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.) cos(9x) - cos(5x) Let f(x) = x2 We want to find the limit lim *→0 cos(9x) cos(5x) x2

Q: day 2x + 5x dx4 dy 3 dx' - xy = 0

A: To write down the degree and order of the differential equation.

Q: Find the derivative of the vector function r(t) = ln(19 - t²)i + √17+tj − 7e-¹t k - r' (t) = (¯¯

A:

Q: 1. f(x) = (x (x+1 if x ≤ 0 if x>0

A:

Q: Evaluate the following definite integral. 6 Ste¹(-i-j+k)dt 0 Select the correct choice below and…

A:

Q: xp x + 1^₂x

A: Here is the solution:

Q: Prob 2 Use the Direct substitution rule and justify why you can use it to evaluate Лет 2-2 ln x + ex…

A:

Q: Show the complete solutions. Family of horizontal parabolas whose h to k ratio is 2 Ans: 2xy" - 4yy"…

A:

Q: Solve the following linear equation by Cramer's rule:- x+y+z=3 x + 2y + 2z = 4 x+4y+9z = 6

A:

Q: Evaluate by Beat function: 1 = 5 x²-1 dx 1 + x4 Hint: Bixig) = ] _*-1 ans: (1+tjxty 1| + Sin Ta dt

A:

Q: 2. Eliminate the arbitrary constants of the equation below, where ß is a parameter. 4 x = C₁eßt + C₂…

A: To find- Eliminate the arbitrary constants of the equation below, where β is a parameter. x = c1eβt…

Q: So 1 x²+7x+10 A. B. C. D. 3ln 2-ln 2 3 3ln 2+ln 2 3 3ln 2-ln 2 5 3ln 3-ln 2 3 dx

A: The given integral, ∫011x2+7x+10dx use the integral formula, ∫dxx=ln x+C

Q: 1. t. Determine the order of each of the following differential equations, and state whether it is…

A:

Q: Add. 7 9 2 (x+8)² x²+x-56 + 7 9 2 (x+8)² x²+x-56 (Simplify your answer.) +

A:

Q: Question 1 Define Q as the region bounded by the functions f(x) = x and x = in the first quadrant…

A: Volume of solid on revolution around y-axis  is given by V=π∫cdf(y)2-g(y)2dy  where c≤y≤d

Q: During an 8-hour shift, the rate of change of productivity (in units per hour) of infant activity…

A:

Q: 1. For each statement, determine if it is True or False and explain why. x²-4 x-2 =x+2 b. lim *-* =…

A:

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

A:

Q: 1. Solve the Differential Equations. (3x² - 2y²) y' = 2xy

A: Ode

Q: List the x values of the discontinuities of the function below: y = In (tan²(x)) over the interval…

A:

Q: -1 Using Doolittles method for the following matrix A = 0 L-2 L- matrix and U - matrix. 2 11 86 0 51…

A: Given, A=-121086-205

Q: A teacher is grading a test. A student got 43 out 58 points. Part A: Should the teacher estimate or…

A:

Q: So 1 x²+7x+10 3ln 2-ln 2 dx

A:

Q: Find the area of the parallelogram whose diagonals are represented by the vectors a = (3,-3,1) and b…

A: As we know that; The expression for the area of the parallelogram with the diagonals a→ and b→.…

Q: if f(x) = x + 5*. find the derivative of this function f'( A. f'(x) = 5* In 5

A:

Q: You are planning to donate exactly 5% of your income to charity. Your weekly paycheck is $753.98.…

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: 6. Write the following power functions in the form f(x) = kx² a. f(x) = -³/3 x3 b. f(x) = ³² c.…

A:

Q: Find the x-values (if any) at which f is not continuous. If there are discontinuities, determine…

A:

Q: What are the criteria for continuity at any graph? given point on a

A: We have to find out continuity property

Q: Is there a specific way to identify, analyze and find a solution to inequalities that are rational?…

A: Solution: There is a specific way to solve rational inequalities. Let's take an example of it. Solve…

Q: Solve the following integrals:- (2) S dx (1) Sx3-2x² dx x²√√9-x²

A: As per bartleby guidelines we only give first question answers.  Please repost for other parts.

Q: A. by extracting square roots. 1. x2 = 169 2. 9b2 = 25 3. (3y - 1)2 = 0

A:

Q: Find the General Solution Choices: 1.x4=c2(4x2+y2) 2. X2=c2(4x+y) 3. X2=c2(4x2+y) 4. X4=c2(4x2+y)

A: Since this a homogeneous differential equation of degree 2 thats why we replace y=vx and solve it to…

Q: A research lab grows a type of bacterium in culture in a circular region. The radius of the circle,…

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: Ső 1 x²+7x+10 dx

A:

Q: Find the inverse of f(x) = 2/(x2+1) where x is greater than or equal to 1. State the domain and…

A:

Q: Find a parameterization xy-plane, centered at the origin, clockwise. x (t) y(t) z(t) - = for the…

A:

Q: Use the difinition of error function Prove that: 5(1/₂/2) = 5T let: ere (x) = 33/3324 dt

A:

Q: 1. Determine the order of each of the following differential equations, and state whether it is…

A:

Q: Find the area between the x-axis and the curve y = -x² - 2x, -3 ≤x≤ 2.

A: Solution: Given that Curve is y = -x^2 -2x Area between the x axis and the given curve is

Q: √ ¹ (1+√x)3 √x - dx

A:

Q: In Exercises 9-14, sketch the graph of the function. f(x) = 3x - 2

A: If f(x) is a function whose graph is known.  Then, the graph of f(x)+a will shift a units upward…

Q: Find the parametric equations for the tangent line to the curve x =t* _ 1,y=t* +1,z=t* - at the…

A:

Q: Find a vector parametrization of the circle of radius 5 in the xy-plane, centered at the origin,…

A: Solution: Given, Circle having center at (0, 0) and radius is 5 and

Q: 5. Let f(g(x)) = H and H = √√x² + 4 a. If f(x)=√x, what is g(x)? b. If g(x) = x2, what is f(x)?

A: f(g(x))=Hand H=x2+43

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: Given the integral from 0 to x of the function e-x^2dx: Find the summation form of its Maclaurin…

A:

Q: The table gives the population of a country, in millions, for the years 1900-2010. Year P = 1900…

A: NOTE: Refresh your page if you can't see any equations. . x=number of years after 1990 y=population…

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