ying Polynomials Simplify the product using the distril (x-2)(x+6)

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A: The given function is To find :- The directional derivative of f at a point  in the direction

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Q: Hello please help solve this calculus problem attached down below.

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Q: find the limit if it exists, or show that it does not exist.  lim (x,y)→(0,0) (x^4 −y^4)/x^2+y^2

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Q: Question 2 Suppose an > 0 for n≥1 and lim Wan < 1 n→∞0 What can you conclude regarding 1 an? The…

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Q: Tutorial Exercise Express the limit as a definite integral on the given interval. lim Σvil (2 + x)…

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Q: * Find dy dx = the general Solution of :- - X+3x2 √x² + 2x³² 2

A: We use the variable separable method to solve the given differential equation.

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

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Q: Find the general Solution For D-E Sin2x dx - 3¹² cos ²x dy = 3y³ 2 =O

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Q: The concentration C(t) (in mg/cm³) of a drug in a patient's bloodstream after t hours is C(1) = Find…

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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: What is the limit of (Cos(x)-1)/x^2 as x approaches 0?

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

A: dy/dx = x2

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Q: Oil leaked from a tank at a rate of r(t) liters per hour. The rate decreased as time passed, and…

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Q: The polynomial p(x) = 8x³ - 18x² + 7x +3 has exactly 3 zeros. If p(1)= = 0, use synthetic division…

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Q: Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints…

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

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Q: 15 Find sin 2x, cos 2x, and tan 2x if tanx = 8 sin 2x = cos2x - 0 tan 2x 0 - 8 X and x terminates in…

A: tan x = 15/8x in first quadrant Find sim 2x , cos 2x , tan 2x

Q: Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints…

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Q: Suppose an> 0 for n≥1 and lim wan = 1 n-x What can you conclude regarding Σα1 an? n=1 The series…

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Q: Use the ratio test to determine whether an+1 lim n→∞ an (a) Find the ratio of successive terms.…

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Q: Having completed your first few tasks, you move now to a portion of the lab where important bacteria…

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

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Q: Find the radius of convergence, R, of the series. √n R = 00 I = n = 1 6″ _(x + 4)" Find the…

A: The given series is sqrt(n)(x+4)n

Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. a = 14 b = 28…

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Q: Finding the area between curves. Below, we see a region bounded by two curves. (graph not…

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Q: Question 4.11) Compute the following limits at infinity. A) lim D) lim Chapter 4: LIMITS (SECOND…

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Q: f(x) = 2x + 4 sin(x), 0≤ x ≤ 2π

A: The given function is

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

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Q: With a programmable calculator (or a computer), it is possible to evaluate the expressions for the…

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Q: Verify that the two planes are parallel. -x + 6y + 3z = 6 1 x + 2y + z = 7 3 Find the normal vector,…

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Q: (a) Find the number a such that the line x = a bisects the area under the curve below. 1≤ x ≤4 a =…

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Q: x^2) on [0, 1]. A) Find k such that f(x) is a probability density function. B) Find the expected…

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Q: Find the general Solution of: 2² dy dx = x² x e

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Q: Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints…

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