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Calculus

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Q: Use any method to determine if the series converges or diverges. Give reasons for your answer.

A: Refer to the question.Here we have to find the convergence of the series,

Q: Find the function which solves the initial value problem dy/dx= 3ex −2x; y(0)=−1.

A: Given that dy/dx = 3ex-2x; y(0) = 1.dy = (3ex-2x)dx (By cross multiplying)Integrate on ...

Q: How can I get the result? Which is the result?

A: (a)Complete the table below analytically:

Q: How do I choose my g(u,v) and h(u,v)?

A: The double integral is given by,

Q: Find the derivative of y with respect to x

A: we are given an inverse function

Q: I need help for this.

A: Let S be the sum of the series we have to find. Hence, S will be as shown on the white board.

Q: Find a particular solution to the differential equation below that passes through the point (−3,−5)....

A: The given differential equation is y’ = 5x–5.

Q: Which is the result?

A: We are given a function as

Q: How can I get the result? Which is the result?

A: The given functions are,

Q: please show ALL your steps

A: we are given a function

Q: what are the steps to solving |x-4| > 9

A: We have to solve the inequality.Inequality is given below:

Q: e2h-1 if f'(a) lim-0 what is f(r) and what is a? h

A: Click to see the answer

Q: Find the exact length of the curve of the equation that is in the picture, make sure that you show a...

A: We first find dy/dx

Q: You must get from a point P on the straight shore of a lake to a stranded swimmer who is 60 meters f...

A: Let, "u" be the velocity at which you can swim and "v" be the velocity at which you can run.u = 2 m ...

Q: The function s(x) = 3600/(60 + x) = 3600(60 + x)^-1 gives a person's average speed in miles per hour...

A: The function of distance,

Q: Logarithmic Differentiation - See attachment

A: Find the derivative of the given function.

Q: How can I get the result? Which is the result?

A: In a graph, a function is said to be increasing if it is rising from left to right and is said to be...

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is inf...

A: We have to plug x=5 first in the given expression.

Q: dy Ify드a2-4x-의. then. dx x2 2x-2) 2-4x-5 einz2-4x-5)- In(z+2)]. x2-4x-5 x2 x2-4x-5 x 2 x 2 2-4x-5 x2...

A: Consider the given equation:

Q: Find the average value of the function f(x) = e-4x on the interval [0, 1/2 ]

A: Given:The function is f(x) = e−4x .Definition used:The average value of a function f(x) on the inter...

Q: 2 sec x Ay and the 2 In the figure to the right, the equation of the solid curve is y equation of th...

A: The curves are given by,

Q: Help with #7

A: Given information:The equation of the curve is

Q: Which of the following limits could be evaluated using L'Hopital's Rule? Indicate all the apply. Sel...

A: (A) This limit was not in form 0/0 or infinity/infinity. So we can\'t apply L\'Hospital\'s rule for ...

Q: How can I get the result? Which is the result?

A: Use online graphing calculator to graph of the function.

Q: Consider the following limit of Riemann sums of a function f on [a bl. Identify f and express the li...

A: Let f be a function defined on [a,b], and P be a partition of [a,b] shown on board .A Riemann sum ...

Q: 11

A: Obtain the magnitude value of u as follows.

Q: A drag racer accelerates at a(t) = 84 ft/s^2. Assum v(0) and s(0) = 0.

A: Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not mentione...

Q: Find the absolute extrema of the given function on the indicated closed and bounded set R. (Order yo...

A: We are given a function and a closed interval as

Q: Use the derivative f'(x) = (x - 3)(x + 4)(x + 4) to determine the maxima and minima of f and the int...

A: f will be increasing if f'(x)>0. From the graph of f'(x) we see f'(x)>0 when x>3 [because a...

Q: What is the order of the following differential equation? −4x4 y=−5ln xy

A: Given differential equation is,

Q: What is the velocity at time t for a car that begins accelerating at a rate of 4 feet per second squ...

A: To determine the velocity from the given conditions

Q: What is Calculus

A: Refer to the question what is calculus,It is topic of maths which helps in studying curves, and find...

Q: Find the aveage temperature in the box. Please refer to image. The bounds of x are 0 and ln3 The bo...

A: Given information:The given temperature distribution is T(x,y,z)=15e-x-y-z.

Q: 1. Estimate the volume of the solid that lies below the surface z = xy and above the following recta...

A: You have asked two unreleated questions in the same post. Further your first question has multiple s...

Q: Find the point on the plane 4x+5y+x=11 that is nearest to (2,0,1). What are the values for x, y, and...

A: The equation of the plane is

Q: lim x→3(2x3 -12x2 +5x+3)

A: We have to evaluate the limit as shown on white board.Let’s call (2x3 - 12x2 + 5x + 3) as f(x)

Q: 1000 Find the marginal cost when q = 10. 9 The average coste for producing q units of a product is g...

A: The average cost c is given by ,

Q: c. Find the area of the reqion bounded by y xe-a and the x-axis on the interval 0,bl. Because this a...

A: Given curve is The area of the region bound by the curve and x-axis on the interval [0,b] is given b...

Q: find the exact length of the curve of the equation in the picture below make sure to show all work

A: The given curve equation is,

Q: Which of the following is the power series representation for f(10x)? O A. B. 10k co (1-(10x*) In k ...

A: The power series representation for f(10x) is,

Q: Help please..

A: We first calculate the value of cos x at x=0.5

Q: Water drains from the conical tank at the rate of 5ftmin 14. 4 10 Exit rate: 5 ft/min a. What is the...

A: By using the concept that the sides of similar triangles are proportional, therefore, the ratio of r...

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by x ...

A: We are given equations as

Q: Find the area of the region that lies inside both curves. r = 9 + cos(θ), r = 9 − cos(θ)

A: To calculate the area of the given region (by integration) described by polar coordinates

Q: 2 -4 0 such that f(x)-4 0, make a conjecture about the value of 8 that satisfies the preceding ineq...

A: For part a, bAccording to epsilon delta limit.Let f(x) be the function defined on an open interval a...

Q: I did the test points but not sure how to answer??? It’s positive when less than 3, less than 0 and ...

A: To determine when the motion is in the positive direction and when it is in the negative direction.

Q: Logarithmic Differentaition - see attachment

A: Given information:The given function is

Q: How can I get the result? Which is the result?

A: we are given a function as

Q: lim x→5 f(x) where f(x)= { 7x-10 if x<5; 25 if x>=5

A: To find the limit x->5 f(x), we have to find the right and left limit of x=5 first.

Q: Suppose f is differentiable on an interval containing a, b, and let P(a,f(a)) and Q(b,f(b)) be disti...

A: Given information:Suppose f is differentiable on an interval containing a, b, and let P(a,f(a)) and ...