In |x| dx

Q: f(x)=5x2+10x+6 Express the quadtratic function in standard form.

A: we use completing square method 

Q: Fined dy Por the following.. dx O y=tan' (x'+3x-5) + sin ( x*+ 2x - 1) (2) Seepn ed withh CemS eepne...

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Q: For what values of Care the planes 3x+z=5 and 8x-y+Cz=9 orthogonal?

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Q: 4 a2 Calculate the integral: dx (2² + 7)/2 4 Va2 + 7 a) Vz? + 7 +C + 4 ln V7 4 x b) O x + Vx² + 7 + ...

A: From the given problem:   I=∫4x2x2+732dx ........(1)   Let, x=712tanudxdu=ddx712tanudxdu=712sec2xdx=...

Q: Q2) A) Find the asymptotes of the function x3+1 y x2

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Q: Given the piecewise define function f(x)=\left{\begin {array}{1} -x+2, x\leq 2 2x-4, end farray}\rig...

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Q: Stuck on this question for hours. Question in image.   Thanks so much :)

A: To determine the value of r so that the population of fish remains constant.

Q: Solve plz

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Q: Differentiate the function. H(x) = (x + x-1)3 H(x)

A: Here we differentiate the given function.

Q: Find the angle, If Ā=2i - 10j - 11k , B =2 i+2j+ k and À xB , CẦ xB) Ã between them

A: Given that  A=2i-10j-11k And B=2i+2j+k To find the angle between the planes

Q: 81. Given r = (-3, 4) and s = a. Find the product ||r|||s||. (9. – 12). b. Find r· s. c. Based on th...

A: Given:r=-3,4 and s=9,-12Formula:u=u.u

Q: Factor the following.Look for the GCF first. Do number 3 and 4

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Q: The estimated monthly sales of Mona Lisa paint-by-number sets is given by the formula q = 105e-3p+P,...

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Q: Q/ Final oy for the following. dx o y=tan'(x*+3x-5) + sin (x²x 2x -1) (2) X =

A: We have to find differentiation of the given function. 

Q: on part a can you please show all steps how you get  9 and -6  Thank you

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Q: Blood pressure first increases and then decreases as the heart rests between beats each time the hea...

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Q: If $2000 is invested in an account for which interest is compounded continuously, find the amount of...

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Q: Find the length of the loop of the given curve. x = 12t − 4t3,    y = 12t2

A: Given curve  X = 12t - 4t³, y = 12t² We have to the length of the loop.

Q: Use the Product Rule to differentiate f(s)=Vs (3- s°). |

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Q: If none of the angles of a triangle is a right angle, the triangleis called_________ .(a) oblique   ...

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Q: When setting up a partial fraction decomposition, if a fraction has a linear denominator, then the n...

A: Partial fractions can only be done if the degree of the numerator is strictly less than the degree o...

Q: 10.1.1 Please help me answer this calculus question.

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Q: H.W where r is the selid bounded by the Sur faces

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Q: At the given point, is the curve increasing or decreasing? Please justify

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Q: Please help me with this problem

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Q: Find dy/dx, using implicit differentiation. e*y – y = 6 Implicit Differentiation: ye* e* – 1 dy dx C...

A: Given function is : exy-y=6 To find dydx

Q: Find the limit of the trigonometric function.

A: We have to find the limit of the trigonometric function: limx→7 sec π x6 This is determinate form of...

Q: 2.4 #4

A: Given, Function: f(x) = 23x3-4x2+10x Differentiate f(x) with respect to x, we get: f'(x) = df(x)dx D...

Q: At the given point, is the curve increasing or decreasing? Please justify

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Q: Solve the absolute value and find the * intervals |X+ 2|< 4

A: We need to solve x+2≤4. So,           x+2≤ 4⇒-4≤ x+2≤ 4⇒x≥ -6  and   x≤ 2⇒-6≤ x≤ 2

Q: The volume V (in cubic centimeters) of a given sample of water varies with changing temperature T (i...

A: Given that: V(t) = V0[1− (6.427 × 10-5)T + (8.505 × 10-6)T2 - (6.790 × 10-8)T 3] Here, V is the volu...

Q: Q1. By using the definition of the limit, discuss the limit of the function f:R → R if the value of ...

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Q: Consider the curve C parametrized by r(t) = (2 cos t, –1, 2 sin t). Please answer the following ques...

A: Use formula to calculate

Q: Find all values of x (if any) where the tangent line to the graph of the given equation is horizonta...

A: Find where the first derivative is equal to 0. Enter the solutions into the original expression and ...

Q: What is the vector i ?

A: The unit vector is the vector that shows the direction of the vector, The magnitude of the unit vect...

Q: The angler between aand N.For

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Q: dy Solve: dx cotx = 0

A: Given,  The differential equation  dydx-cotx = 0   We have to solve it     

Q: What would be the correct answer? I am confused.

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Q: A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular windo...

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Q: 2. The function f(x) = 2x+cos r is one-to-one. Let g(x) be the inverse function of f(x). Calculate g...

A: Given f(x)=2x+cosx is one to one. g(x) is inverse of the function f(x) To find g'(1). As g(x) is inv...

Q: The minute hand on a watch is 8mm long and the hour hand is 4mm long. How fast is the distance betwe...

A: The minute hand moves at a rate of 6 degrees per minute. Convert to radians:per minuteThe hour hand ...

Q: For the matrix shown, find the inverse of (A) a- [; } ] 1 2 3

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Q: Jada made 6 cups of blueberry jam and divided the jam equally into containers that hold 1/3 of a cup...

A: Here we use basic knowledge of linear equation.

Q: Of the following sequences, which are bounded? Select all such sequences. Select all that apply: O 2...

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Q: Example 2: by using the definition of the derivative, find dy/dx of the function y 5x' + 8x - 3x +4

A: We can use definition of limit In order to solve the given problem.

Q: What is the range of the cosecant function?

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Q: A. Solve dy (1+x+) dx

A: We have to find the solution

Q: A window is being built with the lower part being a rectangle and the top part being a semicircle (s...

A: Window shape- A rectangle with dimension (h×2r) and a semi circle with radius r. Framing material le...

Q: problem is attached! please and thank you!

A: The given function is: y=sin(7x)ln x

Q: Please Write the general Equation with steps to find y in terms of x and r variables

A: Given,  A figure with radius r and other dimensions are  x  and   y  We have to find relationship be...

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.