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Q: 2/3 Consider the function f(r)--7(x--3)**. For this function there are two important open fntervats:...

A: We need to find the Critical points of  f(x)=-7x-323

Q: The masses m; are located at the points Pi. Find the center of mass of the system. 5, тз mị 7, т2 6....

A: Given that m1=7, m2=5 and m3=6Also, P1=(6,1), P2=-3,7 and P3=4,2Our Aim is to find the center of mas...

Q: Find the area of the region that lies under the graph of f over the given interval. Please solve usi...

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Q: y^2+x^2y'=xyy' solve using homogeneous equation diff eq

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Q: " sin²(x) + sin(x) xp- cos²(x) To evaluate the using basic formula of integration (without using sub...

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Q: For each of the following vector fields, find its curl and determine if it is a gradient field. (a) ...

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions specify...

Q: 4. у %3D х6 - 3x + 5x2 7 2 4 6 8 5. у %3D (x + 10) (2х - 5) 6. у %3D (x3 + 1) (3x2 - 1) 7. у %3D 5x ...

A: 4)y=x62-3x44+5x26-78Differentiate w.r.t.x using power rule.dydx=6x52-3*4x34+5*2x6-0dydx=3x5-3x3+53x

Q: 41. If f(x) = x²/(1 + x), find f"(1).

A: 41.f(x)=x21+x

Q: Consider the functions z = -8 ex In y, x= In (u cos v), and y =u sin v. dz as a function of u and v ...

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Q: sect tan Od0 Identify the cose correct u A tane B sec® (c) sec²0 D coso E None

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Q: Which of the following sets of forces acting on an object could not be in equilibrium? O a) 4 N, 4N,...

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Q: 1. The expression 16x? – 25y? is equivalent to: A) (4x – 5y)? C) (4x – 5y)(4x + 5y) B) (16 – 25)(x? ...

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Q: 9. Prove the following algebraic identity: (a - b)(a? + ab +b?)=a' -b'

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Q: 3- Determine two functions g(x) and h(x), neither of which is constant, so that f(x) =f(x) = g(x) 0...

A: The two functions, gx=x2+1x2-1 and hx=x2+1x2+2 such that fx=x2+1x2-1x2+1x2+2. The function is constr...

Q: 10. If 72% of a certain quantity is 162, find the quantity. Ans. 225 11. If 16% less than a certain ...

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Q: Evaluate using the Reimann Integral: L, (2a? + 3) dæ O -21 O 15 None of the choices. Please refer to...

A: I have stated the used formula in the solution

Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

A: We have given∑k=0∞(67)k+3

Q: ermine the slope of the normal to f(x) = / 2r' – 18 at x = 3? %3D

A: Please refer to the image below

Q: 6. Se¯*tane¯*sec?e¬*dx

A: To evaluate: I=∫e-xtan(e-x) sec2(e-x) dx=∫tan(e-x) sec2(e-x) (e-x)dx...(1)

Q: sect tan³Od0 cos® tane B sec® sec²0 D cose E None A)

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Q: The total cost of producing x items is given by C(x) = 246.73 + 5t dt. Find the fixed cost and the m...

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Q: The mean daily maximum temperatures at Komakuk Beach, in the Yukon, were recorded for aach month fro...

A: As per our guidelines, we can answer only three sub-parts in a single request. Kindly re-post the ot...

Q: Consider the function f() For this function there are three important intervals: (- 00, A, [4, B, an...

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Q: Find the indefinite integral. sin 60 v cos 60 de Step 1 To solve the integral | sin 60 v cos 60 d0, ...

A: We can solve the indefinite integral as below.

Q: x3 - 4x2 - 7x + 10. Factorize the function f (x) to solve the equation f (x) = 0

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Q: f (x, y) = 5ye" – e5x – yð

A: for critical points equate the first derivative wrt x and y to zero.  

Q: 10. Do the required operations and simplify. State any restrictions. (x+1)? (x-1)2 a x2+2x-3 x2+4x+3...

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Q: For what values of x does the graph of f(x)=2x^3−3x^2−36x−3 have a horizontal tangent line? Answer(...

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Q: An artist has decided to finish their piece of artwork by balancing it on a fulcrum and putting it o...

A: We need to find co-ordinates of centroid.

Q: Determine whether the series converges; if so, find its sum. Otherwise type N in the blank. k(k + 2)

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Q: 9. S e*(3 – 2e?)²dx

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Q: Ans. 15, 22, 30 6. In a triangle, the smallest angle is half of the largest angle and the other angl...

A: In a triangle, the smallest angle is half of the largest angle and the other angle is 8 degrees larg...

Q: the following equation. N(t) = 1.1375t2 + 0.25t + 4.6    (0 ≤ t ≤ 4) Here, t is measured in years, w...

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Q: Write the first five terms of the sequence, give the exact answer: n n + 13 n=1 Determine whether th...

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Q: Eliminate the arbitrary constants. Show your solution

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Q: Determine whether the series converges; if so, find its sum. Otherwise type N in the blank. 1 Σ k(k ...

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Q: x2 - x +1 When you evaluate: dx The sum of the coefficient of X" for any constant n>0 is

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Q: Use the difference a+1 – an to show that the given sequence {an } is strictly increasing or strictly...

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Q: 15* – 4* lim sinx O In(60.00) O In(3.75) O In(11.00)

A: Solve the given limit question

Q: Consider the following sequence: ta) - { (-1)+1 {a,} n2 n=1 (a) Write out the first five terms of th...

A: (a) Given: sequence is <an>=-1n+1n2n=1+∞and can be expressed in the form of set as,<an>=...

Q: Find the two values of k for which y(x) = ek* is a solution of the differential equation y'' – 15y' ...

A: The given differential equation,      y''-15y'+50y=0

Q: 3z dz; (1-4z-2z²)= 3z 3z dz 3 – 2 (z + 1)² dz [3 – (z + 1)²]² D Option 1 Option 2 3z dz 3 - (z + 1)²...

A: Topic:- integration   

Q: Find the area of the region that lies under the graph of f over the given interval. Please solve usi...

A: Topic:- application of derivatives

Q: – ydx + (x ++ Vy )dy = 0

A: Given that Diffrancial equation-ydx+x+xydy=0Solution:-ydx+x+xydy=0x+xydy=ydxdxdy=x+xyydxdy=xy+xyydxd...

Q: (b) Find 7, T, N, and B at the given value of t for F(t) = (cos t)î + (sin t)ĵ – k, t=. 4

A: According to bartleby guidelines I can only answer the first 3 sub questions of the given problem. 

Q: Let f (x) and 8 (x) be antiderivative of h (x), The which of the following is true? A None of the gi...

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Q: The graph of the function g(x) contains the point (5,1/3). What point must be on the graph of y = 3g...

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Q: 4. Find the derivative of f(x) =x' +1

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Q: A camera is on the ground, filming a rocket launch. The rocket is rising according to the position f...

A: The rocket is rising according to the position function y=30 t2, where y is measured in feet and t i...

Q: 1. Sketch in the xy - plane the domain of each function : (a) ƒ (x, y) = (Vx – 1+ Vy +1) · In (x² + ...

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