Determine an expression, in simplified form, for the slope of the secant PQ with P(1, 2) and Q(1 + h, f1+ h)) where fx) - 2x. %3D

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Q: Find a formula for the nth term of the sequence (choose one of 2) The sequence 2,6,10,14,18, ..

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A: Given f(x)=58-xwe know that the power series11-r=∑n=0∞ rn

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A: Answer as follows

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Q: The discontinuities of the function f(x) =D 4x-9 are: x²-2x-15 Select one: O 5,3 -5, -3 -5,3 O 5,-3

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Q: Q3) A) If you have three functions: f(x) = x2 – x g(x) = 3x – 1 %3D w(x) = x2 – 2 So, find gof (x)…

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Q: 6 sin z Let f(r) = 6 sin z + 2 coS T Then f'(x) = The equation of the tangent line to y = f(z) at a…

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A: (a) Here f(x)=y=tanxdy=f'(x)dxdy=sec2xdx    =sec2(π3)(-0.1)    =-0.4

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A: Required formula:  Logistic growth model: Nt=K1+K-N0N0e-rt Where,  r = Exponential growth rate…

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Q: Q2) Find the integral value for the following functions 3x 1. S 2. S(sec(4x) – 1)² dx 3. S dx V1+3x2…

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Q: The discontinuities of the function f(x) = %3D 4х-9 are: х2—2х-15 Select one: O 5,3 O -5, -3 -5,3 O…

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Q: Solve the Laplace Transform of the given function 6e5t cos(2t) – e7t

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Q: Evaluate the Laplace transform of ecos3tdt. O a. s2+2 s2(s² + 4) Ob. s+ 16 Oc. 2 s(s²+ 16) O d. s?+4…

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Q: e sin (e^) cos" (e*) c 6. COS

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Q: 3. Find the absolute maximum value of the function f(x)=- 1+x2

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Q: Determine the conjugate radical of the expression -8+35. O-8 -35 O NE + 35

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Q: Verify Green's Theorem by evaluating both integrals dA v? dx + x2 dy ax for the given path. C:…

A: We have to verify the green's theorem

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Q: Find the interest and amount due on a loan of Php 54,000 at 15.6% per year for 100 days.

A: Find the interest and amount due on a loan of Php 54,000 at 15.6% per year for 100 days.

Q: Determine the value of 3A+5B if 10x2 + 25x +5 A Cx +B (x – 1)(x + 1)² (x+1)² 1 - |

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A: To find the equation of given graph.

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A: Use the properties of definite integral and solve the question.

Q: 15. Indefinite Integrals (Part 1) а) -+ cscxcot x dx 2 cosx--sinx+4csc². 3 b) 1 + sec² x dx 1+x2 c)

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Q: Let C1 be the curve with parametric equations x = cos t, y = sin t – t, where t E [0, 5]. (a) Find…

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Q: x cosy dx + cos?x

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A: As per given question  We have to solve above question

Q: ||r(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find k(t). r(t) = 4 cos(7t)i+4 sin(7t)j+ 3tk K(t)…

A: By using the formula kt=r't×r''tr't3 to find kt.rt=4 cos7t i+4 sin7t j+3t k

Q: 439) Use the matrix capabilities of a graphing utility to solvecif possible) the systems of linedr…

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Q: Find the exact arc length of the curve over the stated interval. y = 3r/2 – 4, from z = 0 to r = 1…

A: The curve y=3x32-4, from x=0 to x=1

Q: DEFINITION 7.1.1 Laplace Transform Let f be a function defined for tN 0. Then the integral L{f{t)}…

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Q: Find the area of the region enclosed by the curves y=x^2 and y=6x by integrating with respect to y.…

A: To find the area of the region enclosed between the two curves.