(1+x²-1) y = tan²¹ / √₁+x²

Q: ) find the following limits if exist:- x²+3x-4 x-1 limx-17

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Q: Express the repeating decimal as a fraction. 0.191919... =

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Q: Find the following limits. √x-3 X-9 x-9 1. lim t²-7t+10 2. lim- t-2 t-2 3. A function f(x) satisfies…

A: Since, you have posted multiple questions, as per guidelines, we"ll solve only first three…

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim 7 cot(x) X-R

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Q: Let g(x) = 0 if x = -2 x² - 3 if x # -2. Find lim g(x) x = -28 (x)

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Q: Find a vector parametrization for the quarter-ellipse from (5, 0, 6) to (0, −2, 6) centered at (0,…

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Q: Simplify tanx (cscx sinx). A B D 0 1 sinx COSX

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Q: grow art thrive, eventually reprodur the population. (+/24) 10" ³ = 1×2⁰

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Q: The graph below is the function f(x) -5 -4 -3 -2 -1 lim 5 4 3 x→2 12 A -1 -2 -3 -4 -5+ Select all…

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Q: The function f(x) is continuous on the interval [-1,3]. The table below gives some of its values.…

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Q: A graphing calculator is recommended. A bacteria culture starts with 900 bacteria and doubles in…

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Q: Find an equation of the tangent line to the graph of the function at the given point. Y = sin 3x (=…

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Q: Find the length of the curve x = 5-t, for 1 < t < 2. y = 3-t, z = 3t - 5,

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Q: fcos (x) sin(x) dx -(sin²(x)) + C (sin² (2x)) + C A. B. C. - (sin² (2x)) + C 2 D. (sin²(x)) + C 2

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Q: if f(x) = x² √In x² x . find the derivative of this function f'(x A. f'(x) = B. f'(x) = c. f'(x) =…

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Q: Find the area of the segment cut off from the curve y = sinx, 0≤x≤nt by the line y = 1/√2. HT 1/2 y…

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Q: (-2,4) y 2 у = 4 − x2 -

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Q: (2) S dx x²√9-x²

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 2. f(t)=√t+ √VE

A: Domain of a function is defined as the set of values of input variable for which the function is…

Q: Use one or more logarithm identities to show that In (2) In(x) for any > Use one or more logarithm…

A: we have to do as per the question.

Q: Find the Maclaurin series for the function. (Use the table of power series for elementary…

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Q: dy dt = e¹+y +}

A: We can answer the question as below.

Q: if x ≤ 9 - {800 6x + b if x > 9 If f(x) is a function which is continuous everywhere, the Let f(x)…

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Q: A research lab grows a type of bacterium in culture in a circular region. The radius of the circle,…

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Q: 3 2. f(t) = (2t-1)-²; ƒ(1), ƒ(5), ƒ(13)

A: Given function is f(t)=(2t-1)-32 We need to find its value at, f(1), f(5), f(13)

Q: During an 8-hour shift, the rate of change of productivity (in units per hour) of infant activity…

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Q: 1. Perform the indicated operation and 2+3i (1) 4-2i a. 2 b. (- 1 + √√-3) (1)

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Q: Find the angle between in the two planes a = (1,2,3) and b =(4,-5,6)

A: Let's find angle between two plane.

Q: 5. Let f(g(x)) = H and H = √√x² + 4 a. If f(x)=√x, what is g(x)? b. If g(x) = x2, what is f(x)?

A: f(g(x))=Hand H=x2+43

Q: Please

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Q: in a sequence find and explain the difference, if a1 = 1 and S10 = 63 (The sum of 10 terms equal to…

A: To find out the difference of the arithmetic sequence.

Q: B. Find the DE of each of the following by eliminating arbitrary constants. Reduce your final answer…

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Q: 28. Se cost sin 2t dt

A: ∫0πecostsin2tdtSolution :∫0πecostsin2tdt2∫0πecostsintcostdtlet, cost=x-sintdx=dxsintdx=-dxat…

Q: (y²_xy) dx + x² dy =O

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Q: Solve for the variable of the following quadratic equations. Kindly provide a COMPLETE and CLEAR…

A: We have to solve the given quadratic equations.

Q: Let f(x) (fg)(x) = 2x + 4 and g(x) = 5x2 + 5x. After simplifying,

A: 1)f(x)=2x+4 and g(x)=5x2+5x 2)f(x)=x2-7x and g(x)=x+15

Q: Given f(x) = 5x² - 10x + 8, find the average rate of change of f(x) on the interval [2, 2+ h]. Your…

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Q: 5-5 TIME TO REACH A FINANCIAL GOAL. You have $33,566.25 in a brokerage account, and you plan to…

A: Let's find time to reach goal.

Q: Determine the domain and range of the function using the graph below: 15 -5 -4 Domain: Range: -3 S…

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Q: f(x) (b) 1 x + 3 lim f(x) X-3+ -4 -2 2 -2 -4 2 X Determine whether f(x) approaches ∞ or -∞o as x…

A: This question is based on left hand limit and right hand limit.

Q: Find the following limit. 1 x+6 Provide your answer below: 1 3 lim x--3 x + 3 Give your answer as a…

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Q: D r = sin 0 r= cos e

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Q: Question = 2 and v(y) Define as the region bounded by the functions u(y) around the y-axis, what is…

A: We need to find volume.

Q: Prove that B (xX+1; y ) + B (x,y+1)=B (X,Y) let П (х+1) = ХГ (Х)

A: We have the formula for beta function interms of gamma function is that B(m,n)=Γ(m)Γ(n)Γ(m+n)As we…

Q: (6) The integrals represent the volume of a solid. Describe and sketch the solid. (a) √²¹2x³dx (b)…

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Q: List the x values of the discontinuities of the function: 4 1+ e4/r y = X =

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Q: Tutorial Exercise Find an expression for a cubic function f if f(2)= 24 and f(-2) = f(0) = f(3) = 0.

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Q: We'll be analyzing the surface area of a round cylinder - in other words, the amount of material…

A: The roots of a quadratic equation ax2+bx+c=0 are given by x=-b±b2-4ac2a

Q: 1. Solve the Differential Equations. (3x² - 2y²) y' = 2xy

A: Ode

Q: A differential equation is an equation A that contains a derivative like y'(x) as well as the…

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