Find the area of the triangle below. Carry your intermediate computations to at least four decimal places. Round your answer to the nearest tenth. 17 yd Dyd² X 14 yd 20 yd

Q: Let F(x) = f(g(x)), g(2) = -2, g'(2) = 4, f'(2) = 5, and f'(-2) = 7. Find the value of F'(2). Let…

A: 1st we have to differentiate the given function and  then put the given value.

Q: Suppose that the daily sales (in dollars) t days after the end of an advertising campaign are given…

A: This question is based on function increasing and decreasing.

Q: Solve the differential equation below using series methods. y’’ — 4xy' — y = 0, y(0) = 4, y'(0) = 2…

A: Here, the given DE is: y''-4xy'-y=0    ...(1) with y(0)=4,y'(0)=2

Q: Evaluate the iterated integral. [(x + y) dy dx

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Q: 4 2 + Find the area of the portion of the Sphere x² + y² +2²= 9 between the planes Z=1 and 2 = 0.…

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Q: 5. A manufacturer offers to deliver to a dealer 300 tables at $90.00 per table and to reduce the…

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Q: Evaluate the definite integral. √ (e19¹ ₁ + (e¹% i + e¯¹j+1 k)dt O e¹⁹ - 1 19 O el9 i-e²¹ j + ½ k 19…

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Q: Find the surface area generated by revolving one arc (first quadrant) of y = cos x about the x-axis.…

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Q: For the following: a) Determine the intersection points. b) Draw a sketch of the graph. c) Find the…

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Q: 2. Let f be the function from {a, b, c, d, e} to {1,2,3,4} with f(a) = 3, f(b) = 1, f(c) = 2, f(d) =…

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Q: What is the equation of the conjugate of the hyperbola 25x² - 16y² = 400? (A) 16y²-25x² = 400 (B)…

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Q: Decide whether the integral is improper. 00 [ In(x8) dx O proper O improper Explain your reasoning.…

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Q: Show that the Differential Equation is EXACT and then solve it. 2. (cos2y - 3x2y2)dx + (cos2y-…

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Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. a. So f(x) dx…

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Q: Evaluate the following limit using L'Hospital's rule. Provide your answer below: دی lim (4x) X18

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Q: Consider the following. Let u = 4x³ - 1. Find du. du = dx Indicate how the limits of integration…

A: The given definite integral,          ∫01x24x3-14dx

Q: 29. aj = x, a₂ = x+3 30

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Q: Evaluate fi fi fi (xy+z)dxdydz Note: input your answer in two decimal places (example: 1.05, 2.53,…

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Q: The function f(x) = 3 - 4x - 2x2 is shown on this graph. f(x) 6 + 2 그 What value of at corresponds…

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Q: Evaluate the iterated integral. 18 5 (x + y²) dx dy

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Q: 32 Question * (3 Points) The proper transformation for sin²x to make the f sin²x dx readily…

A: substitution

Q: The radius of the base of a right circular cone is decreasing at the rate of 4 cm/min, and the…

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Q: Find the amount of money that accumulates when a one-time lump-sum investment of P = $50, 000 is…

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Q: Solve the integral below using integration by part. [(2x - 3) 3) e* dx

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Q: xz •Evaluate So So So ²³x² sinydydzdx X

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Q: Evaluate the iterated integral. LP'&x+yaxay (x + y²) dx dy

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Q: How many terms of the series do we need to add in order to find the sum to the indicated accuracy? ∞…

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Q: Evaluate the integral order of integration. NOTE: Enter the exact answer. I fe e² dx dy= = e² dx dy…

A: Given:         ∫06∫y23ex2dxdy  Reversing the order of integration.       y2≤x≤3    y≤2x≤6…

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Q: A farmer wants to construct a fence around an area of 6936 square feet in a rectangular field and…

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Q: Use the midpoint rule with n = 6 to estimate the value of the integral (x³ + x) dx.

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Q: A loaf of bread can be modeled by a rectangular prism topped with half a right. cylinder. Katherine…

A: A loaf of bread can be modeled by a rectangular prism topped with half a right cylinder. Katherine…

Q: 4 1. y = cost-sin ¹ t 2. y = (2 tan² 20-1)/²

A: Given : 1) y= cos4t-sin4t2) y=2tan22θ-112   To Find : Derivative of the given functions.

Q: Find the devivative lic F(t)=(ナースト+1)(2+2

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Q: 4 3. y = sin ¹2x cos4 3x

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the curvature of the curve r(t) = (3 cos (4t), 3 sin(4t), 4t) at the point t = 0 Give your…

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Q: Find a3 w дх ду дz if w — exyz = 0.

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Q: Prove sinxtanx + sinx tanx 1 cosx is an identity.

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Q: 11. y = 2 sin(0) + 2 Amplitude: Period: Phase Shift: Midline: 2n 3x H 4 ST

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Q: approximate with accuracy 10^3 to the solution of x³+x-4 = 0, lying in the interval [1,4].

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Q: Find the indefinite integral. Solution in handwritten. 1. f(x²-9)(2x) dx (-8x)√3-4x²dx 2.

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Q: H.w.2 Evaluate the following cartesian integrals by changing them into equivalent Polar integrals: 4…

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Q: 3-2ey 3y-zey dy is Зу-2еу {A} - In|3y - e²y|+C The f

A: we have to find the integration.

Q: 6. 22x+x dx 5. f 22x

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Q: You are given the following graph of the function f(x): 4 1.0 -5 #1 -10 Find the point where the…

A: Given question:- Find the point where the second derivative changes sign from negative to positive.

Q: At the end of each month, for 24 months, $200 is put into an account paying 9% annual interest…

A: Solution of given question is written in below steps.

Q: 8) Find the unit tangent and unit normal vectors T(t) and N(t) for r(t) = (t, t², t²).

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Q: 25 2 la

A: We have to find the following conditions according to the given information

Q: Use the formula k(t) = = k(t) = ||r' (t) x r"(t)|| (t)||³ ||r' r(t) = t²i+t⁹j = to find k(t).

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Q: Sketch the region R and evaluate the iterated integral f(x, y) da. [²²-² (1 - 2x + 8y) dy dx y y 2…

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