Evaluate the limit: x2−9−/5x+15=   limx→3

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Q: 5. x sin 3) lim00 x+1

A: limx→∞x5sin5xx4+1=limx→∞ x5sin5xx41+1x4= limx→∞ x sin5x1+1x4 = limx→∞  sin5x1x1+1x4=limx→∞ 5 sin5x5x...

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A: By the Newtown formula to find the Xn+1.

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A: Let x  be the length of square.So the length of circle will be 3-x.Perimeter of square(P)=4s4s=xs=x4...

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Q: 15. х*у' + 2ху 3 In x, у(1) — 2 %3D

A: Please refer to the image below 

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Q: i) 4x + 256x²-8x-512 = 0 ii) (x+5)² -35 =29

A: i) 4x3+256x2-8x-512=0dividing by 4 O.B.Sx3+64x2-2x-128=0x2(x+64)-2(x+64)=0(x2-2)(x+64)=0(x2-22)(x+64...

Q: Suppose w=X®y7 + xy +z +3 and x=3 cos t 3= 2t. then y =3 sin t, dw M bridod eu m d brwod seg ud.

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Q: Consider the parallelepiped with adjacent edges u = 7i + 4j + k v = i+j+9k w =i+8j + 8k Find the vol...

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Q: Find dy/dx of the following function using Chain Rule. y=(-3x5 +1)3

A: we use chain rule for differentiation y=(-3x5 +1)3 dy/dx =3(-3x5 +1)2(-15x4) dy/dx = -45x4(-3x5 +1)2...

Q: Consider the limit 20. (ze/* - a). z05/= - a). a) What type of indeterminate form is this? O 0.00 O ...

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Q: Writing a Definite Integral In Exercises 1-6, write the definite integral that gives the area of the...

A: Given: let f(x)=y1 and g(x)=y2 The graph is

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Q: Solve (cosxcosy-cotx)dx-sinxsin?ydy=D0. O sinxcosy=In(ccosx) sinxcosy=-In(ccosx) sinxcosy=In(csinx) ...

A: Let's find. 

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Q: Use sigma notation to write the sum. 5 5 5 4 + 1 4 + 2 4 + 3 4 + 12 Σ

A: By using sigma notation to write the sum.54+1+54+2+54+3+...+54+12  

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Q: 5-14 1 Solve the differential equation. 5. y' + y = 1 6. y' – y = e* 7. у' 3 х — у 8. 4x’y + x*y' = ...

A: According to our guidelines we can answer only three subparts.Question 5,Given,           y'+y=1

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A: By using Newton's method to approximate a root of the equation 3x7+8x4+2=0.

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A: The tetrahedron with vertices P-3,2,0, Q2,1,-3, R1,0,1 and S3,-2,3

Q: If the first term of an AP is -10 and the common difference is 2 At which term will the value equal ...

A: an = a + (n-1)d  Here a =-10. , d = 2 and an = 0  Then find n 

Q: If f(x) = f(t) dt +5x, and f(0) = 0, what is f(2)? Select one: a. e? - 5 O b. 5e? – 5 О с. 5е-5 O d....

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Q: Determine the modulus and argument of the complex numbers Z = 2 + j3 and express Z in polar form Det...

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Q: 3X1+ 5X2-3X3=9 2X1+6X2+4X3=14 -5X1+2X3=D10

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Q: Use the Product Rule or the Quotient Rule to find the derivative of the function. y = 5x6 sec(x) y'=

A: Find your answer below 

Q: Determine the length of the arc on a circle a? + y? = 100 from a = 3 to x = 5 in the quadrant IV. O ...

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Q: a) Which of the following is the correct definition for the nth Taylor Polynomial for the function f...

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Q: entiable at x = 1. What is f'(1)?

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Q: anx" + + a1x + ao An 4. If f(x) = bn with an #0 and b, #0, show that lim f(x)% = ... %3D .. + b1x + ...

A: As per the guidelines I am supposed to do the first question among multiple questions. So I am doing...

Q: Assume that 6% of the sixth graders and 3% of the fifth graders participate in Math Olympiad. There ...

A: 1st question is based on percentage application and second is on formula  (a+b)(a-b) = (a2-b2)

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Q: Find the absolute extrema of the function on the closed interval. f(x) = 4 – x, [-3, 2] minimum (х, ...

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Q: du 17. t = t² + 3u, t> 0, u(2) = 4 dt

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Q: Solve using optimization 2. Find a pair of non-negative number that have a product of 162 and minim...

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Q: Find a positive root of equation x - 2x - 5 = 0 by the method of fixed-point iteration. Hints: The r...

A: Given the equation is  x3-2x-5=0. We have to find a positive root of this equation by the method of ...

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Q: Write the solution statement for all of the solutions to the equation –5sec(θ) = 10. Show your work...

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