sin .x -…

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Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

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Q: Given xy + cos(xy) – 5x = 6, answer the following: - Write the equation of the normal line to the…

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Q: 3. Show that y(x) differential equation C₁e²c₂e-3, where c₁ and ₂ are constants, is a solution of…

A: #Q3

Q: Use the slopes of tangents to determine whether the function f(x) -6x² + 36x is increasing,…

A: This question can be solved using the concepts of application of derivatives.

Q: Simplify completely. Assume all variables represent positive values. (6-2/3)2/5 a) Write the…

A: see below the answer and explanation

Q: Use the properties of the derivative to find the following. 5,³k r(t) = 9ti (t1)j, u(t)= ti + t²j+ 3…

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Q: 1. Complete the table. Interval Set-Builder Graph Notation Notation а. -3 7 b. (2.1, 0) {x|4 >x} с.

A: Part (a) Given graph is

Q: (8.6 x 10-)(4.1 × 10*) 18. Simplify. 2.0 × 10-6

A: Given data:- (8.6×10-3)(4.1×108)(2.0×10-6)

Q: PROBLEM: Write the general solution of the differential equation defined by…

A: We will find the required  general  solution  of given differential equation.

Q: Write a function of the form f(x) = csc (Bx-C) for the given graph. 3 M P 1 PT N 7 4 f(x)= 311 I 51…

A: Topic- Graph of a trigonometric functions. we are given graph of a function and we have to write it…

Q: Use the General Power Rule to find the derivative of the function. g(x) = (7 − 6x)4

A: Given query is to find the derivative of the function.