Find the inverse of f(x) = 3 √5x² +2 What is its domain?

Q: Strontium-90 is a radioactive material that decays according to the function A(t) = A e scientist…

A: This question can be solved using the concept of exponential growth and decay.

Q: An airplane leaves City A and flies 144 km due north to City B. It then turns through an angle of…

A: The solution is given in the next step.

Q: The half-life of radium is 1690 years. If 80 grams are present now, how much will be present in 360…

A: Given query is to find the amount remaining after 360 years.

Q: The population of a city is 75,000. If the population is declining continuously by 3.7% per year, in…

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Q: (-0.7, 0) -0.5 (2-1) 2 ده - د.0 - گا - 2t (0.7,0.2) (1.5.2) ۱۰

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Q: Given the graph of the function f(x), answer the following question. -30 B C F -20 -10 A D E 4 -10…

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Q: 9) Evaluate the following indefinite integrals a. [(5x¹ + x² + x) dx b. 9x²(x³ +5)*dx c. S7 C. dx…

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Q: The revenue from a manufacturing process (in millions of dollars per year) is projected to follow…

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Q: The supply function for a product is given by p = 50+ 100√2x + 5, where x is the number of units…

A: The supply function for a product is given by p=50+1002x+5, where x is the number of units supplied…

Q: (x) is an even function, and if f 6 f(x) dx = 15, find f³, f(x) dx.

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

Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

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Q: The position of an object attached to a spring is given by s (t) = cos(4t) — —sin(4t), - where t is…

A: The position of an object,st=14cos4t-16sin4t on the interval 0<t<3

Q: Find the exact area under the graph of f(x) = = and x = 2. Area = 1 x+1 between r=0

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Q: Question 10 of 10, Step 1 of 1 dy Find dx Answer for the equation below. dx 11 8/12 Correct 4x4 +…

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Q: Find the area of the region that lies inside the first curve and outside the second curve. r = 3 cos…

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Q: Consider the plane curve given by the parametric equations x = t² + 3t - 26 y = t² + 3t - 28 - What…

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Q: The logistic growth function f(t)= 116,000 1+5500 e describes the number of people, f(t), who have…

A: f(t)=116,0001+5500 e-tA)when epidemic begin;t=0f(0)=116,0001+5500=21.087The number of people…

Q: QUESTION 2 Find an equation of the tangent to the curve at the point corresponding to the given…

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Q: 1 Estimate the area under the graph of f(z) : = over the interval [2, 5] using ten approximating x²…

A: The given function fx=1x2+1 over the interval 2,5

Q: 6. Evaluate the following integrals. 1/4 (2) [¹ sec³ πt dt

A: 6. ∫014sec3πt dt Note:    Multiple questions are given, we are answer with only one question.

Q: Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the…

A: Given problem:- Use the method of cylindrical shells to find the volume V of the solid obtained by…

Q: Suppose that the daily profit (in dollars) from the production and sale of x units of a product is…

A: Given that the daily profit (in dollars) from the production and sales of x units of a product is…

Q: A farmer uses x lb of fertilizer per acre at a cost of $0.20 per pound, leading to a revenue of R =…

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Q: * (2 √x (2+x) dx

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Q: 2 30 مر ول 2 + 6 +

A: In this question we have to solve the Integration.

Q: Estimate the integral 2de using a left-hand sum and a right-hand sum with n = 3 subdivisions.…

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Q: Find the equation for the tangent and normal lines for f(x) at the specified points. Show your…

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Q: Evaluate the function at the indicated value of x =1. f(x)=loggx 8 -8 - 1011 8 0

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Q: [in (w)² ]] 4 W dw

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Q: A function is said to have a horizontal asymptote if either the limit at infinity exists of the…

A: limx→∞ x2+8x3-11x=limx→∞ 1xx2+8x1x(3-11x)=limx→∞ x2+8xx23x-11

Q: Solve the differential equation y' = 6x³y² subject to the condition that y = .1 when x = 1. y(x) = =…

A: We have to find the solution

Q: Decide if the limit exists. If it exists, find it. x²-25 a. lim b. lim X-5 x+5 x²-36 x-5 x-5

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Q: Find the exact area under the graph of f(x)=1 between r=0 and r = 2. Area =

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Q: 8. Using any work found in Question 7, det 2 3x (x²-5)³ dx

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

Q: The radius of a circle is increasing at a rate of 2 ft/min. At what rate is its area changing when…

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Q: Evaluate the integral using integration by parts where possible. (Use C for the constant of…

A: Given

Q: Write the equation of a sine or cosine function to describe the graph. 'y 0 2π 2π 3 7 6+ 5 4 3 2 2π…

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Q: Using polar coordinates, evaluate the integral ff.sin( sin(x² + y²)dA where R is the region 16 ≤ x²…

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Q: Let (3, 4) be a point on the terminal Find the exact values of cos 0, sec 0, cos ( = 0 sec 0 = 0 cot…

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Q: lars) from the production and sale of x units of a product is

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Q: QUESTION 11 Find an equation of the tangent line to the curve at the point corresponding to the…

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Q: Prove the following statement: 2² +23+24+... 2+1 = 2" +2-4

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Q: 3/3 10. Evaluate • 73 (x² +9)3/2 dx

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Q: 4 Find sin 2x, cos 2x, and tan 2x if sin x = and x terminates in quadrant II. 5 sin 2x = S ? cos 2x…

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Q: Solve the problem. A business estimates that the salvage value V of a piece of machinery after t…

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Q: 1.57 1 (1.5,2) (-0.7,02) (0.7,0.2) -1.5 -0.5 1 1.5 --0.5+ -1.5 Where does f have absolute minimums?…

A: Recall:  In graph, y-coordinate at the lowest and highest points are called the absolute minimum and…

Q: X 75 ft 0 A pole stands 75 feet tall. An angle is formed when wires of various lengths of a feet are…

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Q: Answer (A) & (B) A- Find the integrating factor of the following D.E (2 cos y + 4x²)dx (x siny) dy…

A: Integrating factor of the differential equation: Consider  Mdx+Ndy=0 be the differential equation.…

Q: Find T(t) and N(t) at the given point. r(t) = 6 cos(t)i + 6 sin(t)j + tk; t = T() 6 37 0, √/3 X N…

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Q: Use the formula к(t) 390 t¹4 k(t) (4 + 210 t¹3) = ||r'(t) × r"(t)|| ||r' (t)||³ = r(t) = t²i+t¹5j X…

A: Use derivative for finding the curvature .