FIGURE 6

Q: The function V(x) = x(14 - 2x)(30 - 2x), 0 <x<7, models the volume of a box. (a) Find the extreme va...

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Q: Question 10

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Q: 6.2.  4

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Q: A tumor is approximately modeled by the shape of a sphere, given by the following equation:V =43πr3(...

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Q: 6.2.  3

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Q: With an initial deposit of $100, and an interest rate of 8%, the balance in a bank account after t y...

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Q: Estimate the limit numerically or state that the limit does not exist. If infinite, state whether th...

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Q: verify that the given function is a particular solu-tion to the specified nonhomogeneous equation. F...

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Q: #39

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Q: Suppose that a differentiable function ƒ(x, y) has the constant value c along the differentiable cur...

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Q: Use l'hospitals rule to solve: lim x approaching infinity (x(-1/3))/sin(1/x)

A: We use L'Hospital's rule     

Q: Find values at x where the fuction is NOT differentiable(in any) f(x)= lx-2l +3

A: Given function is By definition, we have Therefore,

Q: Find lim f(x) if, for all x > 1, бех 19 < f(x) < - 2ex VX - 1

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Q: A biochemist is testing the effect of a new antibiotic on a particular

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Q: evaluate look at the image to solve for this pls show every step and explain

A: Given integral

Q: Find the area of the “triangular” region in the xy-plane that is bounded on the right by the parabol...

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Q: 8. the second derivative of f(x) =3e^5x , is а. 15е^5х b. 125e^5x с. Зе^5x d. none of the other alte...

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Q: Find the extreme values of ƒ(x, y, z) = x - y + z on the unit sphere x2 + y2 + z2 = 1.

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Q: y' + 2y" – 5y' – 6 = 0 , y(0) = y'(0) = 0 , y"(0) = 1 %3D

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Q: 75. Circular sector Integrate f(x, y) = V4 – x² over the smaller sector cut from the disk x² + y² < ...

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Q: calculate MN and TN for the value of N indicated.

A: For N=6 width of each interval is: So, the partition is: Midpoints of them are: Then we use the m...

Q: Determine the derivative with respect to t x = tcos^2(2t^2 - t)

A: Given,  

Q: Find the values of constants a, b, and c so that the graph of y = ax + bx + cx has a local maximum a...

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Q: What does this show for an increasing or decreasing function, f? O A. If x2 is not equal to x1, then...

A: We know that increasing and decreasing both functions are one-one

Q: Define the term coefficients?

A: Coefficients:  A numerical or constant quantity placed before and multiplying the variable in an alg...

Q: Singularity

A: Consider the provided question,

Q: Can you please answer this question and show all of the steps and say the correct letter

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Q: a. Center of mass Find the center of mass of a solid of constant density bounded below by the parabo...

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Q: A rope, attached to a weight, goes up through a pulley at the ceiling and back down to a worker. The...

A: Let's understand what's going on: Red dot = position of the man

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: 6.2.   12

A: Plot the st. lines and find the region enclosed by the st. lines. Triangle ABC is the region enclose...

Q: Graph the circles whose equations are given in Exercises 24–26. Label each circle’s center and inter...

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

Q: Estimate the slope of the tangent line at the point indicated. P(x) = ex ; x=0

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Q: Suppose the graph of g is given. Write equations for the graphs that are obtained from the graph of ...

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Q: (a) Use implicit differentiation to find if  x2+ x   y + y 2 +1 = 0 (b) Plot the curve in part (a). ...

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Q: Use Taylor’s formula to find a quadratic approximation of ƒ(x, y) = ex sin y at the origin. Estimate...

A: The given function is,

Q: 6. If a student has taken ten exams in five different courses. The scores on the ten exams were 100,...

A: Arrange the marks in increasing order 51, 60 ,71, 71, 73, 78, 81, 94, 96, 100 Mean =(sum of all obse...

Q: Question 9

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Q: Find the values of constants a, b, and c so that the graph of y = ax + bx + cx has a local maximum a...

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Q: calculate the integral in terms of the inverse hyperbolic functions.

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Q: How are double and triple integrals in rectangular coordinates used to calculate volumes, average va...

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Q: Please show step by step solution

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Q: evaluate the integral.

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Q: On her bicycle ride Fabiana's position (in km) as a function of time (in hours) is s(t) = 22t + 17. ...

A: Fabiana’s position (in km) as a function of time (in hours) is given by

Q: The Boris and Bela Pharmacy have determined that the shelf life of B5 Nutrient is a Continuous Rando...

A: Sample space, S

Q: Can you please help me with this question?Thank you!

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Q: Piecewise-Defined FunctionsIn Exercises 35 and 36, find the (a) domain and (b) range.

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: find f(x) by solving initial value problem look at the image to solve for this show every step and e...

A: To solve the below initial value problem.

Q: Find the plane x/a + y/b + z/c = 1 that pass-es through the point (2, 1, 2) and cuts off the least v...

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