Find the area bounded by y=e*, y=lnx, x=e, the x-axis and the y-axis. (A) 13.1543 B) 13.1435 C) 12.1435 D) None of these E) 12.7834

Q: 7. fcsc (3x) • cot (3x) dx csc(3x) A. + C B. -csc(3x) 3 + C C. -3 csc(3x) + C

A: As per guidelines we can answer only one question at a time, so if you need more answers kindly…

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: 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: Use the trapezoidal rule with n = 20 subintervals to evaluate I = -5 sin² (√0× t) dt

A:

Q: Water is leaking out of an inverted conical tank at a rate of 13600 cubic centimeters per min at the…

A: Water is leaking out of an inverted conical tank at a rate of 13600 cubic centimeters per min  at…

Q: Determine whether there exists a function f : [0, 2] → R or none such that f(0) = -1, f(2)= 4 and…

A: In this question, we need to determine whether there exists any function for the given conditions.

Q: 4. fx√x - 3 dx

A:

Q: 3 y = √√2x + 7

A: Given,  y=2x+73 or x=y3-72

Q: 까지 dx 10. A. In x + C B. In² [x] + C C. m² 1x1 xl 2 + + C

A:

Q: If you evaluate the integral expression Blank 1 Add your answer 2x-1 - 3|dx the result is Blank 1…

A:

Q: Find az/ax if z is a two variables function in x and y is defined implicitly by x5 + y² cos(x²₂³) =…

A: Here we have given a function : ⇒x5+y2cosx2z3=7xz+exz2 So for calculating ∂z∂x, y will be treated as…

Q: Integral of Exponential & Logarithr Determine the integral of the ff. functions. 1. - 20 e 4x dx 2.…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: Find the slope of the tangent line to the curve - 4x² + 4xy - 1y³ = - 148 at the point (3, 4).

A:

Q: (1) Which is the correct formula for finding the derivative of the product of two functions? (fg)' =…

A: 1.the formula of derivative of two function is fg'=fg'+gf'

Q: Q1: A. Find the general solution of the following Initial Value Problem (IVP): y+9y-10y = -40t²-72t…

A:

Q: Find the transition points. y = 15x³ + 360x² (Use symbolic notation and fractions where needed. Give…

A:

Q: 5. Given that W 8.25 √y The value of x,y and z are measured with maximum percentage error of 1%, 2%…

A: Let's find maximum percentage error in w.

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: solve this. Find the absolute extrema of f on the given interval. (find the absolute maximum value…

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

A:

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: In pair, study and find the integral of the following functions. You will be awarded marks for each…

A:

Q: Find the absolute extrema of f(x) = x³ - 6x - 1 on the interval [-2,3].

A:

Q: het Q be the differential operator defined by Q(y) = y(3) +44 (2) + 5y² + 2y a) golue: Q (y) = 10…

A:

Q: 20

A: Please refer to the image below

Q: Find the absolute extrema of f on the given interval. (find the absolute maximum value and absolute…

A: Given, x2+ 4x+2, [-3,0]

Q: Solve for the second derivative of the following implicit function

A: We can solve this as follows:

Q: Q1: A. Find the general solution of the following Initial Value Problem (IVP): y +9y-10y = -40t²-72t…

A:

Q: [²₂1 (²) Given than [ f(x) dx = 3 Ⓒ ® B Lof(² f (x) dx = = [₁, ƒ (² f (x) dx - f (x) dr 1₁° dx -2 3…

A: Given

Q: 3n³ + 2n² + 1 n→∞ 1+n-2n³ " (a) lim (b) lim x→1 x² + √√√x-2 1 - ln x

A: Topic = Limits

Q: Q3/ Solve the following. 1. lim(1 + sin4x)cotx X-0 Inx 2. lim X→∞ √X

A:

Q: What substitution should be used to solve the integral O sin u=3x/2 sec u =2x/3 sec u =3x/2 O tan u…

A: We have to solve the integral

Q: Derive the formula for trapezoidal Rule to evaluate f f(x) dx

A: The trapezoidal rule is to find the exact value of a definite integral using a numerical method.

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

A: local maxima or minima

Q: All continuous functions are integrable. A) True B) False

A: Solution:

Q: 90 y 2 1980

A:

Q: (1) (-³)) = the output value is the same as the input value. Composing a For sin (sin-1…

A: Composing of a trigonometric function with its inverse can be done in a lot of ways.    a)…

Q: 1. f(1-cot 2 x)² dx

A: Solution:

Q: 14, which 12 54 32 9 27 of the following rule defines y as a function of X 13 18 101 69 350

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Q: X √2x²-4x-7 S dx

A: Solution…

Q: 2. 5x - 2 (x + 3)² S dx.

A:

Q: Consider the power series. $Σ (-3)^(x-2)^. √n+2 n=o 1. Use Limit Comparison Test to show that the…

A: Note: In the second circled part the student has made an typing error by writing 'x' in the…

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

A:

Q: Q2/A/ Find the intervals on which the function f(x) = x² - 4x + 3 are increasing and the intervals…

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Q: 1. f(x + 2) ³dx A. (x + 2) + C A О в O 2. fe²x+1dx A. ²x+1+C O A. B. O C. B. 6(x + 2) + C B. e2x+1+C…

A: Here is the solution:

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

A:

Q: Solve the differential equation: (x+y+2)dx-(x-y-4)dy=0

A: Solution

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: 7. (x² - 2x + 3)dx 5²

A: SOLUTION-