Find the slope of the tangent line to the curve 3z? – 2xy – 3y3 = 63 at the point (3, – 2).

Q: Solve the following initial value problem for y as a function of x dy 3+ /39 Vx² - 2- 25 = 1, x> 5, ...

A: Here we have to use the following formula 1)  ∫dxx2-25=ln x+x2-25+c2)  lnab=ln(a)-ln(b)

Q: Match each series with the test that most efficiently determines whether the series converges or div...

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Q: G. Find the derivative of the following functions using the limit definition. 1. g(t) = 2-5t 5t+2 2....

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Q: Scientists took 94 ice core sections from a glacier. Each section was in the shape of a right circul...

A: Given :Total ice core sections from a glacier=94Diameter of each section : 0.1mlength : 1 m

Q: Find the differential of the function. et e - 2 dy =

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Q: Simplify: 1+ cos 2x. 2 cot2 x

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Q: Johnson's Household Products has a division that produces two sizes of bar soap. The demand equation...

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Q: e Does the series E converge or diverge? 8n n=1 1+ e

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Q: Gravel is being dumped from a conveyor belt at a rate of 30 ft/min, and its coarseness is such that ...

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Q: Solve the following Differential equations. 3. (x-2y) dx + ( 2x+y) dy = 0

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Q: At an exhibition, the probability of visitors on the first day is 3/5. The ticket price for a visito...

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Q: х-2 Determine lim x→2- 2-V4x-x2 Your answer

A:

Q: answer

A: We will find the value of x

Q: \ x² Vx2 + 16 Evaluate the integral: 29 dx (A) Which trig substitution is correct for this integral?...

A: The objective of the question is evaluate the indefinite integral .

Q: The above is the graph of the derivative f '(x). How many critical points does the original function...

A: How many critical points of f(x)

Q: 10. Find the equation of tangent line to the graph of f(x) = 2x – x³, at the point(-1, –1). %3D

A: Find your answer below 

Q: S125 – 2² 18x? Evaluate the integral: -dx 25 – x² (A) Which trig substitution is correct for this in...

A: ∫18x225-x2dx

Q: The polar coordinates of a point are given. Plot the point. (9. ) n/2 10 7/2 10- 5 -5 -5 -5 - 10 T/2...

A: Consider the polar coordinate  9,5π4

Q: Use f(x) = 5x - 6 and g(x) = 4 - x2 to evaluate the expression. (a) f(g(0)) 25x – 30 (b) g(f(0)) -12...

A: f(x) = 5x - 6 g(x) = 4 -x2 now  f(g(0)) = f(4-x2 ) = 5(4-x2 ) -6                           =  20 -5x...

Q: Q2) A) Find the quantities for the following 6.р 12+3x 4

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Q: Before starting your studies at EHL, you need to buy new suits. Each suit is made of a jacket, a tro...

A: According to given, Total purchase= 450+560+180+240+290+85+89+96+92= 2082 Since the purchase price &...

Q: Evaluate the improper integral or state that it is divergent. (Hint: change to limit then factor the...

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Q: Select ALL possible answer/s. * On which of the following intervals is f(x) = continuous? %3D

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Q: -2 The function graphed above is decreasing on the interval The inflection point is at x = on 2-

A: Solution: Clearly by graph we can observe that  

Q: 1-cos5h Evaluate ļim h→0 cos7h-1°

A: Given, Evaluate limh→01-cos5hcos7h-1

Q: The three points P(4,3,2); Q(5,4,3) and R(7,6,5) are on the same line. Select one: O True O False

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Q: Express the general solution of the given differential equation on the interval (0, 0) in terms of B...

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Q: V. Show that: 1. [(cosx-sin x)'dx = x+ cos 2x +C 2.

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Q: Use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integral for c...

A: The correct answer will be option (B). The given improper integral will converge by Direct Compariso...

Q: Express the integrand as a sum of partial fractions and evaluate the integral. (Hint: factor the den...

A: Given:           ∫3x+17x2+9x+20dx     Applying partial fraction, we get:         3x+17(x+4)(x+5) = A...

Q: Find the horizontal asymptote(s) of the following if there are any. x3+2 y6-y2+7 1. f(x) = 2. h(y) =...

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Q: Let the demand function for a product be given by the function D(q) = – 1.55g + 300, where q is the ...

A: The demand function is: D(q)=-1.55q+300 where q is the quantity of items in demand and D(q) is the p...

Q: Let the demand function for a product be given by the function D(q) = – 1.55g + 300, whe items in de...

A:

Q: 1-cos 3x +C 3sin 3x dx 2. 1+ cos 3x

A: We have to prove given integral. 

Q: 100 4. If En=1 an converges absolutely, then n=1 an converges conditionally (C). 1 For p > 1, the ro...

A: Theorem : If the series ∑n=1∞|an| converges, then the series ∑n=1∞an also converges.                ...

Q: 00 Does the seriesE 1 converge or diverge? Give a reason for your answer. 15n - 1 n=1

A: 1P- Series Test:The series ∑1np = 11p + 12p + 13p + ...1. Covergent if p>12.Divergent if p≤12 Com...

Q: Determine whether the differential equation (2x2 - 2xy + 4) dx + (4y- + 2) dy = 0 is exact. If it is...

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Q: V tano do %3D V2

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Q: B-1 0ンエ a (( F-C)P) 3- Beta= (i-ベ) Calpha %3D Solve for P2

A: Explanation of the answer is as follows

Q: Question3: Solve the following LPP graphically and state which type solution of solution problem wil...

A: a) The graphical plot of the constraints is shown below : We observe that there is no overlap of th...

Q: Calculus Question

A: Perform integration

Q: Use the Integral Test to determine the convergence or divergence of the following series, or state t...

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Q: The area of the region lying below the straight line y 2x-4 between 3 < r<4 can be calculated by O (...

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Q: There are some sweets in a container. When the sweets are put into bags of 4 or 10, there are no swe...

A: topic - lowest common multiple

Q: Use Simpson's Rule with n = 4 steps to estimate the integral. 3 3

A: To estimate the integral ∫025x2dx with n=4. Formula used: ∫abfxdx ≈Δ x3fx0+4fx1+2fx2+4fx3+…+4fxn-2+f...

Q: Find the solution to the differential equation dB + 3B = 90, dt %3D with B(1) = 100 B =

A: We know, ∫emxdx=emxm, for any real number m.   Given differential equation, dBdt+3B=90....(i) with B...

Q: 5. The double number line diagram below represents the ratio of cups of flours to the number of eggs...

A: Ratio

Q: The solution of the following linear differential equation xy' – 3y = - is y(x) = 2x – 1+ ce¬2x y(x)...

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Q: Find the arc length of the curve x -3y3/2 from y = 0 to y = 10. Length

A: Integration √1+(f'(y)) 2dy