x*+3x-4 4. lim X4 x+6x2+12x+16

Q: Explain why the integral ex* dx is convergent.

A:

Q: Consider the following sequence: 9" {an} %3D 4n2 n=1 An+1 to show that the given sequence {an} is st...

A: This question is related to sequence and series, we will solve it using given information. 

Q: A point has rectangular coordinates (3, - 8). Convert to polar coordinates, with r 0 and 0<0< 27. (r...

A: let (x,y)=(3,-8)  

Q: 4. dy/dx = sec ²xsec³y

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Q: -3x 4, Suppse that f (x,4)= e Suppse thet f (x,u)= e * Bgt te++q thun find the discrioninant of f D=...

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect ...

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: Given

Q: how to solve cos(arcsin[3/5])

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Q: The terminal side of an angle 0 in standard position lies on the line in the given quadrant. Find th...

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Q: Graph the line x - 2y = 4 and find its intercepts. %3D

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Q: The formula for the volume of a right circular cylinder of radius r and height h is V = πr^2h. At th...

A: We will find that how fast is the height of the cylinder changing at this same instant?Below find th...

Q: 17. Find all local maxima, local minima, and saddle points for the function: f(x,y) = x² – 6xy + 8y³

A: To find the local maxima, local minima and saddle points for the function: f(x,y)=x3-6xy+8y3

Q: Use an appropriate technique to evaluate the following: 1 dx dy (1+x² + y²)²

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Q: Find a function f and a number a such that, for all x > 0, S. f(t) -dt = 2/x. t2 6+ a

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Q: 3, 4, 5, 6, 7, 8, 2, 10 and 11 A vertical plate is submerged (or partially submerged) in water and h...

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Q: Find the general parametric solution for the augmented matrix form. Identify the homogenous solution...

A: Solution: AX=b A=22341-3,     X=xyz,     b=03

Q: Reduce the given system to echelon form to find a single solution X1 + 7x2 +3 x3 + 11 x4 = 0 2x1+ 7x...

A: T

Q: Given the function g(t) = (t-4)(t+3)(t-1) What is It’s g - intercept is: What is It’s t- intercept i...

A: The objective is to find g - intercept and it’s t- intercept .

Q: Find the dimensions of a closed rectangular box with a square base and volume 3375 in3 that can be ...

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Q: d the exact value of each part labeled with a variable in the figure. =b fy your answers, including ...

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Q: Evaluate the integral using Trigonometric Integrals S (8 – - 3cos (x)sin°(x) dx °(x)sin´(x)dx

A: We can find the integration as below using trigonometric integral.

Q: 1. Find all possible points of discontinuity and classify each discontinuity as removable, jump esse...

A: Let's find. 

Q: Explain why the integral ex*dx is convergent.

A:

Q: - Determine if the function is even, odd, or neither. State its symmetry, if any, and graph. (a) f(x...

A: Even and odd function 

Q: (b) Find an operator A that annihlates the following functions. i. In(x) ii. to , α ε R iii. sin(3 I...

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Q: . Suppose that your best friend has calculated the partial derivatives of a given function f(x, y) a...

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Q: dx 72

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Q: 9. Two chicken coops are to be built adjacent to one another using 120ft. of fencing (sce the pictur...

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Q: For the given vector function below, find the equation of the plane that contains the osculating cir...

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Q: . Suppose that your best friend has calculated the partial derivatives of a given function f(x,y) an...

A: Please see the below picture for detailed solution for detailed solution. 

Q: a hemisphere of radius 12 inches and base up is full of water that runs out through an orifice of ar...

A: Solution of the problem is follows

Q: Transform the rectangular equation y = - 8 to a polar equation in T and 0.

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Q: 4. ( * x)dk =(2y-)dy 2Y- I+x?y2

A: For the solution follow the next step.

Q: Solve the differential equations. (y Jri i y²) dx xdy When x=V3, y = 1

A: y-x2+y2dx-xdy=0

Q: 13.

A: y=tsint1+t

Q: quation. Do not simplify.)

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Q: y + = x2+y2 dx xdy when x=J3', y=1

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Q: The wheels on a skateboard have a diameter of 2.41 inches. If a skateboarder is traveling downhill a...

A: Topic  = Algebra

Q: dy yo

A:

Q: -3x3 dx V5-x8

A: In order to solve the integration ∫-3x3(5-x8)dx,  Let us assume t=x45

Q: Solve the differential equation: (y- sqrt (x²+ y2) )dx= xdy when x= sqrt 3, y=1 Please also state ...

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Q: Determine the vector v that has magnitude 9 and direction angle 160°. Type your answer in component ...

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Q: handwritten The derivative of the function

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Q: The half-life, T, for a particular radioactive element is 15 min Find the decay rate of the element ...

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Q: Find the equation of the tangent line and equation of the normal line to the graph of 3x cos y = 1 +...

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Q: The temperature at a point (x, y, z) is given by -x² - sy² - 722 T(x, y, z) = 100e where T is measur...

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Q: Find the position vector i that corresponds to the vector graphed below. Note that each box in the g...

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Q: Question 3 Transform the polar equation 6 to an equation in I and y. Submit Question

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Q: (D²+1) y 4 see X . ニ

A: 1. We know, ∫secnxdx=n-2n-1∫secn-2xdx+secn-2xtanxn-1   Given differential equation, D2+1y=sec4x........

Q: 5) Given a curve y = f(x) has a tangent line y = 3x - 4 at a point (- 2, 1) and a tangent line y = -...

A: Topic  = Derivative As per guidelines , At a time only one question can be answered.

Q: 33. For what values of x does the graph of f(x) = x +2 sin x have a horizontal tangent? %3D

A: We need to find values for which the function have horizontal tangent.