f(x)=x²-9x + 14.

Q: Estimate the area under the graph of f(x) = 3 sin x ㅠ between x = 0 and x = using five approx- 2…

A: To estimate the area under the graph of fx=3 sin x between x=0 and  x=π2 by using five…

Q: 1 x+R+ 2)²(x+ x+ R+ 4) dx (Hint: Let u= x+R+2 x+R+4

A: ∫1x+R+22x+R+42dx

Q: Find the interval of convergence of the series of the interval. n=0 (x+2)n (n + 1)2n Show the test…

A: We have to find the interval of convergence of the series ∑n=0∞x+2nn+12n. Also, show the test for…

Q: Exact Differentail Equation M (x,y) dx + N (x,y) dy = 0 is an Exact DE when ∂M/∂y = ∂N/∂x Solution…

A: (y exy - 2y3 ) dx + ( x exy - 6xy2 - 2y) dy = 0

Q: INTEGRAL CALCULUS Problem Solving. Show your solution on a separate sheet/s and write your final…

A: Since have posted multiple questions i can do first question as per our company guidelines please…

Q: The function f(x) = C = - 8x² 48x9 has one critical point at x = c. Find it. - Use the second…

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Q: Given: (y - 3)² = -12(x-4); what is the equation of the directrix? A. x = 1 O A OB O C O D B. x = 7…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is compare this…

Q: Use Newton's method with the specified initial approximation x₁ to find x3, the third approximation…

A: x5−x−9=0,  x1=1 According to the Newton method of approximation the root of a function can be…

Q: Show that the equation has at most one solution 8x+cosx=0

A: 8x+cosx=0

Q: Which of the following complex numbers is a pure imaginary number? O 6-2i 07 O √5

A: a) 6-2i=Real+imaginary   b)7=real

Q: Find f. f ''(x) = 20x3 + 12x2 + 10,    f(0) = 4,    f(1) = 2

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Q: 8. State the intervals over which f(x) = x¹ + x³-2x² +4 is concave up or concave down and find any…

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Q: Find h(x) if h'(x): h(x) = = 9x (3-x²)² and h(1) = -3.

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Q: Eliminate the parameter to find the cartesian equation of the curve: cos² 0, The equation of the…

A: x = 8sinθy = cos2θ-π2 ≤ θ ≤ π2Formula used sin2θ + cos2θ = 1

Q: If g(x) = 3x - 7 and h(x) = (fog)(x) = 9x² - 42x + 49, then f(x) Using g(x) and f(x), determine…

A: Given: g(x)=3x-7h(x)=(fog)(x)=9x2-42x+49 We are required to find: (gof)(x)

Q: x n=1 In n n

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Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = 2 cos2(x) − 4 sin(x),…

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Q: 6. Practice similar Help me with this Use Euler's method with step size 0.25 to compute the…

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Q: 5x+1 dx 2x²-x-1

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Q: A golf ball is hit horizontally at 55m/s from the top of a hill that is 3m high. If the terrain…

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Q: 1 For what value of x does the function f(x) = x³ - 4x attain the absolute maximum in the interval…

A: Using the first and second derivative test we are going to find the absolute maxima.

Q: 9x+7y=288 find the positive integral solution

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Q: Use logarithms to solve the exponential equation. 2^(1-3x)=4^(x+6)

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Q: Assume the circle is traced clockwise as the parameter increases. If x = 6 + 3 cost then y =

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Q: Put the equation x^(2)-4x+2y+10=0 into the standard form

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Q: dx x (x²-a²) S: dx

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Q: Write the first six terms of the binomial expansion of sqrt(1-x)

A: The general form of the binomial is: (x+y)n where x and y are variables, n is a positive integer.…

Q: Evaluate the iterated integral. 1² 0 JO .8 cos(sº) dt ds

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Q: 4: A radioactive substance decomposes at a rate proportional to the amount present. If one-half of…

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Q: Find the critical numbers of the function f(x) = -12x5 75x4 + 40x³ - 2 and classify them. x = || ||…

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Q: a). If the SERIES an is convergent, then an is also convergent. [Select] n=1 b). If the SERIES 80…

A: As per the guidelines we are supposed to solve only the first 3 subparts, so please upload the other…

Q: Use the divergence theorem to find the outward flux of F across the boundary of the region D.…

A: As per as our guidelines i can answer only one question please repost remaining questions.

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 2x³6x² -…

A: f(x)=2x3-6x2-18x+8we know (i)  d dx(xn)=nxn-1(ii)  d dx(constant)=0

Q: What is the SUM of the first 10 terms for the following geometric series: 2- 6+18- 54+... A. 59048…

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Q: The number of bacteria in a culture is increasing according to the law of exponential growth. There…

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Q: A 90 ft 120 ft 134.2 ft

A: In a public park, a triangular region of grass is bounded by walkways. Sprinkler heads are placed…

Q: Let F= (y,x) and C be the circle of radius 9 centered at the origin oriented counterclockwise.…

A: Given function is:F=y, xC be the circle of radius 9 which is centered at origin.

Q: With regard to composition of relations, If S and R are both anti-reflexive, then  s∘r is…

A: S&R both are anti- reflexive. Therefore There is no common elements in theses two sets.

Q: x² 2 √25-4x² dx

A: The given integral is:I=∫x225-4x2dx

Q: 3. Find the image of the domain outside the unit circle |=1 on the upper half plane, under the…

A: We need to find image of the domain.

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Q: esin x dx

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Q: A person wants to enclose a rectangular field with three internal partitions as shown. If there is…

A: To solve the following problem

Q: Find the integration factor of (3 xy +64²) dx + (2x²gxy) dy zo

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Q: �=-1cos-π6=-cos2π how did you get the cos2π

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Q: particle is moving with the given data. Find the position of the particle, s(t). a(t) = 2t + 9, s(0)…

A: We have acceleration function. To find the position function, we need to integrate the acceleration…

Q: Which of the following complex numbers is a pure imaginary number? O √2 √3 O 5+2i O 5

A: -2 = 2i This is a pure imaginary number. Because there is no real term. 3 is a irrational number.

Q: Given the following vector field and oriented curve C, evaluate SF.T ds. F = (y,x) on the line…

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Q: For what value of x does the function g(x) A. x2 -1 C. x ≥-2 3x³ - 2x² concave downward? B. x ≥ 0 D.…

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Q: Show that xy4 lim (x,y) →(0,0) x² + y8 does not exist.

A: Given :                     lim(x,y)→(0,0) xy4x2+y8 We know that if the limit exists, all paths…