3 e3/x - dp- x2 83.

Q: 3. The function f is defined for all real n umbers except for x = -3. What is a reasonable estimate ...

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Q: A 28-ft ladder leans against a building so that the angle between the ground and the ladder is 75°.

A: FOLLOW next step

Q: a) Find the divergence and the curl of the vector field F × G, where F(x,y,z) = 2x²yi – y³z²j – 2z²k...

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Q: Evaluate the following indefinite integral. -x-2 (a) dx dx (b) cos 0 sin Od0

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Q: 6x° + 8x² + 45x +36 Consider the indefinite integral 2' + 9x2 Then the integrand has partial fractio...

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Q: nd the limit of the following functions. Identify poi 1) lim y→-2 7y3 + 5y2 – 16 у3 — 8

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

Q: Let f(x)={x2+2x+1, if x≤3 ax+b,if x>3 Find a and b such that the function f(x) is differentiable e...

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Q: For what values of x are the following functions NOT continuous. 4x² – 17x + 15 (x) = Vx² – 25 b. f(...

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Q: (3) Find an equation of the tangent line to the curve y = 2x² + 3 that is parallel to the line %3D 8...

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Q: Find the volume of the solid Formed by revolving the bounded by the graphs oF fox) =v9-X, y-axis %3D...

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Q: Use log differentiation to find derivative of y with respect to the given independent variable

A: Topic = Derivative

Q: Evaluate the ff. 1.  ∫(3x+4)^2 dx 2.  ∫ sinx + sin(π/2-x)/cos x dx 3. ∫(1-r) √r dr

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Q: Direction: Find the derivative of the function. S(p) = VP – 1 VP +1 Select one: 1. f'(p)

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Q: A forester wants to measure a tree's height. Assuming that the tree is at a right angle to the plane...

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Q: Using the definition of the derivative, find f'(x). Then find f'(-4), f'(0), and f'(4) whenm f(x) = ...

A: We can find the derivative as below.

Q: Find the volume OF the solid Formed by revolving the region bounded by the graphr of x- -y't 4y, and...

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Q: Use the properties of limits to help decide whether the limit exists. If the limit exists, find its ...

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Q: (10x -) dx

A: We can find the integration as below.

Q: Find the derivative of the following function using logarithm laws. (2x2 + 3) y = (x – 1)2

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Q: 3. 3x2y2 dx + (2x ³y + x³y*)dy =c

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Q: Let t be a real number and let V3 be the point on the unit 1 2 circle that corresponds to t. (a) Fin...

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Q: Compute the global extrema of f(x,y) = x² + 2y² on the domain %3D indicated: a) D = {(x,y) E R?:0 < ...

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Q: (14 Find the eguation of the tangent line for y = when x=1. x² +3

A: Given,            y=12x3+3 , x=1To find : The equation of the tangent line.We know that,           T...

Q: 15) Consider the following equations of quadric surfaces: a) x = + - 4 b) x? - y? + z? = 4 6. i) Ide...

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

Q: 20 Evaluate the integral: da 2 +16 2. (A) Which trig substitution is correct for this integral? Ox =...

A: We will evaluate the given integral by using substitution method as shown below

Q: Find all the local max/min and saddle points for the function f(x, y) = a + y³+3x2 - 3y? – 8

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Q: If sin(0) : 3 and 0 is in quadrant IV , then find (a) cos(0) (b) tan(8) (C) sec(0) (d) csc(0) (e) co...

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Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral wi...

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Q: x-3 If f(x) = X-8 where is f not differentiable? %3D

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Q: Find all the values of x such that the given series would converge. Σ (5)" (,n + 4) n=1 The series i...

A: The given series,        ∑n=1∞xn5nn+4

Q: After t hours a freight train is  s(t) = 17t2 − 2t3  miles due north of its starting point  (for 0...

A: Given that: s(t)=17t2-2t3

Q: A wheel turns 1,500 revolutions per minute. How fast does it turn in radians per second? 300 rad/sec...

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Q: Let f(x) = 7 9(z) = and 2 7 7x - h(x) : | (a) Find the domain of g. Write your answer in interval no...

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Q: Describe the end behavior (long run behavior) of f(x) = x° As x → - o, f(x) → ? v As x → 00, f(x) → ...

A: The given question can be solved as shown in step2.

Q: sin x cos? x dx

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Q: Find the domain of x/6x+25

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Q: x2 dx 25 - x2

A: Here we use the trigonometric subsitution method to solve the given Integral.

Q: 6. Using differentiation formulas, write the derivative with respect to x of the following. Find the...

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Q: Evaluate the following. Show solution using the basic formulas.

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Q: Sketch the region of integration and change the order of integration. -25 * " f(r, y)dydx S S f (x, ...

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Q: For problems 1e $ 19. logarithmic use differentiation to Find dy 3x ų = (sin 4x)"

A: 18)y=(sinx)3x

Q: dy Use implicit differentiation to find dx tan(x+y) = x + y

A: To differentiate implicitly the given function.

Q: e is an angle in standard position with T(-20, -21) on its terminal ray. Find cota 21/20 -20/21 20/2...

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Q: a) Find the inverse of the function. b) Sketch the graph of f(x) and f-1(x) on the same Cartesian pl...

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Q: For problems 1e $ 19, use logar differentiation to Find dy Bx y = (sin 4x)* 3. y= (x+2) Cax-3) (4x+7...

A: follow next step

Q: x3-27 dx 2. ズ-3

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Q: If vector A is any non-zero vector, a unit vector in the same direction of A would be?

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Q: (x + 6)dx J (x + 2)² 4 In(x + 2) + +C x +2 4 -In(x + 2) + C x +2 Option 1 Option 2 4 In(x + 6) + + C...

A: Evaluating the indefinite integral

Q: 5. Ydx – xdy + x(2 – y)dy = y? eY dy

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Q: (x – 1)*(r+2)³ r8(x – 3)² the natural log of both sides, using log rules to expand the log of the ra...

A: The given function,    y=x-13x+25x8x-32