5.12 7 ln 3x dx X

Q: 2. f x cos² x dx

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Q: xdx √2x-1 1.5.

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Q: 2 2. cos² ydy 1+sin y

A: The given integration is: I=∫cos2y1+sinydy   We know the common integral. ∫sinxdx=-cosx+C

Q: y = sin² (3x)

A: Topic = Derivative

Q: A tumor is injected with 0.820.82 grams of Iodine-125. After 1 day, the amount of Iodine-125 has…

A: I have appended the formula used in the solution part of the question

Q: Find the length of the arc of a circle of diameter 10meters subtended by a central angle of π/4…

A: Given:  diameter =10meters

Q: 92%/ the first three terms in the malam Series of the funtion. f(x) = cos 22

A: We have to find the first three terms of the series.

Q: Arrange the choices in order 1,2,3.. to prove: For any sets A, B and C Ax (BUC) = (A x B) U (A x C),…

A: SOLUTION-

Q: 200 J + Corxiy_Tanx sinx dy

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Q: 1 2 3 4 5 ements below that you agree with. be checking more than one box. No partial credit.…

A: Topic:- calculus

Q: n j=11 (j + 2)² = E first step 2nd step 3rd slep 4th slep final answer

A: The given summation,         ∑j=11nj+22

Q: dx 17.S (4x²-9)3/2

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Q: Evaluate √x² + x + 2 dx x²-1 x+1 In: +C (x-1)² 0₁ (x-1)² In- + C x+1 O x + 1 (x-1)² (x-1)² x+1 X+…

A: Solution is here

Q: Using Trapezoidal method spaces) 1 2 dx for n=4 is equal to Blank 1 (use 2 decimal places with…

A: Given problem:-

Q: In evaluating 4 2 dx X√ X²-4 is same as evaluating lim cos ¹(f(x)). Determine the value of f(x) if…

A: We have to find the value of f(x).

Q: s={ 3112 4'2'3'9' =(5, 5.5, 6, 6.5, 7, 7.5,...} = {√2,2√2,3√2, 4√2,...} ={√2,2,2√2,4,...}

A: Topic:- sequence and series

Q: Solve the differential equation: (2x - 4y - 3)dy=(x-2y)dy

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Q: Find the transition points. f(x) = x(11-x)1/3 (Use symbolic notation and fractions where needed.…

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Q: - nsider the function f(x) = 2x³ + 3x² – 36x - 54. a. Find the first derivative. f'(x) = b. List any…

A: Topic:- calculus Note :- as per our guideline if more than three subparts posted than only first…

Q: C Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that…

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Q: 4. 53-10x dx

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: * 5.8x √4x²+5 dx 2(4x²+5)³/2 A. +C 3 O A. OB. O C. * 6. f 35x-1 A. 35x-1 In 3 O A B 5x-1 dx C + C…

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Q: 4. Find the area bounded by the given curves:y² = x + 4, x - 2y + 1 = 0

A: Answer is given in next step.

Q: ind A or each of the following intervals, tell whether f(x) is increasing or decreasing. -∞o, A):…

A: Topic:- calculus

Q: Let F(x) = f(x¹) and G(x) = (f(x))¹. You also know that a = Then F'(a) = = 12, f(a) = 3, f'(a) = 4,…

A: Fx=fx4 and Gx=fx4a3=12, f(a)=3, f'(a)=4, f'a4=7

Q: 9. f(x³ - 4x)dx -3 (x²-1) dx 10. ₂

A: We have to find the integral

Q: f(x)= log (x-2) f(2.1)= log(2.1-2)= log 0.1 = -1 X 2.1 5 8 10 15 15)- 20 25 (20) 164 13 (x, f(x))…

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Q: Consider the sequence -13, -3, 7, 17,.. 10n + 7. ...9 a. How many terms are there in the sequence?…

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Q: Given the function y=f(x), y" is found to be negative over the interval (4,8), then over this…

A: Answer is given in next step.

Q: Find the transition points. y = 3x7 - 42x6 (Use symbolic notation and fractions where needed. Give…

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Q: Find the line integrals of F = 4yi + xj + zk from (0,0,0) to (1,1,1) over each of the following…

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Q: 1. Prove that (a) A\B=A\(ANB) (b) A\(B\C) = (A\B)U(ANC) (A\B)\C=A\(BUC) (c)

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Q: Iff is continuous on [a,b], then rtf(x) dx = π f(x) dx 1 A True B) False

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Q: To integrate 3x² e4² ΟΧ dx' we apply integration by parts and in the form u dv, u is set as:

A: ∫x3ex2dxTo do integration by parts we have to get it in the form ∫fg'

Q: Find the indefinite integral: A X+X+C B x³ + x² + c с x5/5 + x²/2+c D 5x5+2x²+c Sx(x³ + 1)dx

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Q: ,1 x² - 4x⁹+ A) True B False sin(x) (1+x²)² |dx=0

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Q: 1) Solve the following y'z 9²² x + 2 ex-a Intial value problems. y (9) 24 y² = x²-wsx, y² (0) = 2, y…

A: We need to solve initial value problem. As per Bartleby's guidelines we can solve one question from…

Q: Does the follewing finile & Series ooveryor dinerge E T $ (Inn) N-2

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Q: If f is continuous on [a,b], then [a,b], then A) True B) False [ f(x)dx = πf f(x) dx

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Q: Suppose a population of fruit flies changes at a rate of g(t) = -3e0.01, in flies per day. If the…

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Q: Evaluate cos (1/4) places)

A: cos(x)  We know that, we have a power series for cosine function,  cos(x) = 1-x22!…

Q: 3. Given that 2 = 6²¹ sin (u + ), e2v Use chain rule to find az/0x when x = 0, y = 0. u=e¹ - sin (y…

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Q: = - - 6q² + 700q, where R(q) is in dollars and q Suppose a product's revenue function is given by…

A: The revenue function is given by , R(q) = -6q2+700q

Q: [₁ f(x) dx = 7 and f (x) da = -5, which of the following is NOT TRUE 3 3 [²ƒ (2) da − ³ ƒ (2) da =…

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Q: For the function y =f(x), it was found out that f"(c) = 0. What can be said that x=c? O critical…

A: We can find the answer as below.

Q: Proving by Mathematical Induction A. 1. If P(2) = 1·3+2+4= 2(3) (11) 6 2. Prove that P(n) is true…

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Q: below F(x) = 1.) lim f(x) = X-3 x-3 x² +1 4x + 5 2x² - 1 if x 3 2.) lim f(x) = X-0

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others part as…

Q: For the given function f(x,y)=x²y³+3x³y, find a flax O 2xy³+9x² y O 3x²y²+3x³ O 6xy²+9x²

A: Given f(x,y)=x2y3+3x3y∂f∂x=∂∂xx2y3+3x3y

Q: g(x) = 3 ln(x - 2)

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Q: SINE LAW * A civil engineer desires to measure the height of a tower observing a vertical angle at…

A: We need to use sine law.