50 -40 -30 -20-10 10 20 30 40 50 Based on the pattern you see in the graph answer the following questions. Type a number, -00 or oo for ±∞, or DNE if that limit does not exist. lim f(x) = %3| lim f(x) = x → 00
Q: If f(x,y,z) = z In(x²ycosz): then fz is
A: Here, the given function is: f(x,y,z)=z ln(x2ycos z) Using the properties of the natural logarithm: ...
Q: Since (k + 1)³/3k+1 ki3 /3* (1+ ±)* _ 1 lim k→+0 lim k→+∞ 3 3 the series (converges/diverges/inconcl...
A: The given series, ∑k=1∞k33k
Q: Which of the following is the particular solution to the differential equation 2ydx + 3xdy = xy³dy w...
A: This is a problem related to differential equation. There is so many concept and formula available f...
Q: dy 1- IF y = cos(3 cos 2x) find dx
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Q: Given the graph of f(x) below, what is the value of c such that lim, se (z) - f(c)? O b. 1 OC -5 Od ...
A: We have to find where Left Hand Limit= Right Hand Limit= function value
Q: Question 3 Evaluate dt A 313-1+C B 12-1+C c) 312-t+C D 312– 31+ C
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Q: If f(x, y) = x cos y + ye", find dydx
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Q: Given f(x) = Vx+ 8, find f' (-4) using the definition of a derivative. %3D Provide your answer below...
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Q: Determine the constants A, B: 2.х — 3 A В (x – 3)(x – 4) x – 3 x – 4 - - +
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Q: Coffee is draining from a conical filter into a cylindrical coffeepot at the rate of 9 in./ min. Com...
A: Given:Coffee is draining from a conical filter into a cylinde rcoffee pot at the rateof 9 in3/min.To...
Q: • f(x) = -1 when r 2 • f(0) = 1. 1 2 ) Define the function f on the interval [-2,2] such that f is ...
A: (i) We can take fx=x+1-2≤x≤0-12x+10≤x≤2. Note it is obtained by connecting the known points via line...
Q: Find all local extrema for 4 f(x, y): * - 4xy + y.
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Q: cos(2x) -dx sinx+cosx
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Q: - Find: if x<1 if 1sx<2 if x 22 f(x) =x a. lim f(x) d. lim f(x) X-2* 2x b. lim /(x) e. lim f(x) c. l...
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Q: Solve the given differential equation. All solutions should be found. dy etz + 7y dx 4.x NOTE: Use c...
A: The given differential equation, dydx=e4x+7y
Q: 12. How many positive integers less than 1000 are divisible by either 13 or 17? a) 134 b) 130 c) 76 ...
A: First check the divisibility for 13 then 17 then common in both.
Q: Evaluate the following: 1. S(6x² – 4x + 1) dx
A: As we know that; The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 And ∫c·fx...
Q: EVALUATE INTERMS OF GAMMA FUNCTION.
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Q: 1. Find the area of the region bounded by the graphs of the equation Y = x and y = x2.
A: Since you have asked multiple question, we will solve the first question for you as per our guide li...
Q: dy = ay + b whose dt Write down a differential equation of the form 3 as t → o. 4 solutions all appr...
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Q: Describe the surface of 4z2 – 4x² – y = 4 - |
A: The general equation of a hyperboloid on two sheets is given by x2a2-y2b2-z2c2=1 notice that there ...
Q: In the arguments bebu, vymboline both the givens and the a full two column prove statemunt. Then, wr...
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Q: -1 4x° sec x dx
A: In this question we will use basic concepts of calculus i.e concepts of indefinite integration. We w...
Q: Three curves that describe the motion of a particle along a coordinate axis at time t (in seconds) a...
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Q: Given that is the series (k +1)4/4k+1 1+ k: 1 lim k→+0 lim k→+0 4 (-1)*;4 4k is the series condition...
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Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral wi...
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Q: а. lim,(3r — 5) T-1 22 – 9 b. lim THe x2 – 4xr+3 where c= 0,1,2 22 – 9 C. lim 1→3 x2 – 4+3
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Q: If x2 + y2 = 100 and dy/dt = 4, find dx/dt when y = 6. (Enter your answers as a comma-separated list...
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Q: What is the long term behavior of the solution with the initial condition (-2, 2)? 3 1 -1 5A4 -2 514...
A: Find your answer below
Q: 3. Find the determinant of the following matrices: -5 0 1 2 -1 -1 -2 3 C. -4 -5 -6 -3 4 1 7 -8 9. T-...
A: We have to find the determinants of the below matricies.
Q: Use logarithmic differentiation to find the derivative of the following: 8. h(x) = 25x34x² ans. h'(x...
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Q: Find the area in the first quadrant that is inside the circle r = 4 sin 0 and outside the lemniscate...
A: We need to find area. NOTE - As per our guidelines we can solve one question so please upload othe...
Q: Which of the following is the general solution to the differential equa · (x – /x² + y² )dy = 0 ? dx...
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Q: ADDITIONAL ACTIVITIES A. Calculate the following. Write only the answer 12! 1. 5!-3! 4. 4!(10-1)! 3!...
A: According to guidelines we solve only first three parts. So, again upload 5th question. Thank you.
Q: 2. Let b 1, and graph C ate- using different values for a. Explain the effect of the parameter a.
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Q: Use the given graph of the function to find the z-values for which f is not differentiable. 1.A Answ...
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Q: Find the area of the region bounded by the parabola y=5x^2, the tangent line to the parabola is at (...
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Q: INTEGRAL Evaluate the following: S(a- S (a – x)-³dx 3.
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Q: Given u(t) = and v(t) = . Find the derivative of u(t) • v(t) at t = 4. Give your answer correct to ...
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Q: 2 S (x+) dx C cor?(?r)dr
A: Since you have asked multiple question, we will solve the first question for you as per our guide li...
Q: A trough is 50 ft long and has semicircular ends, with the flat side facing up. The semicircles have...
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Q: dx V4x – x2
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Q: S sec*x csc*x dx
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Q: Answer 2 only
A: In this question we will use basic concepts of calculus i.e concepts of integration. Solution of the...
Q: [1] S dx x+Vx
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Q: Graph of a function Using the graph find the following: (6.5) a, lim f(x) e. lim f(x) 4 (4.2) f. lim...
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Q: 7. Determine which of these positive integers are a) 1,5,7,11,13,17,19,21, 23,25, 29,31 b) 1,5, 7,11...
A: We know that Two numbers are said to be relatively prime if their greatest common divisor is one. F...
Q: Given the function: f(x, y) = 3x°y² – 72²y+ 5x – 4y Find the folowing: show complete solution fzy(x,...
A: Given: fx,y=3x3y2-7x2y+5x-4y a) fxyx,y: fxyx,y=∂2∂y∂x=∂∂y∂∂x fxx,y=∂∂x3x3y2-7x2y+5x-...
Q: Use implicit differentiation to find the derivative y' of the following: y²+2ye2x у?е2x + хуз — 1%3D...
A: Given :6. y2e2x+xy3-1=07. xey+3y-10x=0To find: Implicit differentiation to the derivative y'.
Q: You are inflating a spherical balloon at the rate of 7 cm³/sec. How fast is it radius increasing whe...
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- hello! can you help me answer numbers 6 and 12, please provide solution. can you also find the limit of limx->0 cos(x+sinx)Movie expenditures, in billions of dollars, on advertising in a certain format from 1995 to 2004 can be approximated by f(t) = 0.04t + 0.33 if t ≤ 4 −0.01t + 1.5 if t > 4, where t is time in years since 1995. (a) Compute lim t→4− f(t). (If an answer does not exist, enter DNE.) Interpret the answer. Shortly 1999 (t = 4), annual advertising expenditures were close to $ billion. Compute lim t→4+ f(t). (If an answer does not exist, enter DNE.) Interpret the answer. Shortly 1999 (t = 4), annual advertising expenditures were close to $ billion. (b) Is the function f continuous at t = 4? YesNo What does the answer tell you about movie advertising expenditures? Movie advertising expenditures in 1999.Evalute the limit of: lim x->0 (x csc 6x)/(cos 14x) The answer must be in simplified form or a fraction
- number 98 in strang and herman calculus 1. Can you provide a full work up as well as an explanation of the steps? I am struggling with finding 0/0 using direct substitution. https://openstax.org/books/calculus-volume-1@24.1/pages/2-3-the-limit-laws 98. limh→01a+h−1ah,limh→01a+h−1ah, where a is a non-zero real-valued constantevaluate the limits using the limit laws A) lim (x^3 - 2x^2 +1) x is approaching -1 B) lim (t^2 - t)/(t+1) t is approaching 1 C) lim (1+cos(x))/(x^3 +2)Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is suggested that you report answers accurate to at least six decimal places.) Let f(x)=e^1.9x−e^3.1x/x. We want to find the limit limx→0 e^1.9x−e^3.1x/x.Start by calculating the values of the function for the inputs listed in this table. x x f(x)f(x) 0.2 0.1 0.05 0.01 0.001 0.0001 0.00001 Based on the values in this table, it appears limx→0 e^1.9x−e^3.1x/x=
- Let h(x) = (x2 - 2x - 3)/(x2 - 4x + 3). a. Make a table of the values of h at x = 2.9, 2.99, 2.999, and so on. Then estimate limx-->3 h(x). What estimate do you arrive at if you evaluate h at x = 3.1, 3.01, 3.001,......instead? b. Support your conclusions in part (a) by graphing h near c = 3 and using Zoom and Trace to estimate y-values on the graph as x--> 3.(b) If we keep the first part of the hypothesis of Theorem 5.3.6(L’Hospital’s Rule) the same but we assume that lim f'(x)/g'(x) = ∞, x→a does it necessarily follow that lim f(x)/g(x)= ∞?, x→aConsider the function g(x,y) = x2y/x4+y2 and investigate the limit lim(x,y)→(0,0) g(x,y) I need help with e. I have attached photos of the previous 2 problems the question is referencing
- 5. Given the graph of g(x) = {√−x−2+1, x<-2 x2+2x+5, x≥-2 below, evaluate its limit as x approaches -2. a. 3 b. 1 c. the limit does not exist d. 5 6. Evaluate lim g(x) x→-3-. a. 18 b. - ∞ c.0 d. ∞ 7. Let g(x) = -1/x2. Evaluate lim g(x) x→0 by drawing its graph. a. ∞ b. 1 c. 0 d. -∞Find the limit lim(x,y)-(0,0) x+y/x^2+y^2-25 Note: This is a Calculus 3 question.Find Limit: lim t-->0 [e^(-3t)i +((t^2)/(sin^2(t)))j+cos(2t)k]; I know this has to be done component wise, I forgot how to take the limit of the j and k component => ((t^2)/(sin^2(t))) and cos(2t) from previous courses and would like an explanation on how to approach it.