(22 +y +1)dz - (zy+y)dy = 0 %3D

Q: Evaluate the following limit using L'Hopital's Rule if indeterminate. e* – 1 lim x-0 sin(x)

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Q: Find the derivative of y with respect to 0. y= 30( sin (In (30)) + cos ( In (30))) de (Use parenthes...

A: topic- derivative of a function

Q: (d) dx

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Q: ............... ........ ...... .......................................................................

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Q: x²-4 6. f(x) = si x # 2 x-2 5 a. Halla el Dominio b. Evalúe: 1) f (0) 2) f (-3) 3) f (2) si x = 2

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Q: Given: (-8, 6) cose = -3/5 3/5 -4/5 4/5

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Q: Consider the following function. 5 f(x) = (a) Find the inverse function of f. f-1(x) =

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Q: 13 A triangular lot bounded by 3 streets has a frontage of 300 feet on one street, 250 feet on the ...

A: We can solve by cosine law as follows

Q: Use the formula for the binomial series: 1+ mr + m(m-1) 2 , 2! m(m–1)---(m–k+1). (1 + x)" = + %3D k!...

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Q: Let y(t) represent your bank account balance, in dollars, after t years. Suppose you start with $600...

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Q: Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the ...

A: In this question we have to find the volume of the solid using disk or washers method.

Q: 2. Use the function h(x): a. Use a calculator to graph h(x). Make sure you have a window that is lar...

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Q: Graph the polynomial given below by first selecting the number fo points that you will need, then mo...

A: We can find the required points, x-intercepts, y-intercepts and graph the polynomial as below

Q: Find the volume of the solid obtained by rotating the region under the graph of the function f(x) = ...

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Q: The number of women in the workforce, based on data and projections from 1950 to 2050, can be modele...

A: The number of women in the workforce, based on data and projections from 1950 to 2030 The number was...

Q: Find the volume of the solid whose base is the semicircle y = v9 – x2 where -3 < x < 3, and the cros...

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and indica...

A: This question is related to application of derivatives.

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answ...

A: Explanation of the answer is as follows

Q: Which of the following statements about quadratic functions are true? Select all that apply. OA quad...

A: topic - quadratic equations

Q: O Ladders used by fruit pickers are typically tapered with a wide bottom for stability and a narrow ...

A: In order to solve this problem we need to frame this as arithmetic progression series and solve it a...

Q: Work of 3 Joules is done in stretching a spring from its natural length to 14 cm beyond its natural ...

A: Let's find. 

Q: Sketch the region enclosed by the given curves. x = 3y2, x = 4 + 2y2 y y 12 10 8 6 6 8 10 12 2 1 2 y...

A: The region is enclosed by the curves,x=3y2, x=4+2y2

Q: Integrals. Find the indefinite integral. | (7 - 6)(6t + 12) dt = + C

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Q: Find the derivative of the function. 4.r y = +3 y'(x)

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Q: y = f(x) 2r 2r cross-section y = g(x) base view The base of a certain solid is an equilateral triang...

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Q: S coslnx dx

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Q: 6. Equation of the line that passes through (-5, -8) and is perpendicular to the line: 3x-9y =7.

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Q: Consider the function S(6) = -2x† + interval, Express your answer as an ordered pair (x. f(x)). (Rou...

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Q: 3. Find the equation of the tangent line at point P(2,1) to the graph of the curve f(x) = V3x – 5

A: since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: 3. Use g(x)=e* (x-a) and g'(x) =-2e (x-a)(x-ax-1) to answer the questions. a) Find lim g(x) and lim ...

A: This question is based on Finding limits using L hospitals rule.

Q: Given the curve h(x)=x2−7, find the point on h(x) is closest to the point (57,−7). Enter your answer...

A: topic -curve and distance from a point

Q: Find the extreme values for the function f(x) = x + sin x on the interval [0, 27).

A: This function is unbounded below and unbounded above, Therefore the function has no global extreme v...

Q: 2. Find the points on the graph of f(x) =- where the tangent line is horizontal. x2+2

A: Given f(x)=xx2+2we want to find the point on curve where tangent is horizontal 

Q: - 0.13t If C(t) = 79.8t e ng of a drug in a person's systemt hours after the drug is administered, h...

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Q: 6. Evaluate any 5 of the following 6 integrals. 1 dx 1² +1 dr 1 (a) (b) (c) cos(50)do (d) (e) (f) |a...

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Q: Find the derivative of the function. h(t) • 6 +9 h'(t)

A: Quotient Rule of differentiation :ddtuv=v.dudt-u.dvdtv2. dtndt =n.tn-1 Chain Rule of differentiation...

Q: 3x-4 if-3 SXS4 If f(x) = find: (a) f(0), (b) f(1), (c) f(4), and (d) f(5). x -4 if 4<xs 5

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Q: Assume f and g are differentiable functions with h(x) = f(g(x)). Suppose the equation of the line ta...

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Q: How much work is done lifting a 25 pound object from the ground to the top of a 25 foot building if ...

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Q: Write the first five terms of the sequence: {Vn² + 2n – n}=1 +00 Determine whether the sequence conv...

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Q: Find a mathematical model for the verbal statement. (Use k for the constant of proportionality.) For...

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Q: 10. t(x) = Vx+3+4

A: Given function t(x)=x+3+4

Q: The path of cannonball is given by y(t) =-16t +160t

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Q: 6. Evaluate any 5 of the following 6 integrals. 1 dx 2+1 dr gª +1 (a) (b)

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Q: (b) (i) Write in bracket notation the sequence for the number of points in the following sequence of...

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Q: Convert the Cartésian coordinate to polar coordinates, 2T, r > U. No decimal entries and answer may ...

A: Follow the procedure given below.

Q: (10) True or False (if true, give a proof. If false, provide a counter example). • If an > 0 for all...

A: The above statement is true.

Q: 7. cos(x + y), when x = 0, y - dx

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Q: What are conjugate pairs and why are they important? Give an example of a conjugate pair.

A: Conjugate pairs - conjugate pairs are those                                      are those pairs who...