calculate af fe and ду

Q: AnSwer O Solution 42. Show that the unit vector ð = zi + vj is not parallel to i = yi – aj for any c...

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Q: Functions f and g are defined by g(x) = v-x+4, x<4; X e R h(x) = 2e*, x20; xe R (a) Find the composi...

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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: Determine whether the series converges using the limit comparison test. 3k2 – 2k + 7 Σ 12k6 + k – 12...

A: We have to prove that the above series converges or diverges.

Q: Express the repeating decimal as a fraction. 0.2513 23 23 23...

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Q: Answer 48. The vector cũ has the same direction as ū. 49. |l0 – ü|| is the length of the shorter of ...

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Q: Question 6 (x5-x3– 6x) dx is the same as x²+2 4x dx x2+2 D 8x dx x²+2 (E F None

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Q: Assignment No. 2: Determine the derivative of the ff. functions 1. y = 6x4 + 7x3 - 8x² + 9x - 10 2. ...

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Q: Find the area of the region that lies under the graph of f over the given interval. f(x) = 2 - 2x^3...

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Q: Use the Product Rule to compute the derivative: Find d/dt ((t^2+1)(t+9)) at t=5

A: To find  ddt[t2+1t+9]    at t = 5 Using Product Rule of Derivatives

Q: Evaluate by any applicable method. 1/2 5-x So dx 4x2+1

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Q: Y= (5x1)"(4x²-) こト

A: Given that the relation between x and y.. And use the product rule of differentiation  and then simp...

Q: If f and 8 are continuous function of *, which of the following is true? A -dx%3D 8(x) None of the g...

A: From the given conditionsnone of the condition is trueCorrect option is  B) None of the given choice...

Q: Physically, integrating f(x)dx means finding the area under the curve from a to b area to the left o...

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Q: find the general solution I need answer within 20 minutes please please with my best wishes

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Q: A ball is thrown upward with a velocity of 160 feet per second. The position at any time t (seconds)...

A: A ball is thrown upward with a velocity of 160 feet per second. The position of the ball at any time...

Q: Find the directions in which the function increases and decreases most rapidly at Po. Then find the ...

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Q: (c) Determine with justification whether each of the following functions R → R is one-to-one, onto o...

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Q: Determine the coefficient of Cot(x) when we evaluate [cot(x) – csc(x)]²dx_ None of the given choices...

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Q: Use differentials to approximate the change in the BMI when weight increases from 55 to 56.5 kg and ...

A: Let's find. 

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: If F is a continuous on the set of real numbers, then STF(x)dx = T fF(x)dx A True B False

A: We can find the answer as below using the properties of integration

Q: In v3 2e" Ve2a + 1

A: I =∫0ln32 exe2x+1 dxTrigonometric substitution;ex = tan uex dx = sec2u duu = tan-1(ex)x = 0 → u = π4...

Q: 4. The two sides forming the right angle of a right-angled triangle are denoted by a and b. The hypo...

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Q: A trapezoidal trough is 10 ft long, 4 ft wide at the top, 2 ft wide at the bottom and 2 ft deep. If ...

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Q: 8r +x2 - 8x + 10 dr. 1. x²(4x2 - 4x + 5)

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Q: Determine whether the series converges. 1 =l V11k – 1 The series diverges. O The series converges.

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Q: alcuTUS and 71TIany ti 10. Use the ɛ -8 definition to prove the following limit. x2 -2x 8 lim = 6 x-...

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Q: 3 •(4y++12y²+9) * A (2y²+3)² ® (2y²+3)* © (2y²+3) D 4y4+ 12y2+9 (E None

A: We have to find solution of given integral.

Q: Evaluate by any applicable method. dx x4+1 None of the choices. Please refer to my solution. O tan-1...

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Q: H(w)= (6-5w)* 2. %3D

A: Find your answer below 

Q: Two cars start moving from the same point. One travels south at 16 mi/h and the other travels west a...

A: Given: Two cars start moving from the same point.One travels  south at 16m/h and the other travels w...

Q: of and ду of Consider the function f(x,y) = 9x' - 4y - 2. Find -

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Q: Evaluate the integral. ,2 X- + x + 1 dx o (x + 1)2(x + 2)

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Q: 7. An open rectangular box having a volume of 9 m is to be constructed from a tin sheet. a) Show tha...

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Q: Evaluate the integral. 6 dx 16

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Q: 2x +8 x2 – 12 lim x + 6

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Q: (b) Find the volume of the region D bounded in back by the plane r 0, =0, 1-y, on the top by the par...

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Q: Question 7 Sslanta 122-9) Identify the correct u A (2y²+3)2 B ® (2+3) © (2y²+ 3) D 4y4+12y²+9 E None

A: Identity the u=2y2 +3

Q: Compute the following integral problems [10x -12x -5 dr

A: Our Aim is to compute the integral given below:-∫10x9-12x3-5 dx  -(i)

Q: The velocity graph of an accelerating car is shown. v (km/h) 80 60 40 20 t (seconds) 6. 12 18 (a) Es...

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Q: du Answer FORMULA 8. S: Arcsin3x dx V1-x2 Arcsin x dx Ju" du AYCSIN X 4

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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: Use the limit comparison test to determine whether the series converges or diverges. 8k2 – 6k + 6 16...

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

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Q: P = The series converges absolutely. The test is inconclusive.

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Q: 1 dx3; 2x2-3х+2

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Q: Question 1 If 8(x) = 3x2- 4x + 5 ; G(x) =x- 2x2+ 5x , then G is the anitiderivative of f. A True B F...

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Q: The total resistance R produced by three conductors with resistances R1, R2, R3 connected in a paral...

A: Here, the given equation is: 1R=1R1+1R2+1R3...(1)

Q: Find the points on the curve y = 2x' + 3x² – 12x + 1 where the tangent is horizontal. -

A: As per the instruction, we will be answering the first question. For (51), Given: y=2x3+3x2-12x+1. N...