a) Convert 160 degrees to radians: π b) Convert to degrees: 18 radians

Q: Match the equations of the surface with the graphs below. A D 1.9x² + 4y² + z2² = 1 2. x² - y² + z²…

A: The equations of the surfaces, 1. 9x2+4y2+z2=12. x2-y2+z2=13. -x2+y2-z2=14. x2+4y2+9z2=1

Q: Find the expression for the function whose graph is the given curve.

A: Topic:- application of functions

Q: 1. Four bugs are placed at the four corners of a unit square. The bugs crawl counterclockwise at the…

A: Concept: The cartesian coordinates for these two bugs are given by (rcosθ,rsinθ) ; (-rsinθ,rcosθ)…

Q: 4. A culture initially has No number of bacteria. After one hour the number of bacteria is measured…

A: We have to determine the time necessary for the number of bacteria to triple.

Q: A spring, whose equilibrium length is 3 ft, extends to a length of 6 ft when a force of 13 lb is…

A: Given data÷ Equilibrium length = L0=3ft Extended length  = L1=6ft Force = F=13lb Work = w=8ft.lb

Q: Explain: e is really the limit of a sequence, and the value usually stated, 2.71828… is a numerical…

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Q: (a) Find a unit vector from the point P = (3, 2) and toward the point Q = (15,7). ū = (b) Find a…

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Q: If ƒ(2)=4, ƒ(5)=8,g=3 and g(3)=2 determine ƒ(3) .

A: The given function values f2=4, f5=8, g1=3 and g3=2 we need to find the value of fg3

Q: A function f has domain [−5, 5] and a portion of its graph is shown. (a) Complete the graph of f if…

A: A function f(x) is called even if f(-x)=f(x) and called odd if f(-x)=-f(x).

Q: An unknown radioactive element decays into non- radioactive substances. In 240 days the…

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Q: Find the derivative of the function. f(x) = 4 3 VX + 2cos x

A: To find the derivative of given function

Q: Find the length of the vectors (a) i +3j+ k: length = (b) i — 2.6 j + 2.6 k. length = -

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Q: Compute the line integral of the scalar function ƒ(x, y, z) = 2x² + 8z over the curve c(t) = (e¹,…

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Q: Determine the exact value of sin 17л (172) using the compound angle formula. No calculators to be…

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Q: Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

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Q: Q1: Solve the following ODE a) y" + 2y' - 6y = 0 b) y'"- 6y" +12y' - 8y = 0 c) y"+y'- 2y = x².

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: b) - 1212 c) 3 V -2 10 d) -3 -11 -10 Using the graph given, determine the average rate of change of…

A: The average rate of change between the interval a≤x≤b is given by: Average rate of…

Q: Duffer McGee stood on a hill and used a nine iron to hit a golf ball that reached a maximum height…

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Q: Use the graph of f(x) = below to find a number & such that f(z)-0.5 = Number 1 0.7 0.5 0.3 O 2 X

A: Given graph :-

Q: Q.3 If f(x)=- √x-2 (x²-x+1) (a) The intervals on which f is increasing, (b) The intervals on which f…

A: Given. Note: Hi! Thank you for the question, as per the honor code, we are allowed to answer three…

Q: Which of the ff is equivalent to the double integral: a. f¹ ln(2x) − In(x + 3) dx b. ln(x + y) -…

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Q: Find the intercepts and asymptotes. (If an answer does not exist, enter DNE.) 8x8 r(x) = x + 2…

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Q: Suppose someone is traveling from New York City to Miami, Florida. The following table describes the…

A: A.

Q: Determine whether the geometric series is convergent or divergent. n=1 convergent O divergent If it…

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Q: Explain how the following limit works and what it is used for. f(x +h)-f(x) lim hs0

A: Topic:- derivatives

Q: Find the limit of the function (2x ^ 2 - 4x)/(x + 1) as x increases without bound

A: find limit as 'x' increases without boundlimx→∞ 2x2-4xx+1

Q: Which of the following functions are even? i) f(x)=-x* ii) ƒ(x) = ²/12 x -()* iv) f(x) = log₂x v)…

A: Here we have to choose the correct option.

Q: Based on the data shown below, a statistician calculates a linear model y - 0.56x + 24.29. - X y…

A: We need to estimate y.

Q: 1. Using the Vertical line test, identify if the graph is a function.

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Q: Determine the average rate of change for the function f(x): = -1≤x≤1. a) b) c) d) - 4 3 18 3/2 x x-3…

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Q: 4. A culture initially has No number of bacteria. After one hour the number of bacteria is measured…

A: Topic = Differential equation

Q: Question 3 Find: a. b. C f(10x¹-12x³ +9x² -8x+1)dx 8x4 +9x³-7x X dx [(2x² - 4x +5X3x + 2)dx

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Q: Evaluate the definite integrals using the graph of f(x) below. (a) (b) (c) [³ f (x) dx = 5 [³ f (x)…

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Q: Use the graph of f to estimate the (a) local extrema and (b) absolute extrema. (a) Estimate any…

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Q: f(x) = 2x² + 3x

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Q: Calculate x(t) when k(t) = [t^2t]/[3sqrt(1+t^4)^3/2] r(t) = (6t¹, 1, 6t)

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Q: √√3-1,√3+1,√3 The angle between the vectors √3- +1, √3 and [2, 2, 2] is:

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Q: Homework: de 1-cos 0 1. S-

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

Q: The manager of a car rental agency knows from experience that all 300 cars will be rented if the fee…

A: Given problem:- The manager of a car rental agency knows from experience that all 300 cars will be…

Q: D 5 yo

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Q: An archeologist discovers a tool made of wood. The half- life of carbon-14 is approximately 5780…

A: Multiple sub-parts question-"As per our guidelines we are suppose to answer only first 3…

Q: 6. Determine the number of roots, counting multiplicities, of the equation in the annulus 1 ≤|z|< 2.…

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Q: Solve. 63x-736-1 O a) 5 0 b) 2 0c) 9 d) 3

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Q: Q1. Q2. Solve the initial value problem of first order linear differential equation: X +y=e*; y(1) =…

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Q: Explain how you would convert the vector a = 5 km with a bearing of 135° in Cartesian form.

A: Given a→=5 km and bearing of vector θ=135°

Q: A particle moves according to the position function s (t) = est sin (4t). Enclose arguments of…

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Q: x²-4 x < 2 x-2' ax² - bx + 3,2 ≤ x < 3 a+b, x ≥ 3 2x Explain your reasoning using the three…

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Q: Verify the identity. cot tcsc t= 2 csct-1 cos t Which of the following three statements establishes…

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Q: 1. Karen is a hobby farmer from near Toowoomba in Southern Queens- land. She sells the lettuce she…

A: Topic- Functions and application of derivatives

Q: For what values of b are the vectors (–88, 6, 7) and (b, b², b) orthogonal? Answer (separate with…

A: