1. S(7x³ + 4x²)dx e*dx 2. J itez* 1+e2x 3. S(V1 – cos x)dx

Q: (²-1)cos[cosh (In r)]ar 4.

A: The objective is to evaluate the indefinite integral.

Q: about

A: Please refer to the image below 

Q: it is an infinite series in the form, ECn (x – a)" = co + C1 (x- a) + c2 (x - a)²+...

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Q: Find the following limit value. Show all work and proper limit notation. 9х + бх2 — 8х5 lim 3x2 + 8x...

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Q: Write the equation of the function g(x) that is transformed from the given function f(x) and whose g...

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Q: 000 P(x, Y) = K/+y where K is some constant. Both the density function and the shape of the osrsa, 0...

A: Need to find mass of the lamina. Given information: The density function is ρxy=κx2+y2 and limits ar...

Q: -3x²-2x+1 dx x+2

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Q: 5. f(x) = 2x² – x + 6 for all values of x 6. f(x) = 5 at x = 2 x-2

A: On solving this we will get

Q: Calculate the gradient, Vƒ, for the following scalar functions (a) ƒ = xyz. (b) ƒ = x² + y² + z². (c...

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Q: Find the transition points. y = 4x7 – 56x° (Use symbolic notation and fractions where needed. Give y...

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Q: Note: Kindly provide a solution pls. The answer is already provided. Thank you! 1.13 The length of ...

A: This is a problem of area calculation of sector and triangle inside the circle. Based on the general...

Q: (a) The curve with equation y² = x³ + 3x2 is called the Tschirnhausen cubic. Find an equation of the...

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Q: ant1 Use the ratio -to determine if the sequence {ne"}, is strictly increasing or strictly decreasin...

A: Given Sequence : ne-nn=1n=∞

Q: A rectangular box with an open top is to be made from a 16-inch by 21-inch piece of cardboard by rem...

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Q: 10. tan'x sec x dx

A: Given query is to find the value of the integral.

Q: The concentration of a drug in the bloodstream C(t) at any time t, in hours, is described by the equ...

A: Given query is to find the time when to concentration will be maximum.

Q: Formula Answers du Inja - 6r+ 21+C 2 de Inlin al +C

A: We are authorized to solve only one question with 3 subparts, please repost remaining questions Inde...

Q: dz dz and as (b) Evaluate at the indicated s and t values. at 19. z = x'y, X = s - t, y = 2s + 4t; s...

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Q: 2х + 1 Dada la función f(x) = 5x encontrar f'(8), usando la regla del cociente. 13' En el numerador ...

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Q: Solve: y''' – y'' – 21y' + 45y = 0 y(0) = – 2, y'(0) = 15, y"(0) = - 84 | y(t) = %D

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Q: 4. S(cos 2x)e$in 2.x dx 5. S cos x In(sin x) dx 6. ſ tan 0 In(sec 0) de

A: According to given : Only 4,5,6 are solved

Q: Given the differential equation, its particular solution, and its wronskian y" + 1ly' + 18y = 14 e* ...

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Q: Givenf (x) = Vx(x– x³). find f'x) - OF(x) = V- r Of (x) = }V& – 3x²

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Q: • Error and Q Functions 1, Use the definition of error functivn, prove that

A: We want to solve the given problem.

Q: Use fundamental identities to simplify. 4 - 4 cos? tan? x + 7 sin? x 04+3 sin² x 04+ 3 cos x O3 - 4 ...

A: topic - trigonometric equations

Q: According to on of the derivative, lim (Enter the simplified form of the difference quotient) (Enter...

A: Using formula :

Q: Use Lagrange multipliers to find the maximum area S of a rectangle inscribed in the ellipse 25 = 1 (...

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Q: DIRECTION: Solve the following problems in neat and orderly

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Q: QUESTION 1 Suppose that z depends on variables r, s. and , andr, s, and I each depend on a variable ...

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Q: 5. xedy + x²+1 dx 0 %3D y 6. dz - (4x3 - 4x³z+x³z²)dx + (4y – 1)(2 – z)²dy

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Q: The function f(x, y) = xª + yª – 4.xy has three critical points, (0,0), (1, 1) and (–1, –1). At the ...

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Q: csch (2 sin 2x)dx 1. V1-4x

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Q: Given the differential equation y" + 9y' + 18y = 4 x e¬5x Determine the differential operator for th...

A: Here, the given DE is: y''+9y'+18y=4xe-5x

Q: Find a point c satisfying the Mean Value Theorem for y=sqrtx on the interval [9,25]

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Q: Consider the following sequence: {an} = {n– n² } In=1 Use an+1 - an to show that the given sequence ...

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Q: If log „x= 0.32 and log „z = 0.83, evaluate the following expression. log b 3z

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Q: (a) Each of the following functions is smooth in a simply connected region. Determine which of them ...

A: In order to find the scalar function we need to equate the respective partial differentiations and i...

Q: Solve the following differential equation using appropriate method. 2. (2x + 4y + 6) dx + (4x -2y-5)...

A: The given differential equation is; (2x+4y+6)dx+(4x-2y-5)dy=0

Q: 2. -4

A: Our Aim is to evaluate the integral given below:-∫dyyy8-4 -(i)

Q: 1 S (x) = - x - 4 Il discontinuous points of (see the graph) are

A: f(x)=1/x^2-4 f(x)=1/(x-2)(x+2) f(x) is defined when x-2≠0,  x≠2 x+2≠0,  x≠-2  

Q: Qi) Let ū =2 5 , and w=-5 ニ|+ フ find Scalars and b such that a ū - aū t bū

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Q: Find the following limit value. Show all work and proper limit notation. ·8e-7x х—- оо 4е9х — бе-7х ...

A: Given, Evaluate limx→∞ 6e9x-8e-7x+54e9x-6e-7x-2

Q: cot dv cot (v +9) 1-cose

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Q: 6. E yn x" n=1 8.5: 6 Find the radius of convergence and interval of convergence of the series.

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Q: Note : m=0 2. 4-x a. Let f-1(x) = .Find f(x). т+4x b. If g(x) = 3 + v2x – m and f(x) – 1 = x² , then...

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Q: 1. tanosin20 = 4tan0 %3D

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Solve using horizantal Slide EX Evaluat..f.x.dA.whak.R.a.the.sgen.in.the figt. quadvant.bounded.b..x...

A: ∫∫R f(x,y) dA= ∫∫R f(x,y) dxdy =∫∫R f(x,y) dydx

Q: Evaluate each of the following: csch (2 sin 2x)dx V1-4x 1. 2. 3.

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Q: V5 + 12x – 9x²dx

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Q: Determine whether the seauence converges ordiverges. If it conveges, find the 00°+n100+(Inn)loD an=

A: Let an=100n+n100+(ln n)100+100n+n+1