Use a table of values to evaluate lim 2x³-250 Olim x+5 x²-25 2x³ - 250 Olim x+5 x²-25 2x³-250 Olim x+5 x²-25 2x³-250 Olim x+5 x²-25 = 15 = 15.00150 does not exist = -8 2x³-250 x+5 x²-25
Q: Solution of the differential equation - ytanx = sinzcos² z y² is
A: dydx-ytanx=sinxcos2xy2
Q: A B True False The differential equation f(x)dx + g(y)dy = 0 is exact.
A:
Q: f(x, y) = 3y-6x+3 In(1-x)+1
A: we know Domain of lnX=(x; x>0 )
Q: Use the method of variation of parameters to determine the general solution of the given…
A:
Q: Horizontal asymptote(s): y = f(x) = Find the horizontal and vertical asymptotes of f(x). If there…
A: We need to find asymptote.
Q: A B du Which of the following is the general solution of dx u² + 2x² = C xu²+u = C ²x²u²+2u = C…
A:
Q: Find the following derivatives. Express your answer in terms of the independent variables. Ws and…
A: We use rule of Differentiation to solve this question
Q: Use the graph to estimate the open intervals on which the function is increasing or decreasing.…
A:
Q: b) Use the ratio test to determine whether the series k Σk² +1 converges. If the test is…
A:
Q: Find the volume of the solid of revolution generated by revolving about the line x = − 4, the region…
A:
Q: Find the line through (7, 1, -6) that intersects and is perpendicular to the line x = -1 + t, y = -2…
A:
Q: ƒ(x) = = (x + 1)(x+2) x² - 3
A: As we know that; The Sum/difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 The Product rule:…
Q: Let f (x) = x2 −x −2. Using the Intermediate Value Theorem, explain why this function has (at least)…
A:
Q: The integrating factor for (2y – xy²)dx − (3x + x²y)dy = 0 is
A:
Q: d the center and the radius of the circle with the equ 2 Enter the center as an ordered pair (x, y).…
A:
Q: ermine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…
A: Given query is to find integral converging or diverging.
Q: Find the parametric equation for the line where the planes 2x - 2y + 8z = 24 and 10x − 3y + 6z = 18…
A:
Q: Solve
A: Topic:- vector algebra
Q: What is the area of the triangle with vertices given by (22, 12, 21), (22, 16, 21), Area =
A: Topic -Area of triangle We are given, vertices of triangle as (22,12,21),(22,16,21),(22,12,29)We kow…
Q: A tank initially contains salt in the pores if inert material and 10 gallons of fresh water. The…
A:
Q: (A) The integrating factor for (2y - xy²)dx - (3x+x²y)dy = 0 is 5 2xy 5xy
A: If a differential equation Mx, y dx + Nx, y dy = 0 has the form f1xy y dx + f2xy x dy = 0 and if…
Q: Question 10 How many values of c satisfies the consequent of the Intermediate Value Theorem for the…
A: Since you have posted multiple question in this question which are not interlinked so i have solved…
Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…
A:
Q: 4) f(x) = (x³+3X4x+D сха X.
A:
Q: 2-x², x20 Fiven f(x) = 4 20). x+c x < 0 find the value c so that f(x) will be continuou
A: Topic:- calculus
Q: Find the inverse of function f and check your ans f(x) = (x − 2)² + 4 if x ≥ 2
A:
Q: Find the parametric equations for the tangent line to the curve x = t³ − 1, y = t² + 1, z = t¹ at…
A:
Q: r(0) = 4 cos³(0)i + 6 sin³(0)j, 0≤ 0 ≤ 2π
A: Given that : r(θ)=4cos3θi+6sin3θj, 0≤θ≤2π
Q: Find the derivative dy/dx by implicit differentiation √x + y = 1 + x2y2 (the…
A: Point to remember:- y is a function of x
Q: Evaluate the limit. (Use symbolic notation and fractions where needed.) lim [x (x-8)(x + 3)] = x115
A: The limit is given by limx→-5xx-8x+3 To evaluate: The value of the limit.
Q: x ln xdy + (y-2 lnx)dy = 0
A:
Q: Determine the area bounded by x = -y² + 10 and x =(y-2)²
A: Given curve :x=-y2+10x=y-22
Q: x³ - 1 lim x→1 x² - 1
A:
Q: Use implicit differention to find an equation of the tangent line to the curve at the given point…
A: Derivative is the key for such problems
Q: In Exercises. the region. 37. 3 2 ), use an iterated integral to fi y=4-x² X
A: Topic:- Calculus
Q: 2. Let f(x, y) = Give the exact value of the following and simplify to lowest terms. a) f (1,2) b)…
A:
Q: -7 -6 -5 -4 -3 -2 -1 6 5 4 3 2 1 -1- -2 -3 -4 -5 (C 1 2 3 4 5 6 7
A: We will find the required.
Q: 3. A ball is thrown vertically downward from a height of 240 feet with a velocity of 32 ft/s. How…
A: We know that height "h" achived by a particle with initial velocity u and accelaration due to…
Q: For the given position vectors r(t) compute the unit tangent vector T(t) for the given value of t.…
A: Recall: T(t)=r'(t)r'(t)
Q: elnx 8) fex dx g) √1-e²t dt (Hint: let u = e¹) h) fx dx dx (let u = x¹/2)
A: g)∫elnxxdx
Q: 5. Approximate Ay using differentials for y = x² - 4x at x = 6 when Ax = dx = 0.03.
A:
Q: Find the center, vertices, and foci of the ellipse given by the equation. Sketch the graph. x² y² +…
A: given equation of ellipsex264+y2100=1
Q: 3 For the equation +7x²y = 0, y(0) = ², the value of y(1) is dx
A:
Q: Find the vertex, focus, and directrix of the parabola given by the equation. (x - 3)² = 4(y + 1)…
A: The given equation of parabola is x-32=4y+1 We have to find its vertex, focus, directrix.
Q: The sales of a new high-tech item (in thousands) are given by the following function, where t…
A:
Q: valuate the integrals for f(x) shown in the figure below. The two parts of the graph are…
A: Given query is to find the value of the integral.
Q: 2. Prove that the general solution to ndm + mdn + mn (3dn + dm) = 0 -3n-m is Cmn = e
A: To prove that the general solution to n dm+m dn+mn3dn+dm=0 is cmn=e-3n-m.
Q: A) True B) False The differential equation f(x)dx + g(y)dy = 0 is exact. ...
A: Let's find given differential equation is exact or not.
Q: Find the positive t when the vector →r(t)=⟨9t,9t2,9t2−23⟩ is perpendicular to →r'(t).
A:
Q: p(x) q(x) points for such a function? 1. Suppose f'(x) = where p(x) is linear and q (x) is a…
A: A point x=a is said to be a critical point of a function f(x) if(i) f(a) exists and (ii) f'(a)=0…
Step by step
Solved in 2 steps with 1 images
- Determine the uncertainties in x2 and y2 using the rule for propagating uncertainties when multiplying two numbers. x=80, y=60, ∆x= ∆y=5.A soda company sells one of its soft drinks in 12 ounce cans. In order to ensure that every can has at least 12 ounces in it, the machines in the factory are set to fill each can with an average of 12.1 ounces of soda. Every week, a quality-control technician tests 10 cans to make sure that the average amount of soda in the cans is still 12.1 ounces. If the conclusion of the test is that the number of ounces of soda in the cans is different from 12.1, the technician will declare that the process is out of control, and the machine will be stopped and calibrated. From previous tests, the technician found that the standard deviation of the number of ounces of soda in the cans is approximately 0.01. The number of ounces of soda in the 10 cans that were tested this week is given below. Assume that the standard deviation from the technician's previous tests is the population standard deviation. Use a TI-83, TI-83 Plus, or TI-84 calculator to test whether filling process is out of control and…Produce a COUNTER-EXAMPLE to show that
- Suppose that there are 4 deaths due to stomach can- cer among workers in a tire plant from 1/1/64 to 12/31/83, while 2.5 are expected based on U.S. mortality rates. Provide a 95% CI for the expected number of deaths from stomach cancer over 20 years among the tire workers. Is the number of cases of stomach cancer excessive?A tennis player makes a successful first serve 51% of the time. If she serves 9 times, what is the probabiliyt that she gets exactly 3 successful first serves in? Assume that each serve is independent of the others.Sketch the nullcline for: x' = 4 - y2 + x2 Explain.
- An explosion at a construction site could haveoccurred as the result of static electricity, malfunctioningof equipment, carelessness, or sabotage. Interviews withconstruction engineers analyzing the risks involved ledto the estimates that such an explosion would occur withprobability 0.25 as a result of static electricity, 0.20 as aresult of malfunctioning of equipment, 0.40 as a result ofcarelessness, and 0.75 as a result of sabotage. It is alsofelt that the prior probabilities of the four causes of theexplosion are 0.20, 0.40, 0.25, and 0.15. Based on all thisinformation, what is(a) the most likely cause of the explosion;(b) the least likely cause of the explosion?using results obtained in Q6the local survey has reported that 38% of corona cases in 2019 werevresistant to at leat 1 of gthe 3 major antibioticsd used to treat corona.a doctor treated 10 cases of corona in 2019 find the prob that 1 or more out of the 10 were resistant to all the 3 antibiotics .