z= x3 + xy4, x = uv4 + w3, az au az y=u- vew cuando u = 1, v= 1, w=-1 av az aw

Q: 0 e1/x dx

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Q: log;X + (Arcsin5x)³ b. w = + (Arcsin5x)³

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Q: A line with positive slope passing through (-1, 1) and intersects the parabola y = x² at the point P…

A: We have to find co-ordinate of P

Q: What is the area of the region bounded by the graphs of y = x and y = x°? Answer is in square units.…

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Q: In(arctan(x)) da 1+ x² 1

A: Given that a integration and we solve this integration by using general formula of integration.…

Q: The tangent line equation of 2x6+y4=9xy at the point (1, 2) is ... ....E Persamaan garis singung…

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Q: 1. Evaluate the integral. -1 (6х — 12) dx

A: To evaluate the given integral.∫3-16x-12 dx

Q: 4. Find the Laplace transforms of the functions: (a) f(t) = t² (b) f(t) = t – 2e3t

A: a) f(t)=t2b) f(t)=t-2e3t

Q: lim (sin r)tan z T/2

A: Given problem :- Identify the indeterminate form and evaluate limx→π-2sinxtanx

Q: A rectangular poster is to contain 338 square centimeters of print. The margins at the top and…

A: Here we have to use the concept of derivatives.

Q: Write the standard form of the quadratic function whose graph is a parabola with the given vertex…

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Q: Find the vector component of v = (4, – 1, 7) along b = (2, 4, –4) and the vector component of v…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: f(x,y) = 5 + Vx – y² +4

A: To determine theb domain and range of the following function.fx, y=5+x-y2+4

Q: I. Evaluate the following integrals. 1 1. d.x " J r(9 – In² r}5/2"

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Q: x² +64 Using trigonometric substitution, given dx, the simplified form of the integral is= sec ede…

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Q: 10. [ tan 0 de 12.f cos do 3

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Q: 1 Given the function g(a, b) = g(a, b) where suppose m %3D a²b+b a = cd b = c3 + 6d %3| дт The task…

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Q: +0 Σ (2х — 1)" n V4n + 1 n=0

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Q: n Vy(x- y) + y² + 6

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Q: Evaluate the Inverse Laplace Transform of the given functions. 4 1. F(s) 3s2+1

A: According to company rules, I need to solve first question.. Please repost second question

Q: (b) S 3X5V1– 2x³dx -

A: Given,             ∫3x51-2x3dx

Q: 2. If a function f(x) is differentiable at x-a, then function f(x) is continuous at? А. х-а В. х-х…

A: Given problems:-

Q: Calculate the following limit: lim,1 a2+5x-6 x2-7x+6 O -7/5

A: we have to find the value of given limit limx→1 x2+5x-6x2-7x+6

Q: Find the sum of the convergent series. 1 n vn + 1. n=16

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Q: Evaluate the integral. (Use C for the constant of integration.) cos a da sin a

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Q: 1. Y = 2 – 7.x fa) — 4 — 5х — 21? 2. 3. Y = 2x³ – 3.x

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Q: 3. (sin0 + cos€)²d0

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: +oo (2x – 1)" V4n + 1 Consider the power series n=0 a. Show that the series is conditionally…

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Q: +0 (2х — 1)" n V4n + 1 n=0

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Q: x2-1 1- S (Solve it using integration by partial fractions) x2-16

A: According to the guidelines in case of multiple questions, We are only allowed to do first question.…

Q: Integral Calculus: Trigonometric Function (3

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Q: 1. Identify the indeterminate form and evaluate lim (sin x)tanx x-

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Q: y In x – x In y = 4, y' y In (x² + y² )= 2 arctan 2) = 2 arctan y'

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

Q: TOPIC: Partial Fraction Decomposition 1. J: 2х3 —х2+2х-2 dx (х2-2х+2)x2

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Q: 9.) S(5t + 2t2 - 5t - 50)dt

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: x² +64 Using trigonometric substitution, given dx, the simplified form of the integral is: x2 […

A: Use trigonometric substitution,

Q: at is the area enclosed by the curve r = 2 cos 36? wer is in square units. Use two (2) decimal…

A: To find the aera.

Q: Evaluate the following sum of iterated double integrals: -2у 2 •4–2y dr dy + | dx dy 0.

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Q: IV. Determine if the given is convergent or divergent. n Σ #2. (n² + 1)2 n=1

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Q: SV25-x² In dx , if we let u=/25 - x2 , then udu= - xdx. (A) True B False

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Q: Write the quotient in standard form. 17 1 - i

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: Determine if the two given converges or diverges. { п n 2n + - 1/ n=1 Σ n n \2n + 1 n=1

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Q: Determine whether the following series is conve rgent or divergent. (1.) 37 (use Integral Test.)…

A: Let's find.

Q: A model created by an engineer is represented by the following multivariable functions w = xe%, x…

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Q: O Fnd the pemainders when @ x³ - 2xx +5x +8 is divided by x-2, (b) x+ x -9 s OC +1 dwided by is…

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Q: xsin(x³) dxdy

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Q: A closed rectangular bOX with a volume of 16ft° is made from two kinds of materials. The top and…

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Q: In Sx>Vx?-625 625 dx , if we let x = 25sece, then dx = 25secede. (A True B) False

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Q: If f(x)=sin(sin x) then f'(0) is .. Jika f(x)=sin(sin x) maka f'(0) adalah ... 1. O -1 2. O 1 3. O 0…

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