Express the repeating decimal as a fraction. 0.904818181818... 0.904818181818...

Q: (х — 2)(г + 2)( +1) (х + 3)(ӕ + 1)

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Q: 33x+15 h(x) = x*+11x

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Q: f(x,y), where x = x(r,s, t), Use a tree diagram to write out the Chain Rule for u y = y(r,s,t).

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Q: 2b). Let y* + 5x2y² + yx = 624. A) Find y'

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Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

A: Given the improper integralI=∫01ln(7x)dx

Q: Consider a ladder sliding down a wall as in the figure. The variable a is the length of the ladder. ...

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Q: A. ā xb = b x ā B. Jā + 5| = |a + b| C. It is possible for la + b| < [ā|

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Q: Express the surface area of revolution for: x = (y^4/4) + 1/(8y^2), 1 ≤ y ≤ 2; x@axis ( Express ds= ...

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Q: If c = 0.118, simplify the expression cos(cos-(c)). If undefined, enter Ø. Provide your answer below...

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Q: 1. y = 2x2-5 at ( 2, 3) %3D

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Q: Find the general term of the sequence, starting with n = 1, determine whether the sequence converges...

A: We have to find sequence is convergent or not and also find its limit.

Q: 4. Let f(x) = (x – 2)² (a) Find the average value of the function on interval [1,4] (b) Find c such ...

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Q: Differentiate. y = In (8x? -7x+8) y':

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Q: 32xdx

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Q: a, Compute the Laplace transform Lf(s) of the function f(x) = x for s > 0. See Exercises 88–91 in Se...

A: Given that: a. f(x)=xb. f(x)=x2eαx

Q: 9-30 Determine whether the series is convergent or divergent. 20. S. f it is convergent, find its su...

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Q: Sketch the graph and find the area bounded by the curves for y = 2x² and y = x² + 4

A: Given query is to find the area bounded by the curves.

Q: I ... LL #3 The amount, A mg, of caffeine in the body t hours after drinking a cup of coffee can be ...

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Q: Given P(x) = x³ + 2x? + 4x + 8. Write P in factored form (as a function with a product of linear fac...

A: Given p(x)=x^3+2x^2+4x+8.

Q: a power series. Use the 2n +1 Integrate the function as 00 E(- 1)". Maclaurin series sin x= (2n +1)!...

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Q: Calculate the improper integral if it converges, or show that it diverges. 1 dx -

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Q: The graph of f is given. State the numbers at which f is not differentiable. y -4 -2

A: In this question we have to state the number at which f is not differentiable according to the given...

Q: 1 Evaluate dz, where (i) C is z+ = 2 .2 +1 C

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Q: A parallelogram is formed by the vectors [1, 2] and [3, -4]. Find the area of the parallelogram. O 1...

A: Given query is to find the area of parallelogram.

Q: Given the side length b = 9 and the angle B = 43° on the triangle below, find the lengths of a and c...

A: Given that:                              

Q: using the function given below evaluate the following

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Q: If f(x) 3 sin '(2), then f'(x)-

A: Given that: f(x)=3sin-1(x5)

Q: Use implicit differentiation to find y' and then evaluate y' at (-2,1). x In y + 6y = 3x ] y'l(-2.1)...

A: This question is related to differetiation. solve in step 2

Q: The cost in dollars of producing x units of a particular telephone is C(x) = x² - 2500. a. Find the ...

A: Follow the procedure given below.

Q: an be sold at a price of Sp. For x-p"-7p+600, find the rate of change of p with respect t ...

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Q: Express the following functions in terms of function f where y=f(x). Professor Lapan's Helpful Hint...

A: We can solve both the part as below as per the instructions of Professor Lapan's Helpful Hint:.

Q: A cylindrical tank with radius 6 m is being filled with water at a rate of 2 m3/min. How fast is the...

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Q: Given y = f(u) and u = g(x), find dx = f'(g(x))g'(x) for the following functions- y = sin u, u = 4x ...

A: Please see the solution given in step 2

Q: Find the vector equation of the line, L that passes through the points P (2, -2, 8) and Q (10, 8, 3)...

A: Given query is to find the equation of the line passing through indicated points 

Q: Find the absolute maximum and the absolute minimum of f(x,y)= 3xy-3x-6y+1 on the closed triangular r...

A: Given:- The function is, f(x,y)=3xy-3x-6y+1on the closed triangular region whose vertices are (0,0),...

Q: Provide an appropriate response. lim f(x+ h) – f(x) Find the difference quotient, for the function f...

A: Please see the answer below.

Q: integral f theta^2  cos 3(theta)   d theta

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Q: Express the repeating decimal as a fraction. 0.101010...

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Q: Critique the validity of the expression d2y dy dx2 dx A) It is not valid, because the notation d?y d...

A: The objective is to critique the validity of the expression. 

Q: A trough is 16 ft long and its ends have the shape of isosceles triangles that are 3 ft across at th...

A: A trough is 16 ft long and its ends have the shape of isosceles triangles that are 3 ft across at th...

Q: Draw a contour map of the function f (x,y) = (y – 2x)2 showing several level curves.

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Q: -dx x´ +2x+3

A: The given integral,       ∫xx2+2x+3dx

Q: Find the differential of each function. (a) y = etan(nt) dy = (b) y = V4 + In(z) dy =

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Q: 11. Verify that the conclusion of Clairaut's Theorem holds for the function: f(x, y) = e*Y sin(y)

A: The given function is: fx,y=exy siny To verify that the conclusion of Clairaut's theorem hold for th...

Q: Use implicit differentiation to find y' and then evaluate y' at (3,0). 9 ey =x? - y? y' = y' (3,0) =...

A: Let's find. 

Q: A silver dollar is dropped from the top of a building that is 1317 feet tall. Use the position funct...

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Q: sin x lim 1-e* x→0

A: Given query is to find the limit of the expression.

Q: Implicitly derive all variables in terms of x. Equate the derivative in terms of y'. Simplification ...

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Q: 3. Find the volume of the solid obtained by rotating the region bounded by the curve y = x + 1, y=0,...

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Q: Given that f(−5)=−10 and f′(−5)=−2, find an equation for the tangent line to the graph of y=f(x)at x...

A: Topic = Functions