03. What is the domain for y = x3 + 3x² + x – 4. A. [-0, +∞] В.(-о, 2) С. (2, +о) D. (-0, +∞) E. not given

Q: For what value of the constant c is the function f continuous on the interval (-,00). Sa? – 3, x с…

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Q: O Discuss he Singularities and Paks ZE Sinz (--2)(Z²-)}(Z"+ SZ+6)(2+7)(214)

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Q: Which value of c satisfies the conclusion of the MVT for the function f(x) = 3x² – 3x + 7 on the…

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Q: 4. If f(x)dx = (x + 1)ln(|æ|) + C, what is f(x)? (To write absolute value, write abs(x). Do not…

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Q: 4. Use the algebraic description to find the image of AMNO). (x, y) → (x+ 2,y- 3) -3 21

A: From the figure, we see that M(-2,4), N(-3,1) , O(-1,0).

Q: Find fx for f(x, y) = In(x – y).

A: Given that fx,y=lnx-y To find fxx It can be found by fxx=∂2f∂x2     =∂∂x∂f∂x

Q: If h(x) — За — — 1, j(x) k(x) = 21x? – 26x – 11 , show - 7x + 11 , and - - - - h(x) · j(x) = k(x).

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Q: What are the domain and range of g(x) = 3√x+4? OD: [3,) and R: [0, ∞) OD: [4,) and R: (-∞, 0) OD:…

A: The given function is: g(x)=3x+4

Q: If X is uniform in the interval [-3,3] compute X(i.e. E{X}) and o² (i.e.E{(X-X)²}).

A: Given that X ~ U[-3,3] to find mean and variance

Q: The area bounded by the curve y 7x and the lines x = 9 and x = 42 above the x х — ахis - is_ O…

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Q: A. Homo ge neous Higher Ordered DE (0-704 - 310° ° + 103o² 1030² + 1500 - 216) y:0

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Q: D if x,Y,2 inclepndent Variables and z function in X, Y which achieves the eguation find az…

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Q: 4 - find the absolute max. and min. o f the function f = x² +y? on the close d triangle Plate boun…

A: We have f(x, y) = x2+y2

Q: 11. Given /(r)-V1-2, fnd onctions /and g so that. /(r) (/o9)(r).

A: Here, we must express H(x) as a composition of two functions. This can be done in multiple ways. One…

Q: 2. Consider a ball thrown in the air (f) defined by the formula f(x) = (3 + x)^2 whose domain is the…

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Q: 2. ASSume that 9 (x)= 4X-1 of sOme unction gX) the intervaS on which the or.ginal function, 9X), is…

A: Here, the given that the function g(x) has the derivative: g'(x)=4x-1x23

Q: Let x and y be postive numbers such that x+2y=50. Fing the values of x and y that make the quantity…

A: Here we will use the concept of maxima and minima to solve this question

Q: 4. Use the definition of "f(x) is 0(g(x))" to show that 2* + 17 is O(3*).

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Q: given that y = 1 eries with h = 0.

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Q: 62. Let D be the domain bounded by y = x2 +1 and y = 2. Prove the incquality 4 20 (x² dA 3

A: The domain is y=x2+1 and y=2. Sketch the domain D as shown below.

Q: 4cos20 + 2/3 = 0 on the interval[0, 3t]

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Q: Compute f.F. dr, where F(x, y) = (2+ 12x²,9xy² ) and C is a line segment from (0, 0) to (1,2). (Use…

A: To Determine: Compute ∫cF.dr,where Fx,y=<2+12x2,9xy2> and C is a line segment from 0,0 to 1,2.…

Q: Let f(x) = /90 – x and g(x) Then the domain of fogis equal to a, b for = x? r. %3D - - and %3D

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Q: Which value of c satisfies the conclusion of the MVT for the function f(x) = 3x² – 2x + 3 on the…

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Q: express the set of numbers x satisfying the given condition as an interval.       lxl ≤ 9

A: Given: x≤ 9 Express x≤ 9 in terms of interval

Q: 6. so be it r = 3xi + yi – 2zk and f (r) : -- where |r| = r find all of grad(f) and div (-)

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Q: Proof by contrapositive that for xy EZ, if xy is even then either x or y is even.

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Q: Suppose s(t) = 8t - 2t² on the interval [0, 4]. What is the distance traveled on [0, 4]? 00 04 08 O…

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Q: Suppose v(t) = 6t² - 3t on the interval [3, 5]. What is the displacement on [3, 5]? O 160 O 165 O…

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Q: The algebraic translation of "x is no more than 7" is

A: the algebraic translation of "x is no more than 7 " is ?

Q: What is the largest interval on which the following IVP sure to have a unique solution: (t…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Is the domain of y = 4' all real numbers? (ie) continuous

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Q: Alice is in a 20-km running race. She always runs the first half at an average speed of 2 km/h…

A: Alice is in a 20-km running race.She always runs the first half at an average speed of 2km/h faster…

Q: - Give the domain for k(a) in interval notation. x2 + 3x +2

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Q: on is discontinuous on the specified interval. Vx2 - 64 if IS -8 if-8<x<8 88] 0 ifx28 f(x) = {x+8

A: If a function is continuous then the left hand limit, right hand limit and value of function at that…

Q: Find the slope of the line tangent to the graph of the relation (5x - 34e)(y +5e) = e(x - 10e) at…

A: The given relation is, 5x-34e(y+5e)=e(x-10e) taking ln both sides,

Q: What is the domain of { (z,3z2- 5) Iz ER except 0}? All real numbers All negative numbers {x\x€R>0}…

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Q: . If 4=(x+2y+az, bx-3y-z,4x+cy+22) is irrotational. Find constant a,b,

A: Follow the procedure given below.

Q: 12. Suppose that r(t) = 5+502, where t is time in hours. How far does the bus travel in 1 hour…

A: GIVEN v(t)=5+50t2 where t is the time in hour

Q: Suppose that Y = Z - X is independent of Z and of X. Show that Y is a constant.

A: Given that Y=Z-X. To show: Y is a constant function.

Q: Show that the square of the length of subtangent at any point on the curve by2=(x+a)2 (b is not…

A: By using formula of lenght of sub tangent and sub-normal

Q: 4) Fund the interval of x-value on which the Carve is Con Cave up and Con Cave dawn 3 fex) = +x-3X

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Q: 2, the interval of differencing being unity. E Evaluate

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Q: 2- Find ( for: y= esin-1 x

A: first derivative of function

Q: 6., Given that= 1' + sy = ) and that y = 1 dr (a) show that for values of r close to 0, 1 when = 0,…

A: Let y(x) is a function. Then the expansion of Taylor series of the function y(x) at the point x=a…

Q: The algebraic translation of "x is no less than 7" is .

A: Given statement is "x is no less than 7:. To translate into algebraic form. Solution: Given that x…

Q: A translation was given by the rule: (x. )-(x-4. 7A point mapped with this rule would have an image…

A: We have to find the rule

Q: Lars was 20 inches tall when he was born, and six foot one when he died at age 83. Use the…

A: Intermediate value theorem :- Let f be a continuous function on [a,b] and f(a) =/ f(b) with f(x)…

Q: 1 -Find all the points where f(2)is analytic. 2+3 Let /(2) =

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Q: 3 Q7- Let fw=ex-y, Find a fun ction y =gcW So that f. 9) (x) = X+ 2 .

A: Given f(x)=2x3-4 To find a function y = g(x) such that  (fog)(x)=x+2