|(9 cos(9 x) +4 sin(4 x))dx =sin(9 x) - os Select one: True O False

Q: ,3lnx +2x4 "dx A) 3lnx 2x4 x3 D 3lnx+ 2x4 E None

A: Using substitution method.

Q: If fi f(x)dx = and f f(r)da = 1, then 6 f(x)dris O None of the others. O 18 O 12 O 2 O 10

A: A detailed solution is given below

Q: A 3" + 4) 2 +C In27

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Q: Evaluate the integral. -2x dx 19 x e NOTE: Enter the exact answer.

A: Integrate it by parts. 

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A: Topic = Algebra

Q: the points Pi(6, 3) P2(-3,-5).

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Q: -5 1 -2 0 3 4 12 -1 3 B| Find AB for : A = |1 B = 5 4

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Q: Evaluate the integral, then find 1- 3a. w – 1 dw - = w + a ln (w+ 1) + C w + 1

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Q: Differentiate the functions. a) f(x) = 1 – 6x +x7 b) f(x) = (x³ + 3)² %3D

A: a)f(x)=1-6x+27x7Differentiate with respect to x   f'(x)=-6+(27×7x6)  f'(x)=-6+2x6Derivative of f(x)=...

Q: Determne whether the hamit exitis or not when a)x3 and b) x→ -3 x²-9 when x< -3 F(x)= 9-x² when -3< ...

A: Limit exists if, LHL = RHL Limit does not exist if, LHL≠RHL

Q: 1 lim x5+(2x-3)³ 3x8

A: Given limit is not on any indeterminate form. So, put x tends to infinity directly.

Q: 1 Use the trapezoid rule and Simpson's rule to approximate the value of da with n = 4. 9 + x3 Note t...

A: Trapezoidal Rule :         ∫ab f(x) dx ≈ ∆x2f(x0)+2f(x1) + 2fx2+...+2fxn-1+fxnwhere , ∆x = b-anSimps...

Q: A manufacturer spends z thousand pesos on labor and capital. The number of units of labor obtained b...

A: We need to interpret the problem for given data.

Q: Calculate the divergence of the vector field F (x, y, z) = –10 sin(2xy)i – cos(x'y)j. (Give an exact...

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Q: The area between y = x and r-axis on the interval -1, 1 with right endpoint rectangles is O underest...

A: We need to choose correct option.

Q: csc5x cot5x dx A csc5x B esc5x 3 -csc5x 3 D csc5x E) None

A: Given  ∫csc5x cot5x dx5csc5x3    

Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. Зд 2 = sin...

A: topic - sequence and series

Q: Two concentric circles centered at O with radii r and R(r < R) are given in the picture: R What can ...

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Q: 3 1 321 A = B = 2 2 654 1 3 1. What is the size of A? 2. What is the size of B? 3. Is AXA defined? I...

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you ar...

Q: Radoc-Lactuan, I. et. al Analytic Geometry C. Show that the following sets of points belong to the s...

A: topic - coordinate geometry

Q: Compute the surface area of the solid of revolution formed by rotating the bounded region formed fro...

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Q: Does the series converge or diverge? n=1 (In 1.5)"

A: We will use ratio test to find convergency.

Q: (secx-2)dx cosx cotx cosx cotx B secx - 2 (secx - 2) 5 D) None A.

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

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Q: An inverted conical water tank with a height of 6 ft and a radius of 3 ft is drained through a hole ...

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Q: 3. Construct an angle of 65° from two straight lines and bisect the angle.

A: Construct an angle of 65 measure at O using protractor

Q: . Find the function that is represented by the series £=0x" = 1 + x + x² + ... xn . Find the functio...

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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: sec -dx = - 3 lIn sec - + tan 3 +C A True B False

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Q: Find the general solution of the differential equation: y'+4y=xy^3. Use lower case c for the constan...

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Q: Find the area of the region enclosed by the curves  f (x)  =  4x + 15 and g(x)  =  2x + 33, and the ...

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Q: B01OW is a graph of VCF) , me VOlOGIry Of an Obicot ovor timċ. OCScrioc me acceicrarion oe th& obj G...

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Q: 7–√7

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Q: Make a conjecture about the derivative by calculating the first few derivatives and observing the re...

A: Here, to make a conjecture about the derivative by calculating the first few derivatives. ddx(sin x)...

Q: (즈,-2)] ww m ie equation for this functic

A: topic - trigonometric equations

Q: 4x2 – 25 -dx Evaluate the integral: (A) Which trig substitution is correct for this integral? 5 sin(...

A: Given problem:-

Q: To evaluate Je ?" sin(e²^) cos(e²«) dx, we let u=e A True B) False

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Q: is represented by the series 2n=0X x" x2 Find the function that is represented by the series En-o= 1...

A: Topic:- sequence and series Note:- as per our guideline if more than one question uploaded than only...

Q: Question Select your answer. On which interval(s) is ƒ(x) = 2 ln(x² +x – 20) continuous? (-00, –5) (...

A: Topic:- calculus  Note :- as per our guideline if more than one question uploaded than only first qu...

Q: the given point Find the gradient of the Function at 3x² -5y2 + 2z² (1,!,-2) %3D

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Q: A balloon leaving the ground 60 ft from an observer rises vertically at the rate of 10ft/sec. How fa...

A: Given; A balloon leaving the ground 60 ft from an observer rises vertically at the rate of 10ft/sec.

Q: Consider the function f(x) = x²e12=. f(x) has two inflection points at x = C and x = D with C < D wh...

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Q: Hauata opens two bank accounts: a checkings account with balance b(t) and a savings account with bal...

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Q: Evaluate the improper integral. (Hint: use the formula: S- dr = sin- +c)

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Q: Q3. Find out values of a, b, c for which curl of vector V is zero, where V = (2xy+ 3 yz) i +(x² + ax...

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Q: 00 k k +1 k=0

A: Leibnitz's test: Let ukk∈Nbe a monotonic decreasing sequence such that limk→∞uk=0 Then the series ∑k...

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

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Q: Evaluate: thr (,5_ 3) ² dr A 2(r-3) 3 B +C 3 2(,5– 3) ? +C 15 4nr D 4.

A: This question is based on Indefinite Integral.

Q: 2. Consider the power series 1 (-1)*+1 (x-5)" 4nn What is the center ? What is the interval of conve...

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Q: Integration using Partial Fraction! dx X(x²

A: