Theorem 1 Sequence Defined by a Function Let f(x) be a function defined on c, o] for some constant c. If lim∞ f(x) exists, f(n), defined for n > c, converges and then the sequence an= lim an = lim f(x) n00 Use Theorem 1 to determine the limit of the sequence or type DIV if the sequence diverges. An = 3 lim an

Q: Find the angle of intersection of the plane 2x+3y+5z=−32x+3y+5z=−3 with the plane 3x+2y−1z=0

A: Given: - The plane is, 2x+3y+5x=-3, with the plane 3x+2y-z=0 To find: - The angle of intersection of...

Q: Evaluate the iterated integral. 7 dx dy

A:

Q: (2x - 5) 2 What should be the rewrite of the integrand of -dx so that the resulting integral is inte...

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Q: Use the product rule to find the derivative of (7x- 7x) (7e-9) Use e^x e. You do not need to expand ...

A: We have to find the derivative.

Q: An initial population starts out at 1,000. An hour later, the population is 2,000. Find how long it ...

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Q: For any polynomial function f(x), the limit of f(x) as x approaches a is always f(a). Select one: O ...

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Q: At noon, ship A is 170 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing no...

A: In this question we have to find how fast is the distance between the ships is changing at 4:00 PM.

Q: do not evaluate)  When finding the volume generated by revolving y = 2 − x^2 and y = x^2. JUST Set ...

A: Given: y=2-x2y=x2

Q: 3. Find the 8th term in the binomial expansion of (x² + y³)10. correct combination, evaluating combi...

A: We will find the 8th term. 

Q: Let f(x) = |r|. The derivative of f at a = 0: Question 1. a) Equals to +1 b) There are infinite poss...

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Q: x3 - 27 dx. x - 3 Find the antiderivative of

A: find the antiderivative of ∫x3-27x-3dx

Q: (h = 0.1) (h = 0.05) У(1.2) ~ У(1.2) ~

A: FOLOOW THE PROCEDURE GIVEN BELOW.

Q: 1+1=?

A: Given that we need to find the value of the following expression.

Q: ermine the solution to the initial value differential equation dy ( = 10 x7Y+5 y (0) = 10

A: Given query is to find the solution of the differential equation.

Q: QUESTION 3 Evaluate the integral. Give an exact answer. /2 sin (x)cos (x)dx = [Ans] %3D Show your wo...

A: Given query is to find value of the integral. We will use substitution and trigonometric identity to...

Q: 4. A metal is heated up to a temperature UI J000C. Il 1J UIUI will the temperature be 1000C? what is...

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Q: Find the area of the shaded region. y x = y -8 -6 -4 -2 4 Hy=-1 2.

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Q: Given that 7(1 + h) – 7(1) = (h - 1 + cos(h), e" -e-", In(2h + 1)) for all h where -. a 7'(1 : (inpu...

A: We will use the definition of derivative to find r'(1) as shown below

Q: The function below is continuous at every real.number. Find the value of (m + 3/2). 1– 2x if x >4 mx...

A: We have to find 

Q: d?y dy + 5 14y dx2 dx Determine the Characteristic Equation for the given Differential Equation.

A: For solving such differential equation we put y=erx, where r is any constant.Since , d(eax)dx= a eax...

Q: d The power rule for finding derivatives is dx for all exponents n. 9 as 9Vn for some n. V In order ...

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Q: Determine the solution to the initial value differential equation y' = 0.0012 y (2900 – y) , y(0) = ...

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Q: coefficients type and homogeneity. State the independent variables ar 1. ý + P(x)y = Q(x), %3D 2. 44...

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Q: (3 (-6 7/ 3 3. If A = -2 2). B =G ) and C =(,"). Find AA™BC. 4 -2. 4 2 (2 3 4 4. Find the co-factor ...

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Q: Write the function g(x) in terms of the function f(x).

A:

Q: dy If y (t+ 2t + 6) (7t + 6), r find dt dy dt

A: Given  y=t2+2t+67t2+6y=7t4+6t2+14t3+12t+42t2+36y=7t4+14t3+48t2+12t+36

Q: given

A: We will solve the integration. 

Q: 5x² – 4 dx x3 + 2x2 3.

A: (3) Given: - The indefinite integral is, ∫5x2-4x3+2x2dx To find: - The solution of the given indefin...

Q: What is the volume of the solid generated when the region in the first quadrant bounded by the graph...

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Q: d) Graphs of the revenue and cost functions are shown below. Answer the following questions. R(x), C...

A: topic- functions 

Q: 30 f(t) dt = 11 f(5) = 23 • f(30) = 27 f(6 In(x)) dr Evaluate:

A: Given: ∫030f(t)dt=11...............(1)f(5)=23.................(2)f(30)=27................(3)

Q: x³ – 27 dx . x - 3 Find the antiderivative of A x3 – 3x2 + 9x + C x2 3x B) + 9 + C - - 3x2 9х + C 3x...

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Q: et + e-* 4. Find the area of the surface generated when the function y = on the 2 interval [0, 1] is...

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Q: x-4 The lim,4 Va-2 does not exist. Select one: O True O False

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Q: sec?xdx Evaluate the given function ſ 1-4tanx

A: put 1 - 4 tan x = t , differentiating with respect to x      d/dx(1 - 4 tan x) = dt/dx      d/dx(1) ...

Q: Select all transformations involved. g(x) = -5 f(x) +7

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Q: Find the area of a triangle bounded by the y axis, the line f(x) f(x) that passes through the origin...

A: Given: - The line f(x)=7-13x and the line perpendicular to f(x) that passes through the origin, To f...

Q: Use Newton's method to find an approximate solution of 7 - 9x =x. Start with x, = 1 and then find x....

A: Here, the given equation is: 7-9x=x3⇒x3+9x-7=0 Let, f(x)=x3+9x-7 And, the initial value given is: x0...

Q: Textbook @ Videos [+] Score on last try: 0 of 10 pts. See Details for more. > Next question 3 Get a ...

A: We are asked to find the derivatives.

Q: For which value(s) of a and b is y = abx concave up? b>1, a<0 00 0<b<1,a<0 b>1,a>0

A: We have find correct option

Q: Thus, the graph of f(x) = 4 cos(X) (x, y) = ( ) (smallest x-value) (х, у) %3D ( (x, y) = ( ) (larges...

A: We will find the points as shown below

Q: Obtain a family of solution 1. [x-y arctan(y/x)]dx + x arctan (y/x)dy = 0

A: Solution is given below:

Q: Find   Where C is the boundary of the area bounded by the graph y = 3x and y = 4-x2 with a positiv...

A: We know that Green Theorem state: ∫CPdx+Qdy = ∫∫D∂Q∂x-∂P∂ydA

Q: Activity 4: Determine whether the left-hand side of the equation is equal to its right hand side. Wr...

A: 3) PANIS  

Q: 3. / or(1- ) csc²(1– y)dy

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Q: Given that lim f(x) = - 2 and lim g(x) = 3, find the following limit. X3 X-3 lim [7f(x) + g(x)] X-3 ...

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Q: Suppose that you are given nonzero vectors a, b, and c in R. Using the dot and cross products, give ...

A: As per Bartley guidelines we are supposed to answer only 3subparts per question. This post contains ...

Q: x^2(lnx-lny)dy=y(ylny-ylnx)dx

A: Explained below 

Q: 2. 2) tan- 1 4) sin- 6) tan-1 V3 -1 01_ V3 10) sin -1 2. 12) tan-! 3.

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Q: Evaluate the definite integral (5et + 8x)dx using Part 1 of the Fundamental Theorem of Calculus. Ent...

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