dx x² + 1

Q: Why is the function shown below not differentiable at x = -1? %3D 2 1 -7-6 -5-4 -3-2-1 1/2 3 4 567 -...

A: Given graph is, The objective is to determine the reason why the function is not differential at  x...

Q: Each graph below shows a relationship between the height of water in a bottle (vertical axis) and th...

A: Here height and volume goes at the constant rate After some time the height and volume changes and f...

Q: When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are rel...

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Q: Calc 3: If z = f(x, y), where f is differentiable, and the following applies, find dz/dt when t = 8....

A: Given Data: From the above expression, Substitute the the value of 't' in the above expression. z=...

Q: Calculus Question

A: derivative of sec(x) is sec(x)tan(x) also we will apply chain rule of differentiation here dydx=dsec...

Q: Use the figure shown to find the bearing from O to A.

A: Given

Q: Find the indicated value for the data. 28, 14, 47, 15, 31, 19, 25, 30, 35, 17, 19, 35, 22, 43, 12, 3...

A: GiveData 

Q: 1. If a tank holds 5000 gallons of water, which drains from the bottom of the tank after minutes, th...

A: GIVEN DATA : Volume of tank 5000 gallons                          After 40 mints water drain from th...

Q: Suppose we have 45 m² of material to build a box with a square bottom and no top. What dimensions wi...

A:

Q: Find the vertices and foci of the ellipse. x2 + 3y2 + 6x – 18y + 33 = 0 vertices (x, y) = ( 3 – V3,3...

A: x2+3y2+6x-18y+33=0 On simplification, we get ⇒x2+6x+3y2-18y=-33⇒x2+6x+9+3y2-6y=-33+9⇒x+32+3y2-6y+9=-...

Q: #54 find each indicated quantity if it exists.

A:

Q: Find the Volume of the solid obtained by rotating the region by the given cruves  x=y^2  x=1-y^2   a...

A: we have been given the curves x=y2 and x=1-y2 and it is rotated about x=5    the blue curve represe...

Q: this is not for a graded quiz

A: Givenf(x)= x4-18x2+12f'(x)= 4x3-36x= 4x(x2-9)

Q: In Exercises 35-74, evaluate the integral using the methods covered in thetext so far.

A: The given integral is, I=∫etet+1dt Let, et+1=u Differentiate u, du=etdt Substituting in equation I=∫...

Q: Calculus Question

A: Given: A particle moves along a straight path. The graph below shows the particle's distance travele...

Q: Sketch the graph and determine the domain and range of the following piecewise-defined functions. (-...

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st ques...

Q: The set of parametric equations represents a line. Without eliminating the parameter, find the slope...

A: Differentiate the first equation wrt t: x = 8 - 3t ------------------------------------------------...

Q: Find an equation of the tangent line to the curve at the given point. Y= x^3 -3x+2, (2,4)

A:

Q: At noon, ship A is 40 nautical miles due west of ship B. Ship A is sailing west at 21 knots and ship...

A: The initial distance between Ships A and B is 40 nautical miles. Calculate the distance traveled by ...

Q: The family ƒ(x) = 1/xp Consider the family of functions ƒ(x) = 1/xp, where p is a real number. For w...

A: Given that ∫1∞f(x)dx=∫1∞1xpdx          Since f(x)=1xp

Q: Verify the identity: cos x cot x + sin x = csc x.

A: Given: verify cosxcotx+sinx=cosecx for verifying given thing we solve Left hand side

Q: Bob owns a watch repair shop. He has found that the cost of operating his shop is given by C(x) = 4x...

A:

Q: Verify the identity:

A: Consider the left side of the identity sinx1+cosx+1+cosxsinx

Q: Suppose the cost function is C(x) = 5x² + 12x + 40. Find the average cost for making 42 items. Round...

A:

Q: Verify the identity cos x csc x = cot x.

A: We have to verify cosx cscx=cotx We know that cscx=1sinx. Now, LHS=cosx cscx=cosx·1sinx=cosxsinx=cot...

Q: Find the equation of the tangent line to the curve at the given point. Illustrate by graphing the cu...

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Q: Find the points on the given curve where the tangent line is horizontal or vertical. (Assume 0 less ...

A: Consider the given Curve, r=6cosθ Find the points on the given curve where the tangent line is horiz...

Q: Water is being pumped (at a constant rate of 7 ft3 per minute) into an upside-down circular cone (ve...

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Q: Find the local and/or absolute extrema for the function over the specified domain. (Order your answe...

A: The given function fx=4-x   , 1, 4 Differentiate with respect to x f'x=-124-x Since f'(x) is not def...

Q: I don't understand how to do a.

A:

Q: Determine the equation of the line tangent to y = (sin x)²(cos x) at the point (5,0).

A:

Q: Find the area of the shaded region.

A:

Q: Solve the Jacobian matrix ?

A: Given The Jacobian Matrix J(12,8)=-6-12-8-4  

Q: As a salesperson, you receive a monthly salary of $2000, plus a commission of 7% of sales. You are o...

A: As a salesperson, you receive a monthly salary of $2000, plus a commission of 7% of sales. You are o...

Q: 7. A particle moves along a horizontal line so that it's distance in feet from it's initial position...

A: