S 1 x√x²-4x-1 =dx = -Arcsin x √5

Q: d [rı(t)- r₂(t)] = [ dt d [ri(t) x r₂(t)] = dt

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Q: The population of elk in a national park is given by the function 1000 P(t) = 1+15e-3t where t is…

A: This question can be solved using the concept of differentiation and limits.

Q: Find T(t) and N(t) at the given point. T(0) N(0) x = e cost, y = et sint, z=et; t = 0

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Q: DTCL ^ cos log X-1 x/LOGIC CONV MODE CLR ON M+ tan tan F In CONST 570MS Consider the differential…

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Q: Use implicit differentiation to find the equation of the line which is tangent to the curve 2xy +…

A: Given equation: 2xy+3x2-5x=4 We know that slope of tangent will be defined by dydx-1,2

Q: B) Estimate the next root of the function f(x)=x^3-x-1 using Muller method, let x0=1, x1=2, x2=1.5

A: Muller method: The Muller approach is applicable to any root-finding programme, but it is especially…

Q: Using trigonometric substitution, what is 2 A sec-1 (3) - x²-g 6x² ® 1/1 sec - ¹ (1/3) - B x²-9 2x²…

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Q: Q1: Find partial derivatives of the function with respect with each variable 3) f(x, y) = (xy-1)² 2…

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Q: a) Graph the function f(x)=x² + 2x b) Draw the tangent lines to the graph at the points whose…

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Q: Compute the area bounded by the curve y=3x² and the lines y=0 and x = 3,

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

Q: 5 [x²² sec (2) com ³ (2) abr dx 7 2tan can ²2 ( 1 ) [7tan² ( 1 ) +1 + C (Α 77 11 7 2x + (-) == ² (7)…

A:

Q: Given: √√-x² + 4x+5 dx. Using trigonometric substitution, what is the integral form in terms of ? A…

A: The given integral is: I=∫-x2+4x+5dx=∫9-4+4x-x2dx=∫9-4+4x-x2dx=∫9-(x-2)2dx

Q: b) f4 sec 0 tan 0 do

A:

Q: ƒ dx = f(+ g(x)) dx, then A + f g(x) dx is equal to x³+x A. -1 B. -1 + In(5/2) C. 1 D. -1 + In(7)

A: Given that,

Q: Fill in each blank so that the resulting statement is true. The change-of-base property for…

A: Given problem:-

Q: Find a potential function of the vector field. F(x,y) = (3x²y + 1, x³+2y)

A: we have to find potential function.

Q: In t years, the population of a certain city grows from 400,000 to a size P given by P(t) = 400,000…

A: Take the derivative to find rate and substitute the value of t and simplify.

Q: 91_در lim 2-3 z²+4z-21 LIMIT VALUE: lim 2--1 LIMIT VALUE: lim (x³ +7x² - 2x + 4) 2-2 LIMIT VALUE:…

A: Solved below

Q: Find the average value of the function f(x): = 5x² on the interval 1<x<3

A: Given

Q: -0.4t The rate, r, at which people get sick during an epidemic of the flu can be approximated by r…

A: Solved below.

Q: lim √xe/2 x →∞

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Q: Find a power series solution of the differential equation y' = 4y

A: We have to find power series solution .

Q: For the function f(x) given below, evaluate lim f(x) and lim f(x). X18 8118 3x² - 1 f(x) = Enter an…

A: The given function is f(x) = 3x2-1-x+3 We have to find the limit   ,    limx→∞f(x)    and…

Q: Suppose a tank leaks toxic chemicals. The area affected is a circle centered on the tank. When the…

A: A=πr2r0=70 mA0 =4900π  m2r1=220 mA1 =48,400π  m2rate of change in area:=A1-A0t1-t0=48400π-4900π50-0…

Q: Find T(t) and N(t) at the given point. T() = N K2 r(t) = 9 cos(t)i +9 sin(t)j + tk; t= 2 =

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Q: Calculate the derivative. f(x) = 6-9x1/3 +9e* (Use symbolic notation and fractions where needed.) d…

A: A detailed solution is given below

Q: 1) x² + y² + ² = 3, P. (1,1,1) 2) 2=-x²=0, P. (2,0,2) XZ 3) cos(x)=x²y + e + yz = 4, P. (0,1,2)

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Q: Find the derivative of f(x) = tan(sin(2x))

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Q: Select the answers that best complete the given statement. The power rule for logarithms states that…

A: We can find the correct answer using the properties of log as below.

Q: ²1dx = f ( + g(x)) dx, then A + √² g(x) dx is equal to 12. -1 + In(5/2) 1 -1 -1 + In(7) A. B. C. D.

A: The given integral,  ∫x2-1x3+xdx

Q: A cat darts around a room chasing a ball. The cat first travels along the vector (-1,2) and then…

A: Given ,  A cat darts around a room chasing a ball. the cat first travels along the vector &lt; -1, 2…

Q: A Ⓒ Using integration by parts to solve f √4x²+k -2√4x²+k -√4x²+k 2√4x²+k x³ dx √4-x² and letting u…

A: Let's find.

Q: Write an equation of the form y=a sin bx or y=a cos bx to describe the graph below. y 0 4 5 16 7 8 9…

A: Given

Q: ∞ Use the ratio test to determine whether n + 9 n! n=14 converges or diverges. (a) Find the ratio of…

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Q: 55. f(x) = x² + cos ¹x on [-1, 1]

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Q: 22-12x S- To solve -dx, partial fraction is to be employed. What is the most appropriate form of the…

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Q: +3x²+7x+28 18. Using partial fraction in evaluating x³+x²+7x 1/2(2x + 1) - 17/7/2 6-2x -…

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Q: Based on the table below, I f(z) 53 61 3 0 1 2 3 4 10 Evaluate f(5): f(5)= Solve f(z) = 3: z = 45 5…

A: The table is given by To evaluate: The value of f5 and the value of x for which fx = 3.

Q: Fill in the blank so that the resulting statement is true. If log 6(x + 4) = 2, then ______ = x +4.…

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Q: Match each function name with its equation. a. Square Root Y b. Cube root Y c. Reciprocal Squared d.…

A: Given query is to find the name of the every function.

Q: (a) f(x) = 2x³ + 3x² - 12

A: As per guidelines if multiple questions are posted we are allowed to solve only 1st question..…

Q: y=√√√5-√x

A:

Q: Visually estimate the location of the centroid of the region shown. Then find the exact coordinates…

A: Find your answer below

Q: [CLO-2] f(x) and g(x) are functions that are continuous on the interval -3 ≤x≤2 and satisfy 1 1…

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Q: What can you say about the series Σan in each of the following cases using the Ratio Test? Answer…

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Q: Lemon and Pepper are going sailing on the ocean today. Lemon's sailboat is 50 miles north of…

A: We have to find the distance between their sailboats changing after 2 hours.

Q: b) fex-c - cos x + 1dx

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Q: Given the function f(x) = 3x - 7, evaluate and simplify the expressions below. See special…

A: The function is given by fx = 3x-7 To evaluate: The values of fa, fa+h and fa+h-fah

Q: 3. Evaluate lim x →∞ ९+2 -( if necessary, using L'Hôpital's rule) 1-x³

A: In this question we have to find limit.

Q: Find the exact location of all the relative and absolute extrema of the function. (Order your…

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