Find a formula for the general term an of the sequence assuming the pattern of the first few terms continues. 6 " an 6 6 6 " 9 27 81 " 6 243 Assume the first term is a₁ ..}

Q: Consider f(x) = |x − 3| on [0, 5]. Find all c so that f(c) = fave where fave is the average value of…

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Q: b ZA= ZB= ZC= с a B Let a = 1, b = 8 and c = 8. Find the measure of angles ZA, ZB and ZC. Give your…

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Q: Determine a vector equation for hte line through the point: (-2, 0, -8) perpendicular ot the plane:…

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Q: The marginal cost function associated with producing x widgets is given by C'(x) = -0.6x + 100 where…

A: Given query is to find the cost of producing first 100 unit.

Q: 2x - 7 lim X→2+ x - 2

A: To find the given one sided limit

Q: y = x - 3x 3x√√x √x-1

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Q: Find the particular solution for the initial value problem. dy + 4x³ = 6x² and y=2 when x = 0 dx y=0

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Q: Find the point on the graph of f(x)=√x that is closest to the point (9, 0). -([ (x, y) =

A: The objective of the question is determine the closest point to the given point and graph.

Q: Check the convergence or divergence of the following series and find the sum if the series converges

A: We have to find if the given series converges.

Q: 5. Let A, C 0 and A# C. Solve for x A(x + B) = -C(x - D) +2

A: The given equation, Ax+B=-Cx-D+2, A,C≠0 and A≠C. We have to solve this expression for x.

Q: Write the Taylor series for f(x) = x³ about x = 4 as Σ²₂(x − 4)". n=0 Find the first five…

A: The given function fx=x3. We have to find the first five coefficients of Taylor series for fx…

Q: find the average vaim of the function fcx) = x² = 5x + 6 cosx on th Interval [-1, [-1,3].

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Q: Calculate the flux v out of the ball x² + y² + z² = 1 given that v(x, y, z) = 3zi+2yj+2 zk. a) 28T…

A: Please see the below picture for detailed solution.

Q: What would projvu be?

A: We have to find the projvu.     According to our guidelines we can solve only one question so please…

Q: Use the sign chart for f" to determine intervals on which function f(x)= √√x is x-2 concave down or…

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Q: 4).    Find the Taylor polynomial of degree two approximating the given function centered at the…

A: NOTE: Refresh your page if you can't see any equations. . here we have x=1

Q: a. Find the open interval(s) on which the function is increasing and decreasing. b. Identify the…

A: We have to find the critical points and absolute extrema.

Q: If the common ratio is 0.6, what is the percent change?

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Q: y = x² — 24; y = 0; −3 ≤ x ≤ 0

A: To find area of the given bounded region.

Q: Which of the following cannot be the number of real zeros of a polynomial of degree 5 with real…

A: We are required to find   Which of the following cannot be the number of real zeros of a…

Q: Verify that the hypotheses of the Mean-Value Theorem are satisfied on the given interval and find…

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Q: open interval(s) on which the function is increasing and decreasing. b. Identify the function's…

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Q: Determine the measures of angles between diagonals of the rectangle whose vertices are:

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Q: For the sequence defined by: a1 = 4 = an+1 = Find: a2 az || = || a4= 3 an +1

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Q: Using the binomial theorem to find the 4th term of √x + 2

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Q: Identify the equation of each of the following graphs. W 7/2 37/2 7.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Determine the area of the triangle with the following vertices: (-3, 7, -1), (-10, -2, -1) and (5,…

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Q: Given the function: a. Find f'(x) and f"(x) b. Determine the following properties of the graph of f.…

A: Please see the below picture for detailed solution.

Q: Complete the parametric equations for the given rectangular equation. (a) Rectangular equation: (b)…

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

Q: √9-1² - Compute the following double integral LS sin(x²+y2) dy dx by converting to polar…

A: The given integral: ∫-33∫09-x2sinx2+y2 dydx

Q: K Differentiate. g(x) = log 41 (2x - 5) g'(x) = Question 2 of 5

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Q: Sketch a graph of x = -5 -4 -3 -2 -1 5 4 3 2 1 -1 -2 -3 -4 -5 - 2t2, y = t - 1. 1 2 3 est 4 5

A: Here is the solution.

Q: Assuming a constant interest rate of 8% per year, determine how much would you have to invest today…

A: Given query is to find the invested amount.

Q: 3x √e³x dx = 0 (Type an integer or decimal rounded to the nearest thousandth as needed.)

A: ∫eaxdx=eaxa+c

Q: Find the critical point and the interval on which the given function is increasing or decreasing,…

A: dxndx=nxn-1f(x)=5x2+4for critical points put f'(x)=0

Q: Use the given information to find the exact value of each of the following. a. sin 20 b. cos 20 c.…

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Q: Integrate csc^5x dx using integration by parts

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Q: 4. y = -2 sin(x) 5. y = = sin(2x) 1 2 6. y = cos(4x) cos(4x)

A: Here we have to find period, amplitude and frequency.

Q: [Gradients and Directional Derivatives][S] Let h(w, f) = √(1 + wf) be a function for the height (in…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Here is the solution:

Q: Estimate the area under the graph of f(x): = rectangles and right endpoints. Rn = Repeat the…

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Q: [Gradient Vectors] Let f(x, y, z) = x^3z − yz2 . (a) If we start at the point (1, 3, 2), then in…

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Q: Find the ed or y = sin(x) y -1- 품플 쮸 ㅠ X

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Q: Let F(x)= = =[ −7 cos(t²) dt. Use the Fundamental Theorem of Calculus to find F'(x). F'(x) =

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Q: rectangular building is to be built on a triangular corner lot with the perpendicular sides equal to…

A: We will find the required  maximum area.

Q: [Directional Derivatives] Calculate the following directional derivatives. w(x, y, z) = xy^2 / z^2…

A: Directional derivative of the function f(x,y,z) at (a,b,c) in the direction of (x,y,z) is given by,…

Q: Question 6. Find the area of the region outside the polar curve r = , but inside r = cos(40). As…

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Q: 5x 2. lim x→+∞ In(2+ex)

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Q: A storage bin has the shape of a cylinder with a conical top. What is the volume of the storage bin…

A: volume of storagr bin is volume of cylindwe +volume of cone volume of cylindwe =πr2hvolume of cone…

Q: 6.2 If 20% of x equals 7, what is x?

A: Solve the following