QUESTION 6 Use trial-and-error to determine the smallest integer n for which the given statement is true. 6n < 2n 6 5 7

Q: Answer the following about the function F(x)=x^4-24x^2+700. Justify all your answers. A. Find all…

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Q: Evaluate the limit below. - 2x2 + 13x – 21 lim x→3 х — 3 -

A: limx→3-2x2+13x-21x-3apply L hospital rulelimx→3-2(2)x+131limx→3-4x+13

Q: Fin d: ) (3x*arctan x do Evaluate: s.) dx

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A: Topic = Functions

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A: Ode

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Q: Convert the given point to the indicated coordinate system. Spherical (?, theta, phi) = (3,…

A: Use the formula for the conversion of the coordinate system.

Q: Find the area of the parallelogram that has u = 2i – j + 2k and v = 2j + 3k as adjacent sides. NOTE:…

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Q: I. Let J = x²y dA where D is D the region bounded by the x-axis, y = x' and x = a) Sketch the region…

A: Use shaded region to evaluate the answer

Q: Solve the differential equation with appropriate method. Finalize answer equated to y. dy/dx = (-5x…

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Q: -C

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Q: Find the absolute maximum and absolute minimum values of the function F(x)=x^3+6x^2−63x+3 a.…

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Q: Find the linear approximation of f(x)=lnx at x=1and use it to estimate ln⁡(1.3) L(x)=? ln 1.3≈?

A: First find the linear equation at x=1  then find the approximate values

Q: 6. Find the area under the curve f(x) = 4x + 2 over the int erval [1,5]

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Q: one-sided limit (if it exists). 72. lim

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Q: Yes,  you did not say what a is and what b is. Their values

A: Apologies for the inconvenience.   To find a and b we set the equations equal to each other and…

Q: 2. Apply Maclaurin's series to obtain the first 5 terms in the series for e ,

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Q: Find f 6x dx? А. х2 + с В. 2х2 + с c. +c D. Зx2 + C

A: This is a problem of indefinite integral. Based on the general formula we will answer the question.

Q: 4. Find y' * 2 (x – y)² = sin x + sin y

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Q: In a race to better understand the behavior of Dresident Puterte, researchers have proposed two…

A: The given models have the equations: ln x2-14ln 2y2=δ, where δ is a constant and x, y are dependent…

Q: Find the tangent and cotangent of 195". Note that 195 = 150 + 45. Use sum or difference formulas…

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Q: Find * sin (In æ) cos²(ln x) dx. cos (In x) , cos³ (In x) 3 cos (In x), cos³ (In x) 5 3 5 Option 3…

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Q: 21) Find tre fourth degree Taylor poly nomial Centned at C=4 for the function. m 7 (x)=In(x) Angues…

A: Pn(x) = f(c) +f'(c)x/1! +f"(c)x2/2! +.....+fn(c)xn/n! here we have to make upto 4 degree f'(x) = 1/x…

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Q: Given the graph of y=f(x) below, at which of the marked x-values can the following statements be…

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Q: esin 2x [In (cos 2x)]?

A: Given: fx=esin2xlncos2x2   As we know that; The Quotient rule: fg'=f'·g-g'·fg2 The Chain rule:…

Q: Evaluate the following integral using trigonometric substitution. dx b. S V(5+2x+ x²)5

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Q: If f (x,y) = In(x² + y²), then fx(x,y) + fyy(x, y) is: а. 0 x+y b. x2+y2 2х+2у с. x²+y2 d. Undefined

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Q: Find * dx | 473 + 4x² +x 1 In|x| + In|2x + 1|+; 2x + 1 -In/x| + In|2x + 1| – 2x Option 2 Option 4

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Q: At what intrest rate would a deposit of $30,000 grow to $70,895 in 20 years with continious…

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Q: If the function /6- 830 is continuous at x=0, then a- 1+2acosx D a 1 6 -1

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Q: 6. gx) VX- 3 at x = 4 三 7 g(x) at X = 8 三 e1 gCX)= n4ーメ at x =0

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Q: M3.2 Trigonometric Groups 3. S sin³x cos xdx 4. S Vtan x sec*x dx

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Q: 10 cm 10 cm 10cm

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Q: Solve the differential equation with the appropriate method. Finalize the answer equated to y. 5.…

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Q: please asnwr

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Q: 3. Use a sign chart for f" to determine the intervals on which each function f is concave up or…

A: As per our guidelines we are supposed to answer only first three subparts of a question. Kindly…

Q: So  for the last part of the Question is it A. The Root Tests says that the series converges…

A: Apologies for the inconvenience. Here is the complete solution:   Given series is = ∑n=1∞an where…

Q: Find the gradient of the function at the given point. Function Point f(x, у, 2) 3 x2 + y2 + z2 (7,…

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