Find the indicated trapezoid approximations to the following integral. 18 [9x² 9x dx using n = 2, 4, and 8 subintervals 2

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Q: The vectors (8,-12, 16) and (8, 12, 5) are orthogonal. Select one: True O False

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Q: Find 6 ff 3 xy dydx. Write your answer in exact for

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Q: Let f(x) = 5 − 3x²2 and g(x) = x + 5. Compute the following. (a) (fog)(x) (b) (c) (e) (fog)(-1)…

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Q: Use the gradient to find the directional derivative of the function at P in the direction of PQ.…

A: For a Function f( x , y ), The directional Deivative in the direction of  is given as

Q: r(t) = 2t²1 - 4tj + 2t³k (a) r(t) (b) r"(t) (c) r(t)r"(t) (d) r(t) x r"(t)

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Q: Suppose T: R² R³ is a linear transformation. Let u, v and w be the vectors given below, and suppose…

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Q: Find aw/as and aw/ât using the appropriate Chain Rule. Values Function w = y³ - 2x²y x = es, y =et S…

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Q: 1. Use Calculus to find the absolute extrema of f(x)=3x4-4x³ -36x² +28 on the interval [-3,4].

A: By using Calculus to find the absolute extrema of  on the interval .Note: Since the student has…

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Q: Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. (If…

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Q: For which value of t does the line given by the parametric equations x = t -1, y = 1+ 2t, z = 3 - t…

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Q: Let f(x) = -x+7 and g(x) = x^2 -2 evaluate the expression f(g(1))

A: We have to find f(g(1)) for the given function. It is a example of composite function. We replace x…

Q: SYSTEM: x + y + z = 6 2x - y + z = 3 3x z = 0 -

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Q: Consider the following parametric curve. Find dy dx dy dx dy dx = Find the value of X = sin (6t) +…

A: Equation of the line : (y-y1) .

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A: A point x=c is  a critical point of the function f(x) if f(c) exists and if  f'(c) =0 or f'(c)…

Q: A rectangle is inscribed in a semicircle of radius r = 16 as shown in the diagram below. x The area…

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Q: 1 V₁ V2 = 2(+/-+- (1 (v₁/v₂) = 2 sin = -2V²-V²_2₁ Z₁ cos 1 =2²₁√√√√²₁ X Z₁ + V/₂ √/1-(V₁/V₂)² V₂ V2…

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Q: Find the slope of the tangent line to the curve at the point (4π, 7π/2). 4 sin(x) + 4 cos (y) - 6…

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Q: Verify the following identities: 1. tan y csc y 2. 3. tan x sec x = sec y cos y sin x cot x sec x…

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Q: If z² = x² + y² with z > 0, dx/dt = 2, and dy/dt = 6, find dz/dt when x = 6 and y = 8. dz dt Answer:…

A: The Power Rule:The Chain Rule:

Q: -3 3 -3 I У X

A: From the given graph The horizontal asymptote is The vertical asymptotes are and

Q: lim √xe-x/2 x → 00

A: L=limx→∞xe−x/2

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Q: Let s(t) = 6t³ + 9t². v(t) = t - Where does the velocity equal zero? [Hint: factor out the GCF.] and…

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Q: ketch the region of integration, reverse the order of integration, and evaluate the integral. 10 10…

A: First sketch the curve by use of the limit of integration.

Q: Q/ solve equations 1- y' = ky 2-x(1+y²) dx =y(1+x²) d;

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Q: Evaluate the following integral using integration by parts. Se 10x cos x dx

A: I=∫e10xcos⁡xdx

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A: If a 4th-order linear differential equation is such that the corresponding characteristic equation…

Q: Find all values of x and y such that f (x, y) = 0 and fy(x, y) = 0 simultaneously. f(x, y) = x² +…

A: The given function .The aim is to find all values of  and  such that .

Q: 1. Consider the ellipse given by x(t) = 9 cost and y(t) = 81 sint for 0 ≤ t ≤ 2π (a) Make a sketch…

A: The given equation of  eillipse is for

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Q: Determine the function f satisfying the given conditions. f ' (x) = ex/3 f (0) = 10 f (x) = A eBx…

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Q: Use a linear approximation (or differentials) to estimate the given number sqrt(99.2)

A: SolutionLet f(x)=√x and use the linearization at a=100

Q: Let Compute dw (-5,-2)= -(-5,-2)= ow Ət w = xy + yz - 5xz, x = st, y = est, z = ²

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Q: dx² work. Graph this equation using technology. (Include a print-out of your graph with this…

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Q: What is the minimum degree of the polynomial function whose graph approximates each given graph?…

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Q: Let h(v) = 4v v² +6

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Q: If f(x) = 7√x(x³ - 5√x+6), find f'(x). 7_x³ +21x²-70² + 2/1 3 2√x Find f'(5). X

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A: Please solve the given problem using the concept of derivatives.

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Q: Solve | | - 3x +8 24

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