16-x2 dx

Q: I need help solving this question.

A: We have, limh→0tanπ4+h-1h If h→∞ the value of limit is of form ∞∞, which is indeterminate form.

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Q: Find the indicated term of the arithmetic sequence with the given description.The first term is 25, ...

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Q: SIder ne DE dy dy 6y = 12x, y(0) = 1 dx dx? Ae2 1 is a solution of the DE and determine Verify that ...

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Q: What is the derivative of y = In (tan (x)), with respect to 'z?

A: Given y=lntanx To differentiate given function apply chain rule dydx=dydududx

Q: find the general solution to the given Euler equation.Assume x > 0 throughout. x2y'' + 2xy' - 2y ...

A: Solution -  Given equation is of the form of -    ax2d2ydx2 + bxdydx + cy = 0   (Euler's equation) w...

Q: Hi, need a step by step break down please.

A:

Q: 2. For f (x) 1, g (x) = 1 + Vx, find the domain and range of f / g, and g/f

A: Given: fx=1, gx=1+x

Q: 2) csc 0 13 12 In each triangle ABC, angle C is a right angle. Find the exact value of the trig func...

A: 2. Let x be the unknown side. Using the Pythagorean theorem, obtain the unknown side as shown below:...

Q: Divide using synthetic division (x2 - 5x - 5x3 + x4)÷ (5 + x).

A: x2-5x-5x3+x4÷5+x On rearranging the terms, we get x4-5x3+x2-5x+0÷x+5 Now, x+5=0⇒x=-5 The coefficient...

Q: Find an equation of the hyperbola satisfying the indicated properties.

A: Vertex is at (0,4) Focus is at (0,5) and (0,-5) . Its lies on the y axis So its a vertical hyperbola...

Q: 5) The circle defined by the equation x?+ y2 = 18 has two points where the slope of its tangent line...

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Q: A rectangular poster is to contain 200 square inches of print. The margins at the top and bottom of ...

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Q: 2 at the point where x=- Find the slope of the tangent to the curve f(x) = 4 The slope of the tangen...

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Q: Transform the following product by making the change of variable i= k + 1. So when k and - - are exp...

A: Given i=k+1 when k=1  the value of i=1+1=2 i=2 we know that i=k+1 i=k+1subtract 1 from both sidesk=i...

Q: Determine whether statement, "Find the standard form of the equation of an ellipse with vertices at ...

A: Vertices of the ellipse are 0, -6 & 0, 6 and it passes through the point 2, -4. Since the vertic...

Q: A rancher has 480 feet of fencing with which to enclose two adjacent rectangular corrals (see figure...

A: Total fencing needed in that given picture is= x+x+x+x+y+y+y=4x+3y Given that the rancher has 480 fe...

Q: Find the values of the trigonometric functions of e from the information given. tan(8) = -3, sin(e) ...

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Q: The percentage of adult height attained by a girl who is x years old can be modeled by f(x) = 62 + 3...

A: The percentage of adult height attained by a girl who is x years old can be modeled by f(x)=62+35log...

Q: Find the reference angle for the given angle. (a) 2.5 1.57079632 (b) 2.5 2.5

A: Given:- a.2.5π b.2.5  

Q: Find the point on the graph of the function that is closest to the given point.

A: To find the point on the graph of the function fx=x that is closest to the point 4,0

Q: y" + 5y' + 6y = 12, y0 = 2, y'0 = 0

A: Consider the given differential equation y''+5y'+6y=12 ,   y0=2, y'0=0            …1 The homogeneous...

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Q: 8) Find the radius and interval of convergence for the following power series

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Q: Please help

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Q: I’m having trouble with this problem, its asking to graph f -1

A: The graph of the function. We have to find the graph of its inverse.

Q: For an object in an elliptical orbit around the moon, the points in the orbit that are closestto and...

A: The radius of the moon is 1075 mi. The distance of Apollo 11 from perilune s 68 mi. The distance of ...

Q: Use graphs to find the set : [2, ∞) ∪ (4, ∞)

A: Given information: Set [2,∞)∪(4,∞)

Q: Find a cartesian equation for the polar curve: a) r = 8 csc 0 Cartesian equation: y= b) r = 3 tan 0 ...

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Q: Find the midpoint of the line segment with the given endpoints : (10, 4) and (2, 6)

A: We have to find the mid point of given line segment end points: 10,4 and 2,6 We know that if endpoin...

Q: (b) You are the CEO for a lightweight compasses manufacturer. The demand function for the lightweigh...

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Q: Need help with my practice question.

A: Given fx≈7-2x-5gx≈5+4x-3to determine approximate of fgx for x≈3

Q: Compute lim x→π/2+   (x − π/2) tan(x)

A: GIVEN DATA :  Function Limx→π2x-π2tanx TO FIND : Compute the value of Limx→π2x-π2tanx Simplify the g...

Q: Find the terminal point P(x, y) on the unit circle determined by the given value of t. 27 3 P(x, y) ...

A: Given: t=-2π3

Q: Suppose an annuity pays 6% annual interest, compounded semi-annually. You invest in this annuity by ...

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Q: Solve for x accurate to three decimal places. ln 4x = 1

A: To solve the equation ln4x=1 We know that logax=b⇒x=ab Solving the given equation, using  ln4x=14x=e...

Q: Determine the sum of the following infinite series: 5 7 k=0

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Q: Find the most general antiderivative of 5x^2 + √ x.

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Q: Find 을 (VE+ 6e").

A: ddx(x+6ex)

Q: Complete two iterations of Newton's Method to approximate a zero of the function using the given ini...

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Q: dy Find for the curve 49 + 6x° = 3 + sin(7x-y). da

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Q: If f(x)=3sin(x)+4x^x, find f'(2). Using logarithmic differentiation.

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Q: Question 3.

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Q: Two boats leave a dock at the same time. One boat travels south at 30 mi>hr and the other travels...

A: Find the rate of change the distance between the boats.

Q: Sketch a graph of = 1+ cos(t), y = - 1+ sin(t), 0 <t < 2n . 4 + 2- -5 -4 -3 -2 -1 12 3 4 -1 -2- -3 -...

A: Given

Q: Find the x-values (if any) at which fis not continuous. Which of the discontinuities are removable? ...

A: Given  The function is f(x)=ln(x+1)x≥04-x2x&lt;0   Definition of continuity : 1) f(a) is defined . 2...

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.