Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim 7 cot(x) X-R

Q: if x ≤ 9 - {800 6x + b if x > 9 If f(x) is a function which is continuous everywhere, the Let f(x)…

A:

Q: Use one or more logarithm identities to show that In (2) In(x) for any > Use one or more logarithm…

A: we have to do as per the question.

Q: Express the repeating decimal as a fraction. 4.717171...

A: Given,            4.717171....To find : Express the repeating decimal as a fraction.

Q: Solve the initial value problem. dy 3 dx - = x˚ (y - 5), y(0) = 9

A:

Q: Find the time required for an object to cool from 300°F to 240°F by evaluating the following where t…

A:

Q: 53. I 0 f(x) f'(x) g(x) g(x) (A) 15 (B) 3 (C) 2 (D) -5 4 1/1/13 2 - 2 32 3339 The table above gives…

A:

Q: 020) In H.G., if AABC~ AA'B'C' (similar)and AB-12, BC=14, AC=16. Then the perimeter of AA'B'C' is:…

A:

Q: The point P(1, 0) lies on the curve y = sin( (a) If Q is the point (x, sin(¹3″ )), find the slope of…

A:

Q: Solve the differential equation by separation of variables: (x²+4) dy + x²y²dx=0 Ⓒ 1 y There is no…

A:

Q: Use the vertex (h, k) and a point on the graph (x, y) to find the Standard Form ( f(x) = a(x − h)² +…

A:

Q: 1 3. f(t)=√3-2t; f(1), f(−3), ƒ(0)

A:

Q: Q8. Let ABC be a triangle in the E.G. Assume E, F points on AB. AC respectively such that…

A:

Q: Find the values of m and n that make f(x) continuous over (-∞, ∞): f(x) = m= n= 4 x-2 mx² - nx 2x -…

A: Topic- Limits and continuity

Q: Relative change is the ratio of the amount of change to the original amount. In this case, this…

A: To find out the relative change in the average household income from 2008 to 2018.

Q: 5-4 TIME FOR A LUMP SUM TO DOUBLE. If you deposit money today in an account that pays 4% annual…

A: On solving this we will get

Q: Prove the identity. sin (x-y) = tanx-tany cosx cosy Note that each Statement must be based on a Rule…

A:

Q: (1³7). (a) If Q is the point (x, sin(¹37)), find the slope of the secant line PQ (correct to four…

A: We have to find the values  of slope at given value of x.

Q: Solve the differential equation 4. xdx e-x + (Y+) dy y³

A:

Q: Convert 3.2 ft2 to square inches

A:

Q: Can you break down the right side integral? I get lost on line 3 where you did integ. by parts

A: As you have asked for only evaluation of right side integral, I am doing only that. Hope it helps…

Q: Suppose the quantity (in grams) of a radioactive substance present at time t is Q(t) = 38,416…

A:

Q: Find any relative extrema of the function. (Round your answers to three decimal places. f(x)=…

A:

Q: limx→0 sin 2x 2x²+x

A:

Q: if f(x) = %79.1 x²√In x² x -. find the derivative of this function f'(x) A. f'(x) = - 1 3:16 1-In x²…

A: The given function is; f(x)=x2 sqrt(ln x2)/x.

Q: Consider the vector field F (x, y, z) = (z + y)i + (4z + x)j + (4y + x) k. a) Find a function f such…

A:

Q: A. Complete the table below Given 1. 2x - 3x² = 5 2. 4 – x2 = 5x 3. (2x + 5)(x-4) = 0 4. 2x(x - 1) =…

A: Standard form of the quadratic equation : ax2+bx+c =0 . Note : As per our Guidelines we can solve…

Q: Toflow (2) y = √sinh √tan x

A:

Q: 41. How close to -3 do we have to take x so that 1 (x + 3)4 > 10,000

A: See this solution in below.

Q: Find the particular solution of y (9x - 2y) dx -x (6x - y) dy=0., when x=1, y=1. Let x=vy

A:

Q: (a) Compute the solutions x, y of the system of two linear equations 3x + y = 1, 2x 6y = 10. (b)…

A:

Q: 4. Find f '(0.5) for f(x) = [Arc tan(t)dt - Arc ta O 0.8 0.131 O 0.120 O 0.464

A: The function fx is given by fx = ∫0xArctantdt To evaluate: The value of f'0.5

Q: Help with problem C please.

A: Topic:- function and derivatives

Q: For the homogeneous equation (y² + 2xy) dx -x²dy = 0, which is a better substitute: letx=vyory=vx?…

A: The given equation is; (y2+2xy)dx -x2dy=0.

Q: (a) Find the point at y = x³ + x, if the slope is equal to 4. Then find the equation of tangent…

A:

Q: For the function f(x) = 6x² *, evaluate and fully simplify each of the following. f(x + h) =…

A:

Q: Compute the indicated value of the given function 1. f(x) = 3x + 5; ƒ(0), f(-1), f(2) 2. f(t) = (2t…

A: Function

Q: Use Horner's method to evaluate P(x)= x - 4x²-3x+5 at po = -2. b) Use Newton's method to find p₁.

A:

Q: MOOrisdi MOO Tisdi scher 2. duty or gaiteanno f(x) + de eixe vilestion 29019 + 0 2 X 9709

A:

Q: Find the angle between in the two planes a = (1,2,3) and b =(4,-5,6)

A: Let's find angle between two plane.

Q: 1 (x²+4)² dx

A: To find out the integration.

Q: Q4: Solve the following integrals:- (1) S x3-2x2 dx (2) √ √² √9-x² (3) [ xả sin xdx (cos-¹4x)…

A:

Q: By using the iterative formula Xn+1 and xo = O O 0.3652 O 1.3652 O2.6352 = 1.5, then the value of x5…

A: Find the value

Q: f sec (5x)tan (5x) dx A. 5 B. 1/2 cos 5x + C C. tan 5x + C D. 15 sec 5x + C ²5 csc 5x + C

A: The given indefinite integral is: ∫sec(5x)tan(5x)dx Necessary formula: ddx(sec x)=sec x tan x ⇒∫sec…

Q: Let f(x) = √x + 6. Calculate the difference quotient f(10+h)-f(10) for h h = .1 h = h= h = .1 If…

A:

Q: Determine the infinite limit limx→2− x^2 − 2x/ x^2 − 4x + 4

A:

Q: 1. fx² sec x³ tan x³ dx

A:

Q: Which of the following equations is NOT a variable separable differential equation? A B C D (xy -…

A: We have to choose the equation which is not a variable separable differential equation.

Q: Closed book, closed notes, no calculators. You have to show complete work for full credit; make sure…

A:

Q: x+2 x³-4x²-12x 1. For the curve y = , find, a. The value/s of x that make/s the function…

A:

Q: (cos-14x)2 √1-16x² 5) S (t) - dx

A: To find out the integration.