Find the derivative of the function. 5 + 6x - 4/x y% =

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Q: dy Do not simplify your answers. de 3. Solve for sec(3r2 + In 2) eVz+2 +9 c. r Cos y = - log(2³ + y)…

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Q: lim(8x + 16) = 24 Use the epsilon-delta definition of limit to prove that æ→1

A: Let's find.

Q: 2x4 +3x2 – 1 Rewrite dx as integral of sum of partial fractions. (x³ – 4x² + 5x)? - B + E |dx x+1'…

A: we can reduce into partial fraction

Q: /x²+4x – 5 dx Using trigonometric substitution, ƒ (8) dô. x+2 Find the new limits of integration.…

A: Given:        ∫14x2+4x-5x+2dx=∫abfθ dθ         =∫14x+22-9x+2 dx      Apply u-substitution.…

Q: Evaluate the indefinite integral. sin (r)cos(r)da + C

A: Explained below

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Q: The velocity of an object is given by the following function defined on a specified interval.…

A: Given  v = 1(2t+2)m/s   for 0≤t≤8 ; n =4 Displacement = ∫081(2t+2)dx Number of subinterval = 4  h =…

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Q: Integration by Parts Example 4. Evaluate In x dv,

A: The given integral is: I=∫lnxdx   As we know that; ddxlnx=1x

Q: S x2 +2x-10 (2x+4) + 1 JE + 4x +5) Consider dx = x² (x² + 4x + 5) (2x+4) + 1 dx- x² + 4x +5 dx ,…

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Q: x³ + 6x² + x +2 dx? How many quadratic and distinct factors are in the denominator of x³ +1

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Q: Use the limit definition to calculate the derivative at x = a of the linear function f(x) = 31.…

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Q: If you are going to evaluate the integral f cos x v9 + 25sin-x dx using trigonometric substitution,…

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Q: Find the function f(x) such that f''(x) = 6x + 3 cos(x), f(0) = 5, and f(1) = 2 − 3 cos(1).

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Q: If f(x) = (4x – 2)² - (3x² + 6)", find f'(4).

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Q: 5x dx? x3 + x2 +4x+4 How many quadratic and distinct factors are in the denominator of

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Q: Find the first partial derivatives of the function. f(x, у) = 3x + 5y + 4 fy fy

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Q: Using Integration By Parts,x: x dx = u v– Jv du X sec Svou -tanx - Jsec Find Ex tan 5 2 1. X sec x…

A: The given Integral is: ∫x sec 12x tan 12xdx

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Q: Find the point on the line y = 5x + 2 that is closest to the origin. (x, y) = Need Help? Read It…

A: Let's find.

Q: Consider the following. (If an answer does not exist, enter DNE.) (x) = x6e=x (a) Find the…

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Q: ナ+sy'+by =4et も

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Q: Consider the following vector field. F(x, y, z) = (2e* sin(y), 7e sin(z), 4e² sin(x) (a) Find the…

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Q: Below is the motion of a particle given by the following parametric equations as t varies in the…

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Q: D 2x³ – x² + x +2 = (: find dx - A+B+C+D- Consider - + + + x+1 x4 + x3 O 2 O 4 O 3 O 5

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Q: curve has the following parametric equations with parameter t. x=2t-1/2t and y=2t+1/2t. Find dy/dx…

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Q: Evaluate the surface integral F. ds for the given vector field F and the oriented surface S. In…

A: We need to find surface integral.

Q: Evaluate the integral [cot5 x csc x dx O 1 1 늑csc? x-cscs x + 하sc3x + C 2 X + x + C 2 esc x + 1 csc?…

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Q: dy Find dx T/4 | cos ()dt y% = CoS X, dy %3D dx

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Q: 2х — 1 - dx 6х + 18 x² -

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Q: 4 x² +4x-5 dx= find the new limits of integration. Using Trigonometric Substitution f(e) de x+2 TT O…

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Q: The appropriate change of variables for the dx is Vx²+2x+10 O x=10 sinØ O x+1=3 sinØ O x-1=2 tanØ O…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: 2) Convert the following rectangular equations to polar equations. a) x² - y = 3y b. 9xy = 1

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Q: The result of dx IS F(b) – F(a), where Fla) and F(b) are real numbers. What is the value of F(b)?…

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Q: 2. 2Сy — У(х-1) dx

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Q: Find the limit. NOTE: Enter the answer using round brackets. t2 + 2 1 lim t++00 \ 5t2 + 6'4t (?, ?)

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Q: 5x How many quadratic and repeated factors are in the denominator of J 3+ y2 + Y+4

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Q: 5xy = 4x²z – 3yz²; xz and xy.

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Q: (2x + 4) + 1 (2x +4) +1 dx: x2 + 4x + 5 x2 + 2x- 10 2 2 2 Consider dx = x2 (x2 + 4x + 5) dx evaluate…

A: We can solve as follows

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Q: cos. Given: tan x |dx. Using trigonometric transformation , the integral in terms of u is m ( u ™ )…

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Q: Compute f'(a) using f' (a) f(а + h) — f(a) = lim f(x) or f'(a) = lim f(a) for f(x) = 10x³, a = 2.…

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Q: s-8 3. (s-3)(s²+2s+17)

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Q: 00 Given: (1 + 2x)e*dx̟ Using integration by parts and letting dv 00 is %3D u = -1 - 2x, then the…

A: Let's find.

Q: r³ – 4x – 1 = 0 3 | Consider the implicit curve throughout this problem. Find dy/dx and use this to…

A: We can solve as follows

Q: sin(x)cos(2x)sin(3x) dx o sin(3x)cos(3x) sin(2x)cos(2x) sin(2x) + C 4 12 8 8 sin(6x) sin(2x)…

A: Solving the problem by finding the integration of the problem.

Q: Find the tangent to y = x-x+10 at x 3.

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Q: 1. Evaluate the following limits. 4x – 7 lim C. +-1-3r – 2r + r + 1|

A: Let's find.