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Q: The graph of an everywhere differentiable function is shown below. Use it to select the correct ineq...

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Q: Given D = {(x, y) | Osæs2, sysl } and f(x, y) = xy then evaluate // f(x, y)dA using the Type II tech...

A: We have to find value of double integration over the given region D.

Q: A graphing calculator is recommended. Find the following, correct to two decimal places. (Enter your...

A: topic - functions and derivatives

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Q: 1 m=1 1+ ln°(»,))

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Q: Determine if the given function is continuous at O. * (x² + 3 f(x) = {3 – 4x (x – 12 x 3

A: This question can be solved using the concept of continuity of a function at a point.

Q: dx Evaluate * (1-2x)² (1–2x)² O 1 1 2 O-1 o 1 2

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Q: 1. A strictly monotonic function is defined as a function that either always increases or always dec...

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Q: Find an equation of the tangent line to the graph at the given point. (The graph is called a Witch o...

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Q: Find the total differential dw. 1 5. w = x tan¬' y – 2ªyz -

A: Solved below

Q: Question 2. Let V = R³, U = {(s + 2t, s, s + t) : s, t E R} and W = {(x, y, x) : x, y E R}. Is V = U...

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Q: csc2 Given: lcot2(클x)- 4cot(글x)+ 4 xp - Find: u cot2 4cot x+ 4 cot cot2 4cot X+4 O ca)-2 cot

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Q: f(t) = t−3 Find  f '(t). f '(t) =          Find the slope of the graph of the function  f(t)  at the...

A: On solving this we will get

Q: determine whether the lines -2x + y=3 and 3x +3 y = 5 are parallel , perpendicular or neither.      ...

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Q: dw In each of the following, find dr and ds using the Chain Rule. 1. w = xy + yz+2z; x =r+s+t; y =rs...

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Q: Evaluate the iterated integral by converting to polar coordinates. V2x – x2 5/x2 + y² dy dx

A: Explained below 

Q: dx Given: 2x- 3xlnx Find: du dx 3 dx dx 3 dx ---

A: Explained below 

Q: 3 х 1 (x² – 1

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Q: Determine the Laplace Transform of the functions shown and simplify.

A: Our Aim is to determine the Laplace Transform of the functions shown below:-14cosh (16t)+16sinh (16t...

Q: tan(e-x) dx Given: ex Find: du e-Xdx - e*dx O -e-×dx xp, O exdx

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Q: 4. (a) Given the points (1,4), (2, 4), (3, 5) and (4, 5). Find the equation of the straight line y =...

A: Please see the below picture for detailed solution. 

Q: 29-42 Find the critical numbers of the function. 29. f(x) = 4 + x - 30. f(x) = x' + 6x - 15x 31. f(x...

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Q: Find the point on the plane 2x+7y+8z-14 =0 closest to the point (-3,3,1). The point is (Simplify you...

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Q: Sketch the region enclosed by y = ešª , y = es, and x = 1. Decide whether to integrate with respect ...

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Q: Given: x² dx Find: Formula 1 o fe'du

A: Given problem:-

Q: dx Evaluate 6e* cos (3e *) O 2 [In |sec(3e-x) + tan(3e-|] + C In |sec(3e-M) - tan(3e-|] + C O -18 [I...

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Q: Assume that sin(z) equals its Maclaurin series for all x. Use the Maclaurin series for sin(72) to ev...

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Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

A: In the taylor's expansion when a=0 , then it is called maclarian expansion.    

Q: Evaluate: (x² – 1 х1

A: Topic:- limits and continuity

Q: 7. Using integration by parts evaluate the integral /(z- 2x)e-3 dz

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Q: Find the equation of the tangent line to the parabola at the given point. x2 = 2y,   (−7, 49/2)

A: The objective is to find the equation of the tangent line to the parabola at the given point.

Q: Apply derivatives to determine the critical points of the function ?=?(x−6)².

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Q: implicit differentiation to find the equation of the tangent line to the function defined implicitly...

A: Topic = Functions

Q: 1 3. Let f(x, y, z) = Show that Vx2 + y² + z²° frx + fyy + fz2 = 0.

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Q: Find the producers' surplus it the supply function for pork belies is given by the following S() -q/...

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Q: graphing calculator is recommended. Find the following, correct to two decimal places. (Enter your a...

A: Given query is to find the the interval where function is increasing and decreasing , and find its r...

Q: 3. Consider the function f(x)=V x* +3. a) Estimate the area under the graph of f(x) from a = 0 to b ...

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Q: Rewrite the statement in mathematical notation. (Let n be the number of cases of Bangkok flu and t b...

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Q: Use sigma notation to write the Taylor series about x = function. 1 x + 5

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Q: 3 x lies in the third quadrant, find the values of other five If cos x = - 5' trigonometric function...

A: In third quadrant tangent and cotangent are positive.

Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum...

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Q: Evaluate the integral tan 4x dx tan? 4x - 24 nltan- O inltan 4x + Vtan? 4x – 24| + C 1 Arcsec tan 4x...

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Q: . Ssec(x),/sec(x) + tan(x)dx

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Q: Edit Use Stokes' Theorem to calculate the integral | F · dĩ where F = (y – x)i+ (z – y)3+ (x – 2)k a...

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Q: e Σ k=1 3.

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Q: Find the Laplace transform of the function ( 3, 0<t<5 ( 0, st<0 f(t) NOTE: Express the answer in ter...

A: Laplace transform

Q: 9. Find y' and y" for the following curves: a) x2 + y² = 1 b) x³ + y³ = 1 c) x* + y4 = 1

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Q: V sec3(In x) + sec2(In x) tan(In x) dx Given: 2x Find: du O tan(in x) dx X O tan(In x) dx 2x sec (In...

A: Given:     To determine: expression for du

Q: dx Evaluate xV x2 - 4 8 프2프4 O O O

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Q: tan æ – In () DIFFERENTIATE the given:

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