The integral dz is equal to 2e + C. Select one O True OFalse

Q: Which of the following integrals is equal to the integral / f(3x – 5) dx? 713 f(2) dz 7/3 f(2) dz -2...

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Q: Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x = 4.

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Q: I Find the second derivative (y") of the following functions and simplify the final results. 2sin x-...

A: topic - double derivative of a function

Q: 4. y=x

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Q: sinx cosx - e sinx +x The integral -dx may be written as me"sinx + px + ge* +C, where m, n, p, q, r,...

A: The integration of the integral is (cosx-esinx+esinx+x)/esinx.

Q: 2xyy'=1+y; whent = 2, y = 3 Ans. y = 5x-1

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Q: Let {an}n=1 be a convergent sequence such that a1= V5 and an+1= 5an Compute lim an

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Q: I Find the second derivativety") of the following functions and simplify the final results. 1. y= x ...

A: Differentiate with respect to x. 

Q: Which of the following is an improper integral? dx A 2x+ 8 B In(x++1) dr -1 In3e CO.X хе dx -2 D d. ...

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Q: An insurance company typically offers discounts for purchasing larger amounts of life insurance cove...

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Q: 4. Starting from the same point, Royden starts walking eastward at 0.5 m/s while Nilo starts running...

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Q: vas y dS

A: Use simple integration formula.

Q: Estimating an Angle In Exercises 7-10, estimate the angle to the nearest one-half radian. 7. 8. 9. 1...

A: Find your answer below 

Q: By u = 1+ substitution, the definite integral z(1+ z)"dr is equal to Select one: O(1-u)u"du o (u-1)u...

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Q: xcos³x² The S dx is 1-sin x? sin?x² + C {c}sin x² +sin²x² + C {D}sin x? –sin²x² + C { A} sin x² 2 4 ...

A: This question can be solved using integration by substitution.

Q: 1. Consider the curve of the function f (x) = 2x² a. Find an expression for the slope of the curve a...

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Q: t T F(x) = | In(4 - t) cos dt 9. 3 Find F(3) b. a. F'(3) F"(3). You must show your work. C.

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Q: Show that the vector field A (3x?z + y?)a,+ 2xya, + x³a, is conservative. %3D

A: Given problem:- Show that the vector field A = (3x²z+ y²)ax + 2xyay + x³az is conservative. =

Q: 1dx

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Q: The integral Cosr -e SInx sinx +x +e dr may be written as „nsinx me' + px+ ge* + C, where m, n, p, q...

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Q: Given: The local movie theater offers discount cards for movie. For Php 300, you can purchase a card...

A: Given: The local movie theater offers discount cards for movie. For Php 300, you can purchase a card...

Q: The population density r miles from the center of a certain city is p(r) = 5e 0.1r people per square...

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Q: d²y dy 30y = 0 dx2 dx

A: Given :d2ydx2-dydx-30y=0

Q: True or False Any whole number is divisible by 3 if and only if the sum of its digits is divisible ...

A: We have to find the our statements are true or false

Q: Find lak| for the series. 00 k k k + 12 k=0 (Express numbers in exact form. Use symbolic notation an...

A: The series ∑k=0∞kk+12k

Q: /(2- sec?r) eln)gsec'x (2– What should be the value of A for -dx to be integrable using the formula ...

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Q: O Use the divergence theorem to evaluate F-dS, where F (x, y, z) = zxi – e"j+ 4zk and S is the surfa...

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Q: cos2x – sin2.x cos2x - dx = -F(x)+C. What is F(x)? 3 For cosx – sinx 1 (A (sinx – cosx osx) - B sinx...

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Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

A: Solution is given below:

Q: The 26th term of a Fibonacci sequence is 121393 and the 27th term is 1916418. What is the 24th term?

A: F0=0, F1=1Fn = Fn-1 + Fn-2,  n≥2 F26 =121393F27 =1916418F27 =F27-1 + F27-2F27 =F26 + F25F25 =F27 -F2...

Q: Substitution Method (15) (x² – y²) - xy = 0

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: has the form - F(0)+ + C: What should be the value of e to make F(o)=0? The resulting integral of si...

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Q: Find the area bounded by the x- axis and the graph of the function f (x) = 4x² + 8x +1,0 <x 3. (4 II...

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Q: Sx-² csc³ () cot () dx A) csc* (?) + c B) – ; csc° (*) + c c)금 csc* (2) + C D) – csc* () + c - 12 E)...

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Q: A draining reservoir has the shape of an inverted right circular cone with a base radius of 30 m and...

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Q: Solve simultaneous equation dx/dt=x+y , dy/dt=4x+y , t=0 , x=2 , y=5

A: First I have written the differential equation into operator form and then reduce it into linear dif...

Q: Find the equation of the circle with center at (3, -7) and diameter equal to 4 points 8 units. * x? ...

A: standard form of circle

Q: 3. Solve for x: (3)*+1 = V3

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Q: A. Use the tabular method to evaluate the following limits. Set three values of x from each side. Ro...

A: Find your answer below 

Q: If cos? 0 – 3 cos 0 + 2 = sin² 0 and 0 an acute angle, then the value of (4 cot 0 + 2 csc 0) is V3 8...

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Q: 3. The surface of an island is defined by the function z = e-(x<+y²)/8 – e-2 over the region on whic...

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Q: 1. The asymptotes of hyperbola H have equations l1 : 3r-4y+11 =0 and (2 : 3r + 4y-5 = 0. Let C be th...

A: A)l1 : 3x-4y+11=0l2 : 3x+4y-5=04y-11 = 5-4y8y =16y = 23x-4y+11=03x=4(2)-113x=-3x=-1The point of inte...

Q: 15. (ez + e-z)2 dx.

A: Given: I=∫01ex+e-x2dx As we know from the hyperbolic trigonometric identities; 1). sinhx=ex-e-x2 2)....

Q: 2 ydx = 3xdy; when x = -2, y = 1 Ans. y = (x/2)3

A: Given: 2ydx=3xdy ; x=-2, y=1   We know that; ∫1ax+bdx=1alnax+b+C

Q: 7. g(t) = tỉ %3D

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: esecx+ln tanx 9. cos x

A: topic - indefinite integral

Q: Given cost and price​ (demand) functions C(q)=120q+43,000 and p(q)=−1.9q+850​, how many items must b...

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Q: 1. Sketch the graph of the following Quadratic function f(x) = (x- 1)2 -4 and find the following (a)...

A: Given Quadratic Eqaution :  y= (x-1)2-4 Graph : 

Q: d?y =6-9x and which passes through the points (0, -1) and (2, 3). Find the equation of the curve for...

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Q: Given revenue and cost functions R(q)=90q−0.3q2 and C(q)=14q+550​, find the marginal profit at a qua...

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