For the function 3, ²8a+21, 2x f(x) = 7, 0 < x < 4 x = 4 4

Q: Q3: A) Find the limits below x² + sin²y 1) lim (x,y)-(0,0) 2x² + y² 2) (x, lim y)-(1,1) x+y x² - 2xy…

A: Concept: Here we have given multivariable limits  To find its limit first use direct substitution…

Q: let f(x)=x2 -9y  and  g(x)= √x. find the domain of (f o g)(x) and h(x)= 1 / (f o g)(x)

A: Let f(x)=x2 -9x and g(x)= √x. Now,        (f o g)(x)=fx                =x2-9x                =x-9x…

Q: 1. J(√sinx+cosx) dx

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

Q: 70. 4y" +5y' - 2y = e²+xsinx

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Q: • show that (x, y, z) = PDE : 2²4 ахг 824 дуг + 2 x² + y² + z² = 0 8²4 dz² satisfies the

A: This question can be solved using the concept of partial differentiation.

Q: π/2 COS X 1 + sin² x dx

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Q: When solving ff(u)du = t - e³u f(u)du you obtain 1 A) f(t) 1-e³t t B) f(t) 1+e³t t C) f(t) 1-e³t 1…

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Q: H.W Find the taylor series of the following functions for the given points:- 1- f(x)= ln x a = 2

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Q: Find the first three nonzero terms of the Taylor expansion for the given function and given value of…

A: The given function is 3tanx, a=7pi/4.

Q: Find the equation of the tangent plane to the surface defined by the function f(x, y) = x³ =…

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Q: 1. If A (in²) is the area of a square and s (inches) is the length of a side. Find the average rate…

A: This is a problem related to rate of change of the function. Based on the general formula and…

Q: IV. Evaluate: lim (x² + €¯²)(x-¹ csc csc z) z→0+

A: Given :limx→0+x2+e-xx-1cscx

Q: x² tan-¹x dx

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Q: Let R be the region in the second quadrant that is inside the polar curve r = 2 and outside the…

A: In this question, we want to find the correct representation of area of the region R.

Q: 5. Use the substitution method to evaluate So 3x²+2 x3 + 2x +37 dx.

A: Topic = Integration

Q: When applying the convolution theorem to calculate: a 8 L-1 ¹ { x² + Q² * x² +F}" You obtain the…

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Q: Solve the following integration corrected to 3 decimal places using: 1. Trapezoidal rule 4 intervals…

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Q: A: f'(√) = -2. B: f'(√) = -1. C: f'(√) = √√. D: f'(√) = 1. E: f'(√) = 2. If fr. 70 f(t) dt =…

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Q: 182 Σί What is the value of the expression 1?

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Q: Qs/ Find the ave of the region R enclosed by the parabola x = - y²) and the line Y. X +2

A: find the shaded area

Q: H.W Find the maclaurin series of the following functions:- 1 2- 3- sin (3x) 1+x 4-7 cos(-x)

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

Q: X 0 1 23 4 5 6 f(x) 4 -202 1 -4 11 3 -3 1 74-2 f'(x) 6 g(x) 3 15-2 1 10 g'(x) −1 −5 23 4 -1 6 a) !…

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Q: Q1/ evaluate. SPS dj dz dx X+2

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Q: ∫ ln(1 + ?2) ?x

A: Let's solve given  integral.  We know there is x instead of ?.

Q: 9. A man in a row boat at point P, 5 miles from the nearest point A on a straight shore, wishes to…

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Q: f (x² + 1)e-x dx

A: Given problem:-

Q: Find the vector 2u-5v where u = and v= Find the dot product of vectors p= and q = Q3: Find the unit…

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Q: find the given general differential solution, using homogeneous equations with constant…

A: Given.

Q: Given that v = ⟨0, –2⟩ and w = ⟨5, –8⟩, what is w – v?

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Q: 2.f(x,y) = y²x¹^ey.

A: 2. fx,y=y2x4ey Note:    In the question 1, variable for cosine function missing. Hence we answer…

Q: x² −x+3 Can the Fundamental Theorem of Calculus be used to find 52 dx? ○ No, f(x) = x²-x+3 3√x is…

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Q: ♥ 82u = cos x cosy, u(x₁#) = X ₂ U (π, y) = 2 cosy 2 axdy Ans: u(x,y) = sinx sing + 2/2² + 2 cosy -…

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Q: 1. Find ƒ (x) dx given [² f(x) dx = 2 and ₁² f(x) dx = 3

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Q: S. (2w² - 5w+3) dw 4. S. (36+4) ² db 1 v dv S. 6. v² 7. J. ze³z²-1 dz 8. S.2²2 ydy 5. e

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Q: Question Using the definition of a derivative, find f'(x) given f(x) = -x³+4x² + 4x + 2. (Do not…

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Q: Function f is graphed. -4 -3 -2 A Y 4 3 2 t 1 1 4 2 3 -1+ -2- -3- -4 Find f (2) da. Give an exact…

A: We can find the given integral by using the application of the integral.

Q: ∞ ∞ dx 2 x² +9

A: Given :∫-∞∞dxx2+9

Q: hat are all of the solutions for the equation 3cos(3θ) – 8 = –11 on the interval of [0°, 360°)?…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Evaluate the double integral: S² SATI 1/3 x² +1 (Hint: Change the order of integration to dy dr.) dr…

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Q: 7. Compute the area of the region R enclosed by the curves y = x² - 1 and y = 1- x.

A: We have to find out the area

Q: H.W Find the taylor series of the following functions for the given points:- 5- f(x)= a=0 x+2

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Q: 13. y = x², y = 0, x= 1; about the y-axis

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Q: 2. . If f(x) dx = 4 and 3g(x) dx = -9, evaluate [² [3f(x) + g(x)] dx

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Q: Let us recall the following Antiderivati a. f sinx dx = -cos x + C b. f cos x dx = sin x + C C. f…

A: As per our company guidelines we are supposed to solve first three subparts only please repost in…

Q: 2 убличк In'/xl alx

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Q: H.W find the first four terms of the binomial series for the functions:- 4-(1+¹)¹/² 5-(1+x)*…

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Q: Solve the following differential equation using the fourth-order Range-Cata method and find the…

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Q: a. Use implicit differentiation to find the derivative b. Find the slope of the curve at the given…

A: The given curve is sin2y =x. We have to find dydx using implicit differentiation. For  implicit…

Q: 1. A Bernoulli differential equation is one that takes the form y' + P(x)y = Q(x)y". (a) Classify…

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Q: 9. Find the volume of the solid obtained by rotating the region R enclosed by y = -x² + 6x-8 and y =…

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