N) dy x dx X (1+y) y (1-x)

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

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Q: | 12 – 2 – 1 2x - (x − 1)²(x² + 1) dr

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Q: 21. Find 1² [f(x) + 28(x)] dx if [²₁ f(x) dx = 5_ and ₁8(1) g(x) dx = -3

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Q: . find f'(x) if f(x) equals the given expression. a. log (x4 + 3x2 + 1) b. log (3x2 + 2)5

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Q: The series ∞ (-10) k k! k=1 is an alternating series but we can apply the ratio test to ∞ (-10) k k!…

A: We have to check convergence of series with the help of ratio test.

Q: A basketball has a radius of 15 cm. You need to make sure that your ball can fit in the hoop. What…

A: We know that the upper base of the basketball looks like a circle therefore we will use the formula…

Q: Determine if y=5 cos x and x=31²-5t+3 dx

A: Given,             y=5cosx , x=3t2-5t+3To find : Determine dydt

Q: Given that the tangent and normal to a curve at point P(x, y) meet the x-axis in A and B…

A: It meets the x axis in A and B respectively and y axis in D and E respectively.To Find: Family of…

Q: Find each limit, if it exists. +1 (a) lim x→∞0 x4 5 (b) lim x00x³ +1 5 (c) x³ + 1 lim x→∞0 x2 - 5

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Q: Find f''(x). 1(x) = (x² + 1)² f''(x) =

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Q: Q2: find dw/dt at given value point for the following function 1 1) w = x² + y², x = cos(t), y =…

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Q: Find f''(x). 5 f(x) = (x² + 5) *

A: The given function,  f(x)=x2+55

Q: Lemon and Pepper are going sailing on the ocean today. Lemon's sailboat is 50 miles north of…

A: We have to find the distance between their sailboats changing after 2 hours.

Q: 5) Find a general solution of the equation y" - 7y' +6y=3e³x. 11 - 7y! + by = 365x - Ar + 6 = 3e³z…

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Q: Solve for the limit of the following limits functions. Write your answers in simplest forms. If the…

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Q: Question 1 Select all of the following graphs which represent y as a function of a. 4 U n J n U fest…

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Q: 1 Use the inverse matrix -5 5 x + y + Z = 0 5x + 7y + 6z = 4 5x + 8y + 7z = 2 (x, y, z) = = ( 1 -1…

A: Given the inverse matrix is  11-1-52-15-32. The system of linear equations is…

Q: At noon, ship A is 40 nautical miles due west of ship B. Ship A is sailing west at 15 knots and ship…

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Q: Let ƒ(x) = 4x² + 3x³ +9. Find the equation of the line tangent to the graph of y = f(x) at the point…

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Q: Question 7 of 8 View Policies Current Attempt in Progress Find the limit. NOTE: Enter the answer…

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Q: 12 If [" f(x) dx = 19 and ' [₁ f(x) dx [R²F(x) f(x) dx = 4, find the following.

A: We can answer the question as below using the properties of definite integral.

Q: Find the laplace transform of ƒ (t) = 6t³ + 4t² – 3 OF (s) -3s³ +8s+36 84 OF (s) 36s³ +88-3 84 OF…

A: A detailed solution is given below.

Q: B) Estimate the next root of the function f(x)=x^3-x-1 using Muller method, let x0=1, x1=2, x2=1.5

A: Muller method: The Muller approach is applicable to any root-finding programme, but it is especially…

Q: Find the area of the triangle below. Carry your intermediate computations to at least four decimal…

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Q: Convert the point from cylindrical coordinates to spherical co (3,2,0) (p, 0, 4) = || X

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Q: Given s(t)=31²+12t, where s(t) is in feet and t is in seconds, find each of the following. a) v(t)…

A: The solution is given below

Q: b. √ ( 3 √ √x + ²) a dx

A: The given integral,      ∫3x+1xdx

Q: f(x) = 2√3 x, g(x) = 2x − 4, y h(x) = 3x3. Encuentra el valor de cada expresio ́n. (a) (f ◦ g)(7),…

A: Given query is to find the value of the indicated function.

Q: Evaluate. (Be sure to check by differentiating!) 6 7 STOCK *XX=-=-= dx, x# 7 + 6x 6 6

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Q: A golfer hits an errant tee shot that lands in the rough. A marker in the center of the fairway is…

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Q: Q2: find dw/dt at given value point for the following function

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Q: Find each limit, if it exists. (a) 6 - 7x lim x-00 6x³2 (b) 6-7x lim x→∞ 6x-2 6-7x2 (c) lim 6x - 2…

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Q: If f(x) = sinx and g(x) = cosx, then what is the relation between g'(x) and f""(x)?

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Q: f(x) = t^2(t - 7)^1/3.   Find all critiacal points and all relative maxima

A: Solution is given below:

Q: An isoceles right triangle with legs of length s has area A=1/2s^2.  At the instant when s=sqrt 32…

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Q: limn o 9-h-3 h 1 6

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Q: 6. Using a double integral, find the area that is inside the region bounded by r = 3+2 sin and r =…

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Q: Fill in the blank. y = 6(4) can be written in terms of base e as y = 6(4) can be written in terms of…

A: First I have written the equivalent logrithmic expression for any function and get the desired…

Q: Differentiate the function. 10u + 100 G(u)=1n₁ 10u - 100

A: We can differentiate the function as below.

Q: Find the​ producers' surplus at a price level of p=​$70 for the​ price-supply equation below.…

A: Given problem:- Find the​ producers' surplus at a price level of p=​$70 for the​ price-supply…

Q: Given sin(a)= -and a is in quadrant IV and sin(B) = and π/2 <B<T. Use sum and difference formulas to…

A: Given sin(α) = - 8/9 and α is in quadrant IV and sin(β) = 5/8 and π/2&lt;β&lt;π Use sum and…

Q: x² +9+√√√y²+1=5 max x + y

A: Given problem:-

Q: Find the future value of a $30, 000 annual income stream if it is invested immediately as it is…

A: Solving the problem by finding the value of compound interest.

Q: d d Calculate[ri(t) r₂(t)] and [r₁(t) × r₂(t)] first by differentiating dt dt the product directly…

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Q: Round your answer to four decimal places, if necessary. Approximate the area under the curve on the…

A: We have to find the area by right endpoint rule.

Q: Which value of az is NOT in the domain of the function G(z) - = 28 12-25 -?

A: Use the definition of domain  to find the value of x

Q: du u+√4u² - 1

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Q: Find lim h(x), if it exists. f(x) = 4x² + 2x + 6 (a) h(x) lim h(x) = (b) h(x) = lim h(x) = (c) h(x):…

A: We have to find the following conditions according to the given information

Q: Find the critical points of the function f(x) = x² - 25 x² + x - 30 Use a comma to separate multiple…

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Q: 5. Use spherical coordinates to evaluate [[[ (x² + y² + 2²) ² dv D where D is the solid hemisphere…

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