Integrate the following functions f(x)=Ln [sec (x)] [², 3]

Q: 1 -dx= 4 -2 X A True B) False m 100

A: True or false ∫-211x4dx=-38

Q: Which of the following is not true? A √ in(x²) dx = lim_²in(x²) dx А ₂3 3 dx dx B S²³² √₁ In(x²)…

A: Just use the definition of improper integral of first and second kind and find the required…

Q: Q2: Find Maclaurin series for the function f(x) = (4-x) (four terms only), then find the error…

A:

Q: A projectile is fired vertically upward with an initial velocity of 210 m/sec from a point 2 m above…

A: projectile motion

Q: Given f(x,y) = ex cos y, Evaluate fx(2,0)

A:

Q: Which of the following is not true? 5 dx dx (A) lim S o 25-x² c+5-0 25-x² 3 dx dx So in (x²) B √₁…

A: We have to determine integration

Q: Q1: convert the Integral 1-X fydx to the polar coordinates.

A:

Q: Why did you take f'(x)=0 and from them I didn't understand, can you explain it a bit, its really…

A: We have to explain the term f'(x)=0.

Q: -3 1. f³² (x³ + x)dx

A:

Q: Solve the differential equation: (1+x3)dy - x2ydx=0; y(1)=2

A: Solve the differential equation: (1+x3)dy - x2ydx=0; y(1)=2

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: Which of the following is not true? ,5 Ⓒ √√² 25²x x² = 11m -√² 25-4x2² dx dx A lim o c+5-0 3 3 dx dx…

A: We have to find out the option

Q: THE AREA BOUNDED BY THE PARABOLA y² + x - 2y = 1, THE X-AXIS, AND THE REVOLVES ABOUT THE LINE LINE…

A:

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

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

Q: Write z₁ and 2₂ in polar form. Z₁ = -40, Z₂ = √√3+1 Z1 = Z2 = Find the product z₁z2 and the…

A: The given complex numbers,   z1=-40, z2=3+i

Q: Find the indefinite integral: O x4+x+C Ox5/5+x²/2+c O x5 + x² + c O 5x5+2x²+c Sx(x³ + 1) dx

A: Given ∫x(x3+1) dxTo evaluate the integral:

Q: The paraterized curve below is rotated abour the x-axis. Find the area of the surface. x = cos³ (0)…

A:

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: Solve for x. O-1,-4 O -1,4 O 1,4 O 1,-4 x-1 3 2 x-2 =0

A: Given,      x-132x-2=0

Q: A sphere has a diameter whose endpoints are Pi₁(3, 2, 1) and P₂(-1,-4,-4). Find the equation of the…

A: We will solve the problem

Q: Which of the following is not true? A None of the given choices .3 dx dx S₁ in (x²) B lim S c+1+³c…

A: Let's solve.

Q: Z2 = Z1 Find the product z₁z2 and the quotients Z2 Z1Z2 = Z1 Z2 1 Z1 = II and Z1 (Express your…

A: As per the guidelines we can solve 3 problems only.

Q: Given than [ f(x) dx = 7 and S. -2 (A) [₁ f (x) dx - [³ f (a) dx = -10 B) None of the given choices…

A:

Q: Given than f(x) f²f(x) dx = −4 and Ⓒ [ƒ (2) de- f (x) dx = 20 (A) f dx [ B [²] ƒ (x) dx − [ª* ³ƒ (x)…

A: To find out the option which is not correct.

Q: How long did it take for an investment of $25,000 to grow to at least $28,000 at 2.75% compounded…

A: Given: A = $28000 P = $25000 r = 2.75% We know the quarterly compound interest formula as A=P1+r44t.…

Q: [²(x². x7-4x⁹+ (A) True B) False sin(x) (1+x²)² dx=0

A: We have to find the solution

Q: Find the area enclosed by r = = √2 sin 0 and r2 = cos 20.

A:

Q: In evaluating 2 dx 5₂₁²= is same as evaluating lim_cos-¹(f(x))|c. Determine the value of f(x) if…

A: Derivative of cos(x) = - sin(x) We have to find the value of f(x) at x=0.96

Q: A B C d Using integration by parts, Then k is? (a)-1.5136 5²x² ²x³ cos (x²) dx = k - S²x - [*x…

A:

Q: 9. y(y² + 1)dx + x(y²-1)dy = 0 Ans: + xy = c

A:

Q: 7 x = R¹, ƒ(x):=· + 3√x² 1-x 1+x² +ea² +1 +π².

A: see below the answer and calculation

Q: Using Trapezoidal method √x²dx for n=4 is equal to Blank 1 (use 2 decimal places with proper…

A: SOLUTION-

Q: 7. Find the points on the curve y=-x where the tangent line is parallel to the line y= 3x

A: The points on the curve y=x33-x where the tangent line is parallel to the line y=3x

Q: 2. Evaluate the limit assuming that lim f(x) = 3 and g(x) = 1. HI-4 (a) lim f(x)g(x) #114 (b) lim…

A: Given problem:-

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 =…

A:

Q: If fx √1- x4 dx = ge ½ A B 0 C D) 1 H|2 H|4 g(e) de, then 9

A: We can solve the given integral by using substitution.

Q: Find the value of C so that the function is a density function. f(x) = [Cx¹ if 0≤x≤ 9 10 otherwise

A:

Q: Question 2 Iff and g are continuous on [a,b], then t True B) False in √ [f(x)g(x)]dx = {√°f(x)dx)(√°…

A: Given that f and g are continuous function on [a,b].

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…

A:

Q: Use Figure 1 to evaluate each trigonometric function of angle A. The side adjacent to angle A has…

A: Given: Now, we find the mentioned ratios. sin A=662+102=6234=334cos A=1062+102=534tan A=610=35

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

A: It will solve by part method integration  ∫u v dx = u∫v dx −∫u' (∫v dx) dx u is the function u(x) v…

Q: Let r(t) = sin(t) and y(t) = 1- cos(t) All answers should be decimals 0.5 rounded to 2 decimal…

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Q: S√4t² + 3 dt

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Q: L 4 3 2 1 -1+ -2- -3- -4 -3 2 10. From the above graph of y = f(x), answer the following questions:…

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Q: Which of the following is not true? 5 dx dx ® (Α Sº o 25-x² lim c+5-0 25-x² ® √ in(x²) dx = lim_…

A: We have determine the integration

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: Make a linear systems only for this problem. The sum of the digits of a 3-digit number is 11. If the…

A: Given that the sum of the digits of a 3-digit number is 11. If the digits are reversed the new…

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: Find the limit of the following sequence that the limit does not exist- or determine. {(₁ + + )"}…

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Q: Function problem. Check that the following that is harmonic and determine is a harmonic conjugate. y…

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