lim sec O 0→→→I+ 2

Q: Let lim f(x) = 19 and lim g(x)= 16. Use the limit rules to find the following limit. X-9 X-9 lim…

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Q: 5. Oil flows into a tank according to the rate F(t)=1+1, and at the same time empties out at the…

A: Please see the below picture for detailed solution.

Q: The tortoise versus the hare: The speed of the hare is given by the sinusoidal function H(t) =…

A: The speed of the hare is : H(t)=cos(t) The speed of the tortoise is : T(t)=12t

Q: Officials in State A tend to raise the sales tax in years in which the state faces a budget deficit…

A: This is a problem related to limit of the step function. Please follow the procedure given below.

Q: Evaluate the following integrals. b. "f2 sec² xdx (2x+5)dx

A: Topic:- application of integration

Q: 4. Find all functions that solve the differential equations. (a) x' = te-2t (b) x' = 1/(tlnt). (c)…

A: To find the functions that solve all the differential equations

Q: 14. f(x)= a. b. C. d. lim 2--1+ f(x)= lim lim lim 3(x-3)²(x+4) lim f(x) = f(x) =

A: see below the answer and explanation

Q: A car drives down a road in such a way that its velocity (in m/s) at time t (seconds) is v(t) =…

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Q: Find f(x) + g(x), f(x) – g(x), f(x) · g(x), f(x) = 5x - 9 g(x) = 7 - 6x (a) f(x) + g(x) (b) f(x) -…

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Q: ] 8. In a company telephone tree, each employee is to phone two other employees. In the first round,…

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Q: s and determine the domain and range: #3 3 x + 2, g(x)=√16-x², Domain: Range: 4-x, x = -4

A: We have to draw the graph and determine domain and range of the given function

Q: Use the chain rule to help you find dy/dx for each of the following functions: 10. y = (x²+4)³ 12. y…

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Q: 2. If x² - xy + y² = 3 find y' and y".

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Q: 14. Evaluate to 4 decimal places: csc 153°

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Q: Solve the given initial value problem. O x¹y² + xy³ = -18 O x¹y² - xy³ = 36 x³y² + x³ = -18 O x¹y² +…

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Q: If y = arcsin(4x + 5), dy dx =

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Q: 30. F(x)= = 0.292 0.540 0.709 0.842 sin(1²)dt . Use your calculator to find F '(1).

A: We have Fx = ∫0xsint2dt To evaluate: The value of F'1

Q: 17. f(x)=- a. b. C. d. lim lim (x-2) lim f(x)= lim x-2 /(x)= f(x) =

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Q: The graph is a transformation of one of the basic functions. Find the equation that defines the…

A: We can find the answer as below.

Q: question 7. x + 128x + 96x = 0 answer 7. x = C₁e(-64+20√10)t + C₂e(-64-20√10)t

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Q: nch the without solving the problem) ution of the given initial value problem is certain to exist. −…

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Q: The rate at which water flows into a tank, in gallons per hour, is given by a differentiable…

A: Given Table:- t(hours) o 2 3 7 8 R(t)(gallons per hour) 1.95 2.5 2.8 4 4.26

Q: The random variables A and B have variances Let T= 5A-2B. The 0.3 and 0.4 respectively. variance of…

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Q: AT&T X nput 7:55 PM 26% O < -4 < left bracketing bar2x + 2right brack

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Q: for f(x)=3x^2, find the average rate of change of the function over the interval [0,2].

A: For the function fx=3x2, to find the average rate of change of the function over the interval [0,2].…

Q: Consider the following graph. YA Determine whether the curve is the graph of a function of x. Yes,…

A: Graph of a curve is given, we have to find its domain and range

Q: Help? Watch t

A: We will find the required.

Q: Evaluate t9e²t5 dt.

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Q: 13. f(x)2(x-4Xx+3y³ a. b. C. lim x-2+ f(x) = f(x) =

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Q: i need the answer quickly

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Q: If it is, state the domain and range of the function. (Enter your answers using interval notation.…

A: state the domain and range of the function.

Q: Find the set on which the curve is concave upward. Answer (in interval notation): | 2 y = ₁² 1²+ 3²…

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Q: 03/: Find the area over the region R that lies inside the cardioid r=1+ cose and outside the circle…

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Q: f and g are continuous functions such that g(2) = 6 and lim x→2 [3f(x)+f(x)g(x)] = 36. Find f(2).

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Q: 9X4) 10. If h(x)=x-3 and g(x)= x. Find (hg)(x) N O

A: Use the composition and multiplication property of function.

Q: Suppose f(1) = Let h(x)= arcsin(f(x)). h'(-1) = and f'(1) - 2.

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Q: 30. Use the fact that lim x→0 sin x X = 1 (shown in video) to show lim x-0 1 - cos x X = 0

A: we will find the required.

Q: X Given zx 2cos u; y = 3sin v, find y O-2cos u cos v 3 sin ² v O 2sin v 3 sin u O-2sin u 3 sin v…

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Q: Calculate the means and standard deviations of:1, 2, 3, 4, 5 O a. mean = 3; st. dev. = 1.414 O b.…

A: Let's find means and standard deviations.

Q: Find the domain of the function. (Enter your answer using interval notation.) 3x³-1 x² + 3x - 18…

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Q: 1. Sketch the graph of the equation. x2 + y2 + 10x − 4y + 29 = 0   2. Complete the graph using the…

A: Given problems:- 1. Sketch the graph of the equation. x2 + y2 + 10x − 4y + 29 = 0 2. Complete the…

Q: Step 4 now find the time when v=0 v=0 t² -€/ - 2 t (10-²) 10t - 10 here t=0 is the starting point so…

A: Solve the following

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

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Q: There is a ready polar formula for negative one (-1) and also a ready polar formula for negative i…

A: As we know that any complex number z=a+ib can be written in polar form z=reiθ, where r=a2+b2  and…

Q: B √√2 3 and D(3cos 0, 2sin ) are four points, then find the maximum area of quadrilateral ABCD,…

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Q: Find the derivative. g(t) = 7/ square root t

A: We have to find the derivative of the function  gt=7t.

Q: Use the graph to find the following limits. a. lim f(x) X-1 b. lim f(x) X-3 a. Find lim f(x) or…

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Q: A discrete random variable has probability distribution: x= 1, 2,3,4, 5 and P(x) =0.12,0.15, 0.23,…

A: False statement

Q: eliminate arbitrary constants x³y² - 16x² ys 3. t 2/8 t ه علیدگی + 30 c = 0 = 25

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Q: 2. Solve the initial value problem x' = (t+1)/√t, x(1) = 4.

A: Given, x'=t+1t, x(1)=4