True or False Any whole number is divisible by 3 if and only if the sum of its digits is divisible by 3. 1/x > 0 if and only if x ≥ 0. 2 is a prime if and only if 7 is even.

Q: What is the integrable form of / sin-c cos-sin@ do? 2 -2 | sinu du 2 | cosu du 1 – u² du u² – 1 du

A: In this question we have to find Integral form of the given Integral.  

Q: etermine the form that would make f sin () cos () sin(0) de

A: We have to determine the form of the given indefinite integral

Q: The integral of (10*/ cos 10*)dx may be written as A ln | sec B* + tan B* | + C. Where A, B, and C a...

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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. O 21/2 square ...

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Q: A. What would be the initial population of the mosquitos colony? B. What is the population of the co...

A: Substitute x= m in the equation to get p(m)

Q: c). Classify the equation below with all the possible characteristics and properties of a differenti...

A: General form of Linear differential equation of first order and first degree is given by dydx+yP(x)=...

Q: 2 Find the area of the region bounded by the curve y2 =4x and the lines x = 1 and x = 4. A. 24 squar...

A: Given y2=4x X=1 and x=4

Q: Diberi persamaan parametrik bagi satu lengkuk adalah The parametric equations of a curve are x = In ...

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Q: Peter likes to drink coffee once its temperature reaches 60 degrees Celsius and will not burn him. I...

A:   note : i can ans 1st and 2nd part and remaining part not related to this question so pls reroute i...

Q: cos2x- sin2x cos2x For dr=-F(x)+C What is F(x)? COSX sinx 1. (sinx COSX O (cscx x – secx) ³ CSC) cos...

A: We have to find F(x) by indefinite integral

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: Here we have to find the unit vectors.

Q: Find all critical points of the function f(x) = x-15 – x-16. (Use symbolic notation and fractions wh...

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Q: 1. Complete the following tables of values to investigate lim(x² – 2x + 4). f(x) f(x) 1.6 0.5 1.35 0...

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

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: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j...

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Q: S- 10* -dx may be written as Aln secB*+ tanB*| + C, where A, B, and C are constants not equal to zer...

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Q: cos2r – sin2x cos2r For -dr=-F(x)+C_What is F(x)? cosx – sinx 2 sinx + -cosx +cosx+ =sin³x 3 3 O (cs...

A: We know that,  Int(sinx)=cost Int(cosx)=-sinx

Q: Differentiate y = 4sin (x) + 11x and evaluate y (0). Enter the value y (0) in the box and upload you...

A: topic - derivative of a function

Q: Obtain the particular solution satisfying the initial conditions indicated.

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Q: dx Evaluate 3x – 12 O 1 O + 00 8

A: To evaluate the integral.

Q: Question 8 The antiderivative of f (x), which is F (x), exhibits an odd symmetry, i.e., it satisfies...

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Q: What is the integrable form of dx? du u2 du np u²) 2 du

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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: e In (xle ) (2– sec²x) sec(3A – x) sec³x dr What should be the value of A for to be integrable using...

A: integration by substitution method 

Q: S(3x* – 5xP +x=³)dx.

A: Given query is to find the integral.

Q: 19 (a) Solve In(2r)-3 In(z) 0 for r. (b) Use the following table to find the value of z from 7a-2- 1...

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Q: What is partial fraction decomposition

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Q: 10. Find, among all right circular cylinders of fixed volume V, the one with smallest surface area (...

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Q: Suppose that replacement times for washing machines are normally distributed with a mean of 8.6 year...

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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: What is the integrable form of sin-cos-sin0 do? 2 2

A: SOLUTION-

Q: 21 Which of the following integrals is equal to the integral | s(3x - 5) dx? (A zp (2)/ 7/3 (B) s(:)...

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Q: dx 14. Evaluate Зх — 12 A.ο В.1 00 D.0

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Q: Use implicit differentiation to find an equation of the tangent line to the graph of the function at...

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Q: The integral of the function below may be written as men sin(x) + px + qe"* + C. Where m,n, p,q,r an...

A: To find the value of m+n+p+q+r , we need to evaluate the given Integral then compare it with the giv...

Q: d²x dx + k?x = 0,k is real number; when t = 0,x = 0, = vo. dt dt2 vo sin(kt) ANSWER: X k

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Q: esecx+ln tanx 9. cos x

A: topic - indefinite integral

Q: 4) 98)=(40*– Bu) 5 %3D -

A: Given that      g(u) = (4u7- 8u)-5

Q: 25. For the function f(x) = 45x3 - 3x5, determine the interval(s) for which f(x) decreases. O (3, 3)...

A: We will solve this question by  differentiating f(x) and then finding the intervals for which the fu...

Q: 2x 5х-3 + 3x 12 2. 4x2 – 16 > 0 (-0, 2], [2, c∞0)

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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. A 21/2 square ...

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Q: If the brakes on a car give the car a constant negative acceleration of 24 m/s2, where is a positive...

A: we have to use the newtons equation of motion here. let us assume that the initial speed of car be u...

Q: u = 2i + 3j + k v = i+j+ 4k w = i+ 3j + 8k

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Q: b. d xP +C. What is the value of the sum a The general antiderivative of (3x2-4) 2x2 can be written ...

A: ∫(3x2-4)2x2dx=∫(9x6-24x4+16x2)dx                             =97x7-245x5+163x3+c

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

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Q: What is the integrable form of dx? e* – e -> S(u?- 1) -12 du du 2 du

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Q: x2 and the x-axis. Find the area of the region bounded by the curve y=1-

A: SOLUTION-

Q: Profit of a Vineyard Phillip, the proprietor of a vineyard, estimates that the first 10100 bottles o...

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Q: The integral of the function below may be written as me" sine) + px + qe* + C. Wherg. m,n, p, q,r an...

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Q: diverges, Determine if whether the converges sequence it's limit it Converges state a), 5 (I +

A: 1)an=1+1n9limn→∞1+1n9limn→∞1+1n9limn→∞1+limn→∞1n9(1+0)9 =1limn→∞ {an} exists and is finite.Hence, t...