35. Lim x2-1 X1 X-1

Q: The average price of a 0.5-carat round diamond is $3700 and the average price of a 0.75-carat…

A: Given query is to find the cost of 2.5 carat diamond.

Q: 3. Which of the following functions, 2 x(t) = 1, x(t) = ²/₁ is a solution to the DE x'= -x²? x(t) =…

A: As per our guidelines we are allowed to solve only 1 complete question. kindly repost others. THANK…

Q: 10. a² 16 = 32 -

A: We can solve question no 10 as below.

Q: 34. -6h 28 ft As shown in the above picture, a 6 foot tall man is standing on a beach at night. He…

A:

Q: ี 2 T 2

A: Graph is given . We have to find the domain and Range .

Q: ver Series method, Solve the following - y ans: y=a. (1+2×) m

A:

Q: 58)941

A:

Q: Which of the following is true? A differential equation involving derivatives of one or more…

A:

Q: The graph shows the depth it W in reservoir over a one-year period as a function of the number of…

A:

Q: 3x(e* + 1)² − 6x² e* (ex + 1) (ex + 1)4 0

A:

Q: A 100-m race ends in a three-way tie for first place. The graph below shows distance as a function…

A: Please refer to the image below

Q: The horsepower H required to overcome wind drag on an automobile is given by  H(x) = 0.00004628x3,…

A:

Q: Given that: lim lim I →→ 8 I→ 8 f(x) = 2, lim 2. f(x) = g(x) h(x) = I-8 g(x) = = - 3, and lim I-8…

A:

Q: Let C be the positively oriented circle x² + y² = 1. Use Green's Theorem to evaluate the line…

A: Greens theorem states that "for closed curve C enclosed a region R then the line integral along the…

Q: Find the derivative of g in the direction of a = 2i+ curl w at point (0 where น u+2 8 = In- J u =…

A: g=lnuu+2, u=z(xy+z2)2, w=cosxyzi+xeyz+1j+xyzk We have to find the directional derivative of g in the…

Q: Use the equation = Σ x" for |x| < 1 to expand the function in a power series with center c = 0. n=0…

A:

Q: -5x 4)Find the Taylor Series for e³* about a = 1

A: The given function is e-5x about a=1.

Q: Find the indefinite integral. (Use C for the constant of integration.) 2 z√ 25z² - 49 √₂√² dz

A: Let's solve given integral.

Q: Determine the symmetry with respect to the ?-axis, ?-axis, and the origin for the given equations.…

A:

Q: B] Find the values of the functions 1. f(x) = 2x²x+3 2. f(x)=√x²4 Find (a) f(-3) Find (a) f(-2) (b)…

A: This question can be solved using the concept of value of a function at a given point.

Q: 5 4 3 2 in -5 -4 -3 -2 -1 77 1 1 2 -3 -5+ ● 2 Write the domain of the function above using interval…

A: A graph of a function is given below. To write the domain of the function above by using interval…

Q: Calculate the Taylor polynomials T₂ and T3 centered at a = 2 for the function f(x) = x² – 3x. (Use…

A: nth Taylor Polynomial of f(x) at x=a :                Tn(x) = ∑i=0n fi(0)i!x-ai =…

Q: a) Find the simplified form of the difference quotient for the function f(x) = 5x² – 3x. b) Complete…

A: We have to compute quotient difference in this question.

Q: tha Guen that U is a universal set.. Contains all whole numbers less than 10 and A and B are subset…

A: Given data:- u is a universal set that contain all whole number less than 10 A &amp; B are subset of…

Q: The unit cost, in dollars, to produce tubs of ice cream is $12 and the fixed cost is $7200. The…

A:

Q: The function f(x) has a critical point at x = 3. This could mean that A. There is a minimum at x-3…

A: Given that the function f(x) has a critical point at x=3.

Q: Find the slope of the line through P and Q: P( – 2, 2) and Q( – 4, 5). -

A: Given query is to find the slpe of the line passing through P and Q.

Q: A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a…

A: A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a…

Q: solve the differential equation

A:

Q: 12. Find the antiderivative of the following expression: sin (x)] 6sec (x) - 12cse' (x)] A. 6sec (x)…

A: Integration formula ∫ (cosec2xdx) =-cotx+c ∫xndx=xn+1n+1+c

Q: Solve the differential equation. x + 2y = 5-1, x>0 X- dy dx A There is no correct answer from among…

A: To solve the following differential equation.xdydx+2y=5-1x,  x&gt;0

Q: a focus is at 2. The center is at (-2,4), a vertex is at (3,4), and (4,4)

A: We have to find the equation of ellipse.   According to our guidelines we can solve only one…

Q: Find the slope (if it is defined) of the line determined by the pair of points. (If an answer is…

A: Given query is to find the slope of the link ne.

Q: 'ind the general term of the sequence, starting with n = Determine whether the sequence converges,…

A: Topic:- sequence and series

Q: How does the second to last step come about? How does "log(5^x/2) + log(5^1/2)" turn into "log (sq.…

A: Note: From seeing the previous explanation we observe that there is a typing error in the second…

Q: E] Find domains and ranges of the following relations? Write domains and ranges in interval…

A:

Q: 2. f (cos 5x −sin 5x) dx cos²5x

A:

Q: (y-x)=y-x+ 2; y=x+2√x+4 When y=x+2√x+4. Y' = Thus, in terms of x, (y-x)y' = y-x+2= Since the left…

A: If  y=x+2x+4 is a solution of (y-x)y'=y-x+2 then it must satisfy it.

Q: 6 by power Series method, Solve the following ODES: Σ m=0 amxm = a₂ + a₁x + a₂x² + a3x³ +....... •ý…

A: The solution of the differential equation is given below.

Q: 24. What does the integral test tell us about the summation below? A. The integral test cannot be…

A:

Q: Evaluate the following Limits: 3 1. lim x418 2. lim 1 3+ 2x x-1 x-1 √4x+5-3 3√x6+8 3. lim x→∞0…

A: Here is the required solution:

Q: determine if the sequence an converges or diverges.  Find the limit if the sequence converges. an…

A:

Q: TRUE or FALSE Write true if the statement is true and False if otherwise. Write your answers on the…

A: We have to define if the given statements are true or false.     According to our guidelines we can…

Q: Find a formula for the power series of ƒ(x) = 2 ln (1 + x), −1 < x < 1 in the form Σan. n=1 2 1 + x…

A:

Q: If you use the ratio test on the divergent series inequalities will result? A. lim,- >1 > 1 1 >1 81…

A: Topic:- sequence and series

Q: A function g is given by g(x)=x²-9. Find g(-9), g(0), g(7), g(a+h), and g(- 9) = (Simplify your…

A:

Q: The count in a bacteria culture was 200 after 20 minutes and 1900 after 40 minutes. Assuming the…

A:

Q: Find the general solution of the given differential equations. A. (xy² − 4x)dx + (2x² + 4)dy = 0 B.…

A: Topic:- application of integration and differential equations Note :- as per our guideline if more…

Q: في Lim X-1 X1 X²-1

A: Hint : Factorise denominator

Q: Does the sequence an converge or diverge?  Find the limit if the sequence is convergent.…

A: Calculus