Estimate the average value of f(x) from x = a to x = b. 28 21 f(x)

Q: Find the general Solution For D-E dy dx +y secx = COSX

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Q: Find the general Solution For D. E x² dy + x(x+2) Y = ex dx

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Q: f(x) = x2 + 2ax+ 2 si 4 si ba +1 si x≤-1 -1 <z <3 z≥ 3

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Q: If xy + y² = 1 find the value of dy / dx² at the point (0-1)

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Q: EASE could you shed a litttle bit more light on how you got the critical numbers

A: So, f'(x)=0 gives us

Q: 10) tan x = 3.7 A) 1.31, 4.45 1.31, B) 1.31, 2.88 C) 1.31, 4.97 D) 1

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Q: 27. f(x) = 1 x² + 1 2 on [-1, 1)

A: Average value of f on [a,b]fave =1b−a∫abf(x)dx

Q: tx" + (t − 2)x' + x = 0

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Q: Each of the regions A, B, and C bounded by the graph off and the x-axis has area 3. Find the value…

A: Each of the regions A, B, and C bounded by the graph of and the x-axis has area 3.To find the value…

Q: es. [Assume that f has a power series expansion. Do not show that R₁(x) → 0.]

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Q: IN Now look carefully at the function. What is the actual value of y when x-1?

A: We need use inspection method for the given graph to find the value of y at

Q: Use Q23 implicit different to find dy ldx X²y + xy ² = 6 +2

A: You have posted multiple question in this question which are not interlinked so i have solved first…

Q: Find the radius of convergence and the interval of convergence of the series: Σ=1(−1)n+1 +1 (x-2)…

A: The given power series .The aim is to find the radius of convergence and the interval of convergence…

Q: Write an integral in the form A region. Answers must be exact. As a suggestion, graph the equations…

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Q: Write the following limit as a definite integral: limn→∞ ½ / Σ²-1 ( ²1 )º n j=1 of th x6 dx f²x5 dx…

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Q: Let z = 9.8 - 5i. Write z in the form a + b*i: Z = 9.8+5*i Let u = 5 - 2i and v= - 8 + 6i. Write u +…

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Q: Solve the following integration :- 5 (x-3) (x+5) (x-2) dx

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Q: Evaluate the integral fx² cos(4- x³) dx sin(4 — x³)+C O -sin

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Q: dx Assume that x = x(t) and y = y(t). Let y = x + 2 and dt dy Find when x = 3. dt dy dt (Simplify…

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Q: n = 1 (-1)"x" n

A: Given that the series we have to find the radius of convergence and interval of convergence

Q: Solve the following triangles: (a) a = = 10, b = 8, c = 7 (b) A = 90°, B = 20°, a = 7;

A: To solve the triangle, we use the Law of Cosines to find one angle of the triangle and the Law of…

Q: 1 Assume that f'(4) = -5, g'(2), g(2)=4, and y=f(g(x)). What is y' at x = 2? 8 Atx=2, y'= (Simplify…

A: The chain rule of differentiation is given by

Q: Find the general Solution of . T NOTINTOS dy dx = 2 x e x²²

A: dy/dx = x2

Q: Find the area of the region that lies above the x-axis, below the curve x = =t² + 5t+3, y = e with 0…

A: Given that the region that lies above the x axis, below the curve  with

Q: * Find the general solution of: dy dx XsinX = -

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Q: 1. Consider the following vectors and answer the following questions. (6,0,4), = (2,1, -3) (a) (3…

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Q: Consider a system of 3 equations with 3 unknowns. If the augmented matrix has been correctly reduced…

A: Here we have to general results for finding the solution

Q: 3+x 4. (a) Find a power series representation for the function f(x) = is the radius of convergence?…

A: The given function is

Q: a. Find the linear approximating polynomial for the following function centered at the given point…

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Q: Find u x v, v x u, and v x v. u = 2i + 6k v = 5i + 9j - 2k. (a) -54i + 22j + 18k u x V (b) V x u 54i…

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Q: Evaluate the integral by interpreting it in terms of areas. 1₁ ( 2 + √ 49-x²) dx

A: simplify the integral

Q: 5 Find f such that f'(x) = - √x f(16) = 49.

A: f′(x)=5x,f(16)=49

Q: 7. Find lim to talk A. 1 C. -1 B. 0 D. does not exist

A: We have to evaluate the limit.

Q: Find the radius of convergence, R, of the series. R = xбn n=2 n(In(n)) Find the interval, I, of…

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Q: Find the slope of the tangent to the curve - 4 sin³2x at x = E|O

A: The given curve is .The aim is to find the slope of the tangent line.Derivative formulas used:

Q: Express the limit as a definite integral. [Hint: Consider f(x) = 8x5.] 72 lim 72+00 1 L' 0 Srdr ²8.…

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Q: a) The rectangles in the graph below illustrate a The value of this Riemann sum is left endpoint…

A: given function

Q: Using double integrals, find the area of the region bounded by the curves x = y² = 1 and y = 2x…

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Q: b) The rectangles in the graph below illustrate a right endpoint Riemann sum for f(x) = 4 sin x on…

A: We have to find the value of the given reimann sum.

Q: The amount of carbon-14 present in animal bones t years after the animal's death is given by P(t) =…

A: The amount of carbon-14 present in animal bones t years after the animal's death is given…

Q: Tutorial Exercise Evaluate the integral by interpreting it in terms of areas. f (x-14) de Part 1 of…

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Q: A cardboard box with an open top must have a volume of 14 ft. If the length of the base is four…

A: The volume of the cardboard box letlength widthheightthe volume of the cardboard box

Q: Find f. f(x) = f'(x) = −2+ 24x 12x², -x² + 4x³-x² + 14x+8 x - f(0) = 8, f'(0) = 12

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Q: Determine whether I 5Mm Converges or diverges. If 6 7m m=2 Converges, find its sum

A: Geometric Series∑n=1∞a⋅rn−1 Converges if and only if −1&lt;r&lt;1∑n=1∞a⋅rn−1=a1−r

Q: Does the sequence San} converge or diverge ? Find the limit if the sequence is convergent. (n+4…

A: The given sequence  nth term is

Q: The graph of the derivative of f is shown below: -y-5 4 -3 -2- -1- 0 1 2 f'(x) 3 4 f', the…

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Q: 3. Use the definition of Taylor series to find the Taylor series centered at a = 1 for f(x) = ln x

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Q: elow, we see a region bounded by two curves. (graph not necessarily to scale)

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Q: Find the intervals of increasing and decreasing  for y= (sinx)/(2+cosx)

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Q: 4. The financial department of a hospital arrived at the cost function: C(x)=20x³-360x² +2300x-1000,…

A: Given cost function is