1 lim(x²-3x+1) 3. lim tan(x²) 7. lim 2²-1-2 x²-4

Q: a) f(x,y) = x³y² + 6xy b) g(x,y)= 6x-x²-8y-2y²

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Q: Find an equation of the plane. The plane that passes through the point  (−2, 1, 3)  and contains…

A: Question : Find an equation of the plane.   The plane that passes through the point  (−2, 1, 3)  and…

Q: and the general solution of the following equations: f y'+(4/x)y=x* ---by linear method

A: Topic: application of integration and differential equations

Q: Book Problem 27 If ƒ(2) = 25, ƒ' is continuous, and f f'(x) dx = 13, then the value of f(9) is

A: Given, f(2)=25, ∫29f'(x)dx=12

Q: 1 Express the following functions in the form utiv • f(Z) = ln (1+z)

A: This is a problem related to complex number. Please follow the procedure given below.

Q: Calculus Readiness 1:Find the simplify the difference quotient f(x+h)-f(x), h for the function: f(x)…

A: The given function is: fx=ax2+bx+c

Q: If y arcsin(4x4), dy da ||

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Q: for the following P.d.f of x, find the p(x<1) and p(x|<1) ,F(x)=x²/18 if -3<x<3 and 0 in other place…

A: In this question, we need to find p(x&lt;1) and p(|x|&lt;1).

Q: [ 0 y-y² y-y² (y - y² - x²) dxdy

A: Given equation: ∫01∫-y-y2y-y2(y-y2-x2) dx dy

Q: Q4) Find the result of the following: 1. (330i19)/(2-1) =? 2. 3. 4. Beta function, ß (5/2, 1) =?…

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Q: 393. lim x x → 0+ 1/x

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Q: e monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it…

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Q: Function h(t) = sin t + et Point 1 Let (₁1¹) (ㅠ, 6 (a) Find an equation of the tangent line to the…

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Q: In how many ways can we of 12, of which a particula included? a. 904

A: Topic:- permutation and combinations

Q: Jason leaves Detroit at 5:00 PM and drives at a constant speed west along 1-96. He passes Ann Arbor,…

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Q: Q4) For the following function, determine whether u and v are harmonic (satisfy Laplace equations)…

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Q: 1. ELIMINATION OF ARBITRARY CONSTANTS. For each problem, eliminate the arbitrary constant/s. Box all…

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Q: A Cylinder tank of radius 4m and height 10m is initially filled with water. At the bottom of the…

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Q: 1. Find the limit if exists or show that the limit does not exist 3x²y² (a) lim (2,3)+(0,0) 24+4 (b)…

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Q: Find the greatest integer less than or equal to log29 S² log2 (x³ + 1) dx + (2x - 1)³ dx.

A: At first, we have to evaluate: I=∫12log2x3+1dx + ∫1log29(2x-1)13dx

Q: -2 0 1| 3 What is the 6 5 4 3 2 1 0 -1 -2 -6 lim f(x) for the following graph? X→-3 -5 -4 -3 -2 -1 0…

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Q: The probability distribution for the random variable, x, is x:2, 2.5,3.0,3.5,4.0 ,4.5 and P(x):0.07,…

A: Ans=(d) 0.57 For detail go through the solution I have solved step by step in detail

Q: Find the points on the curve where the tangent is horizontal or vertical. (Enter your answers as a…

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

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Q: 6. f is a function that is differentiable for all reals. The value of f '(x) is given for several…

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

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

Q: 16. Describe in your own words the difference between a scalar and a vector. 17. Given the vector F…

A: Scalar quantity is the quantity in which we consider only magnitude and vector is the quantity in…

Q: 1. 2. 3. The domain of f(x)=is ........ The distance between the line 3x + 4y = 2 and (1,1) is The…

A: 1. The given function fx=1x 2. The distance between the line 3x+4y=2 and the point 1,1 3. The given…

Q: Find Domain and Range y=- ex-1 The domain is (-00,00) and range is (-00,0) The domain is (0,00) and…

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Q: The graph of P = f(t) in Figure 1.8 gives the popula- tion of a town, in thousands, after t years.…

A: (a) The graph has been edited to precisely measure the coordinates at different points.

Q: Electricity rates. The table to the right shows the electricity rates charged by Better Than…

A: The table shows electricity rates charged by better than lightning in the winter months. Winter…

Q: .. Find the constants a and b, such that the function is continuous on the entire number li 2, x≤ -1…

A: Topic:- calculus

Q: (a) Graph the given function, (b) find all values of x where the function is discontinuous, and (c)…

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Q: Complete the table. (Round your answers to five decimal places. Assume x is in terms of radian.) 5…

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Q: If y = arcsin (e-32), dy dx ||

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Q: Use calculus ideas to find the required graphical values of the following functions: 23. Find the…

A: See this solution in below

Q: DEFINITE INTEGRALS Evaluate each of the following definite integrals: 21. ²(6x² + 3)dx 22. (4x+1)dx

A: To evaluate the integral.

Q: Help? Watch t

A: We will find the required.

Q: Find the domain of y= 6x-1 √25-x²

A: Domain of y=  6x-125-x2

Q: Book Problem 15 Find the average value of the function f(x) = -3x³ on the closed interval [-1,3].…

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Q: The means of 6, 6, 6, 6, 6, 6 is 6? a. O False O b. True

A: In this question we have to find mean.

Q: Find y' for sin x+sin y = 1. Find y' for xcos y=sin(x + y).

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Q: sin 3x x-0 tan 4x 3. lim

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Q: Find median and mode of the messages received on 9 consecutive days 15, 11, 9, 5, 18, 4, 15, 13, 17.…

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Q: Find the value of c such that enc=14 n=0 Enter an exact value BD

A: Given :∑n=0∞enc=14

Q: (x²-1, x0 Determine the domain and range.

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Q: 22 e 1-§ 2(2-21) ² c: |z_11 = 1/2, 17-11-2

A: The given integral I=∮Ce2zzz-2i2   ;  C=z-i=12, z-i=2 Cauchy integral formula:   suppose that C is…

Q: 5. lim -00 2-1 5

A: limx→-∞x2-x45

Q: If y = u5/2, u = 7x8 + 3x², find dy/dx

A: