In evaluating dx , is same as evaluating lim (In(f(x))). Determine the value of f(x) if x=4.6. C-3+ x²

Q: Use the one-to-one property of logarithms to find an exact solution for   ln(2)+ln(2x2−6)=ln(69)…

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Q: 1 S²₁x² ex³ dx 1

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Q: Function Point f(x) = tan² x 4 (a) Find an equation of the tangent line to the graph of -4x-T+1 X…

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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: Find the length of the arc of a circle of diameter 1010 meters subtended by a central angle of π4π4…

A: Solution ) diameter - 1010 m , angle = π/4 Radius =  1010/2           = 505 m length of arc of…

Q: Power series 2. √n+2 n=o Limit Comparison Test to show that the se=

A: Given is       power series ∑n=0∞(-3)n(x-2)n(n+2)when x=53∑n=0∞(-3)n(x-2)n(n+2)=…

Q: The function f is graphed below. State the values that fulfill the following requirements. If there…

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Q: Using Trapezoidal method proper rounding off).64 √√x dx for n=4 is equal to Blank 1 (use 2 decimal…

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Q: Solve what is asked in the following problems. Write your solutions and box your final answers 1.…

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Q: d the area of the surface obtained by rotating the line y = 19x + 6 about the x-axis from point…

A: Topic:- application of integration

Q: Consider the system: a) show that [3t+4] =-2t+1 4 Z t-1 b) golve (*) with the initial condition.…

A: Solution

Q: In evaluating S₂²² 2 dx 2 XV x²-4 is same as evaluating lim cos-¹(f(x)). Determine the value of f(x)…

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

Q: Find a system of linear equations corresponding to the augmented matrix. 505 65-5 069 x₁ + i x1+ X₁+…

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Q: -3 1. f³² (x³ + x)dx

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Q: Question 11 Find the determinant of the matrix, A 2-13 B 2²-12λ + 13 C 22-122-13 D 2²+12+13 2-11 4 ]…

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Q: The following chart shows student population in a certain elementary school over a 5 year period.…

A: topic- average rate of change

Q: - 2500q, what cost is incurred when marginal profit is $0? Given Cost and Revenue functions C(q)…

A: In this question, we need to find the cost when the marginal profit is $0.

Q: 5. f sin x cos x dx

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Q: Using Simpson's method 2 x³dx for n=4 is equal to Blank 1 (use 2 decimal places with proper rounding…

A: The Simpson's 1/3 rule for integration is given by, ∫ab f(x)dx≈Δx3f(x0)+4f(x1)+2f(x2)+4f(x3)+2f(x4)+…

Q: b iff and g are continuous on [a,b] and f(x) z g(x) for all x E[a,b], then f(x) dxz g

A: SOLUTION-

Q: In evaluating Add your answer 2 dx is same as evaluating lim cos-¹(f(x)). Determine the value of…

A: Given problem:-

Q: ven than L [₁ f(x) da = 7 and [° f (x) da : ^ [ f(x) dx = [₁ f (x) dx - [* f (x) de da A BIf If f(x)…

A: We can answer the question as below.

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

A: This question can be solved using the relation between second derivative and concavity of the…

Q: Question E.) 36 Al 2+3^ 3^ +4^

A: Explained below

Q: where a represents the number (in thousands) of ten-packs demanded each week when the unit price is…

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Q: State the domain, vertical asymptote, and end behavior of the function.   g(x)=ln(2x+12)+1.8…

A: This question is related to Functions, we will solve it using given information.

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: To integrate x3x² dx' Ox хех2 242 x² OX we apply integration by parts and in the form u dv, dv is…

A: We have to determine the integral

Q: Which of the following functions have a 4th derivative different from itself? 0x4 ex sin x COS X

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Q: Which of the following is not true? (A) None of the given choices 3 dx dx Ⓒ = S B S³ = In(x²) lim c→…

A: All Option are  correct So we have to choose Option 'A'

Q: Which of the following is not true? 5 C dx dx Ⓒ Im √² 250x² A S lim o 25-x² o c-5- ₂3 3 dx dx (B) √₂…

A: We have to find the solution

Q: cos(x3 (A) True B) False dx=0

A: Here, x6cosx3 is an even function. So, ∫-11 x6cosx3dx≠0.

Q: 2. Given f(x, y) = 12x2x³ + 3y² + 6xy. (i) Find critical points of f. (ii) Use the second derivative…

A: To find out the critical points of f.

Q: 1. fx³ In x dx

A: Evaluate the integral equation by integration by parts .

Q: Find the determinant of the matrix, O22-122-13 O22-12A +13 O²+12+13 02-13 2-11 4 6 2-1

A: Topic = Determinant

Q: Find the transition points. y = 2x6 =18x4 (Use symbolic notation and fractions where needed. Give…

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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: Derive the following function 7.y=sin(tan sin2x)

A: As per bartleby guidelines we only give first question answers.

Q: 18. f (x+9)dx x²+6x+25

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Q: I. Find the sum of the following convergent series. lim = 348 lim lim 846 Σ [tan² (2n-1) - tan²¹…

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Q: dx 8. √√√√x+√√x

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Q: Find the indefinite integral: 10sin 3x - 15 cos 2x + 6 e5x + C O 90sin 3x -60 cos 2x + 150 e5x + C…

A: 30∫cos3x+sin2x+e5xdx=30· ∫cos3xdx+∫sin2xdx+∫ e5xdx=30·…

Q: Evaluate the definite integral number 3 using substitution

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Q: If f is continuous on [a,b], and f(x) > 0 then b [²√f(x) dx = a √5°₁ S f(x) dx

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Q: Question R is the region bounded by the functions f(x) = -and g(x)=-. Find the area A of R. Enter an…

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Q: olve for the general solution using the Power Series. The answer was ready given, you just have to…

A: Please see the below picture for detailed solution.

Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

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Q: 6. f In² x dx

A: Topic = Integration

Q: ²) S₁₂ x ² √ x²+1 dx St 2)

A: The given integral is; I=∫07xx2+13dx   ....(1) As we know the Power Rule: ∫xndx=xn+1n+1+C

Q: a. Solve 2 cos(2x) = √2 for x

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