Find the limit. lim x→0+ sin(6x) x4 || 0

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,…

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Q: How to solve?

A: 1. To find the domain and range of each function, we consider the restrictions on the input x that…

Q: compare the two set-ups togther.

A: Step 1: Step 2: Step 3: Step 4:

Q: 2 3 2) Change the order of integration for the triple integral √ √ √³(x² + In(y) + z)dx dy dz so…

A: The objective of this question is to change the order of integration for the given triple integral…

Q: When is the average cost per year​ minimum? (This time is frequently referred to as the replacement…

A: To find when the average cost per year is minimum, we need to minimize the average cost function.…

Q: Consider the following graph on the interval -180° 13

A: As you have already able to figure it out amplitude and period , lets find out the equation, The…

Q: Suppose that y = f(x) is a particular solution to the differential equation condition f(2) = 3. A.…

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Q: Consider the vector field F = Evaluate . eF dr along the curve C: #(t) = 3 cos(t); + 3 sin(t)], 0…

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Q: For the given cost function​ C(x), find the oblique asymptote of the average cost function c̄(x).…

A: C̄(x)= C(x)/xC̄(x)=(19,000+94x+0.08x2/xC̄(x)=(19,000/x)+94+0.08xWhen x approches to infinity, the…

Q: 7) Use polar coordinates to the find the volume of the solid under the surface f(x,y) = x+y and over…

A: To find the volume of the solid under the surface  f(x,y)=x+y  and over the region bound by…

Q: part a and b please,

A: here I notice that integration of F.ds is same along any path      Thank you

Q: 1 cos" (x) dx = sen(x) · cos"−1(x) + · . cos"-2(x) dx 1-1/co

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Q: Find f(x)=x³-21x²+19x+7 £fic concave DIS ON 1475 the inflection points.

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Q: 14) Graph the curve manually. Indicate the positive orientation r(t)=6cos(t) i + 4sin(t) j −2k for…

A: The given vector valued function  for

Q: help! q) suppose m and n are positive integers such that log m = 43.1 and log n= 18.2 How many…

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Q: + O 5) Find the volume of the solid under the surface f(x, y) = 1-xy and over the region bound by…

A: The objective of this question is to find the volume of the solid under the surface defined by the…

Q: Find the x and y coordinates of all inflection points. f(x)=x³ +45x2

A: given function

Q: Use a graphing utility to estimate the absolute maximum and minimum values of f, if any, on the…

A: Step 1: Step 2: Step 3:

Q: #7, (a) Show lim (x+1)y does not exist. (x+1)²=42 that (x,y) + (-1,0) x+y²+1 (b) Given p(x, y, z) =…

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Q: Calculus I May I please have the solution for the following question? Thank you, 7) An industrial…

A: Step 1: Setting up the Area of the tank in terms of the radius of the cylinder Step 2: Find the…

Q: Suppose that the dollar cost of producing x appliances is c(x) = 800 + 70x-0.4x². a. Find the…

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Q: - 11) Calculate the Jacobian, J, for the change of variables x = u cos(0) – v sin(e) and y = usin(0)…

A: The objective of this question is to calculate the Jacobian of the transformation from the variables…

Q: Sketch the graph of the inverse function. 10-B 10- (3,5) (0.4) 1.3) 4- B 8- 10- Q Choose the correct…

A: As we know The graph of an inverse function is just a reflection of the graph with respect to the…

Q: Use the graph of y = f(x) to the right to state the value of the quantity if it exists. lim f(x)…

A: Left Hand Lmit:  As x approaches 9 from the left side, the graph of the function f(x) approaches the…

Q: answer questions 13, 29, 33, 49, 59

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Q: Find f'(x) for the following function. Then find f'(8), f'(0), and f'(-3). f(x) = -2x²+6x f'(x) = ☐…

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Q: Find the derivatives of the following functions. (a) y = csc (x³732) dy dx (b) f(t): d f(t) (c) g(x)…

A: Step 1: Step 2: Step 3: Step 4:

Q: Evaluate the indefinite integral ∫sec^7x * tan^3xdx

A: SOLUTION

Q: Given that log¸× = 2 3 log, Y = 5 3 determine the value of log 109 21 27 2 (주)

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Q: Evaluate the following indefinite integral ∫18sinx/9cosx-cos^3x * dx

A: Step 1: Step 2: Step 3: Step 4:

Q: A certain infectious disease of humans is caused by a virus. There are six main viral strains, and…

A: The objective of the question is to find out the total number of different levels of severity…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = x3,    0 ≤…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: calculus 2 series

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Q: Find the derivative of the given function. 7x y= 30' y' = ☐ (Type an exact answer.)

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Q: 3) Evaluate the triple integral f₁₁₁³ (ze* +2y) dx dy dz. Give answer exactly.

A: Step 1:

Q: 2πT 2 8) Evaluate the triple integral p² sin() dp do do. What is the coordinate system for this…

A: The objective of the question is to evaluate the given triple integral and identify the coordinate…

Q: Evaluate the integral using the Fundamental Theorem of Calculus, Part I. (Use symbolic notation and…

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Q: Use Newton's method to approximate a root of the equation 5׳ + 6x +3 = 0 as follows. Let x1 = −2 be…

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the largest value of the function f(x) = x³ — 4x² – 10x + 5 - - on the domain -6≤ x ≤ 6.

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Q: Find the unit tangent vector T and the principal unit normal vector N. 15) r(t) = (In(cost) + 2)i +…

A: To find the unit tangent vector  and the prinipal unit normal vector .

Q: CSC (2x) lim 3 37 2 4 => Question Details Done 7. Approximate the limit using a table or graph. Make…

A: Let's graph the function using a calculator:We see that the function in solid blue line approaches y…

Q: The total daily cost (in dollars) of producing x park benches is given by C(x) = 1000+15x+0.1x² B.…

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Q: What is 4x4

A: The question is asking for the product of 4 and 4.

Q: An ice cream cone can be modeled by the region bounded by thehemisphere z = √8 − x2 − y2 and the…

A: (a) Sketching the ice cream cone in 3 dimensions:The hemisphere z=8−x2−y2​ represents the upper half…

Q: Use the Midpoint Rule with n = 5 to approximate the area of the region bounded by the graph of f and…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Find the average rate of change for the following function. f(x)=5x³-3x²+2 between x = -2 and x = 3…

A: The formula for the average rate of change is: Average rate of change=b−af(b)−f(a)​ Where: a is the…

Q: Consider the series ∞ (2x)n Σ n=1 n2 A) | Compute the limit: lim an+1 nx an Show your steps. B) |…

A: Step 1:​n=1∑∞​n2(2x)n​​Step 2:​Using the Ratio TestFor the Ratio Test, we consider the…

Q: 6. Find d(t) if a(t) = 2 cos(t), v(0) = 0 m/s, d(0) = 0 m

A: Finding the velocity…

Q: Find the intervals on which the graph of f is concave upward, the intervals on which the graph of f…

A: The objective of this question is to find the intervals of concavity and the inflection points of…

Q: Let lim f(x) = 17 and lim g(x) = 11. Use the limit rules to find the limit below. x-9 x+9 lim…

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