1. Find the area under the curve of y on the interval [1, 4).

Q: 3. Let f(x) = 1+x + x² + x³ +x* + x³. (a) definition of Taylor polynomials. Find T3(x), the Taylor…

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Q: Problem #8: Demand for a certain kind of SUV obeys the following equation, D(x, y) = 20,000 – V-…

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Q: 2+ex dx ex Evaluate:

A: Topic = Integration

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Q: if x3 + y3 =65, find the value of d2y/dx2 at the point (4,1)

A: Given that,    x3+y3=65

Q: sketch a graph of the given function..show all work..check answer with technology f(x)=x2ex

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Q: Use Theorem 9.11 to determine the convergence or divergence of the p-series. 1 1 + 4 8. 1 1 + 4 + 4…

A: Solve the following

Q: The function f whose gradient vector is vf(x,y) = (xIn(v + 7), 7x + y + 7> has two critical points…

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Q: Determine whether or not the improper integral is convergent, and find its exact value if it is…

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Q: 3) Find the missing angle and sides of the triangle below. Round the lengths of the sides to the…

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Q: hat lump sum must be invested at 6%, compounded monthly, for the investment to grow to $52,000 in 6…

A: Use compound interest formula.

Q: 1. Prove using vectors that the points (4, 3, 0), (2, 0, 1), (4, 1, -1), and (2, 2, 2) are the…

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Q: Evaluate the iterated integral. '5 (4z fIn(x) xe-Y dy dx dz Need Help? Read It Watch It

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Q: Write the integral in terms of u and du. Then evaluate. 12 sec (x) tan (x) dx, u = tan(x) (Use…

A: Given: I=∫12sec2xtan2xdx   ...1   We know that the Power rule: ∫xndx=xn+1n+1+C And ddxtanx=sec2x

Q: nd the gradient of the function at the given point. w = x tan(y + z), (12, 13, -11) W12, 13, -11)…

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Q: The matrix to the right is in row-echelon form and represents a linear system. Solve the system…

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Q: n17 + sin(19n + 7) n19 +7 Determine whether the sequence an converges or diverges. If it converges,…

A: Given the sequence is an = n17+sin19n+7n19+7

Q: Find the area of the region bounded by y = 6x-x? y=2x

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Q: Illustrate that the sum of the measures of the angles of a hyperbolic triangle is less than 180°.

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Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. Σ n V n2 + 4…

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Q: Determine at which points f(x) is discontinuous. f(x) = X-81 The function f(x) is discontinuous at x…

A: f(x) is discontinuous at points where f(x) is undetermined.

Q: Evaluate the indefinite integral. Use C for the arbitrary constant. 25 35e* dx =

A: Given problem :- Evaluate the indefinite integral. ∫ (25/x -35ex) dx

Q: Consider the table below for lim (f(n)). f (n) 510.5 1022 510.9 5110 510.99 51100 510.999 511000…

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Q: Determine the extreme values of the ff. functions. f(x) = 2x^2 +8x -11 on [2,4]

A: This is a problem related to maxima and minima. Based on the general concepts we will answer the…

Q: Given the following function: 5x? + 4 f(x) = %3D 2x + 10 Step 2 of 2: Find f(3) – f(4).

A: find f(3)-f(4)

Q: (a) sigma notation. You may use the following fact: Find the Taylor series of In(x) about a for a >…

A: Note :- these are multiple questions and according to our company guideline we can do maximum one…

Q: Evaluate the integral. sin (12x) cos (7x)dx | sin (12x) cos (7x)dx =

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Q: Evaluate the in tegral (x+ 2y) dy

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Q: has 1100 ft of fencing to fence in a rectangular horse corral. 550- x (a) Find a function that…

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Q: 1. Find the Gradient of the following F = x*e" - y': b. F, = 4x - 3y + 5=? а.

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Q: COS X Evaluate the integral: Xp- 4 + sin?x

A: To evaluate the given integral.∫cos x4+sin2 x dx

Q: 1. 2,5,8,11,14,.... 2. 50,43,36, 29,....

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Q: : If a linear system has the augmented matrix 1 3 1 -2 0 Then x1 = 0, x2 = 0, x3 = 0 is a solution…

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Q: .     f(x) = a/x2+b2 B.      f(x) = sin(ax+b) C.     f(x) = (x-a)(x-b) describe the critical…

A: Solving questions

Q: 4 Find lim х — 4 Væ – 2 x→4

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Q: Use the limit laws to evaluate the limit. X+2 lim X1 X+1 Select the correct choice below and, if…

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Q: points

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Q: 4. Given the function f(x) = x² - 6x + 9, show by IVT that there is/are c on [-3,3] such that f(c) =…

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Q: 5 5 4 f(x) dx %3D 8 аnd 1 If f(x) dx = 3.2, find f(x) dx.

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Q: Simplify the following: 72-8(7¹) + 5(7) +49(7-2).

A: This is a problem related to mathematical algebra. Based on the general formula we will answer the…

Q: Use the graph to estimate the open intervals on which the function is increasing or decreasing. Then…

A: Graph of the function is given, we have to find its increasing and decreasing intervals

Q: Seven carpenters and five masons earn total of 2,300 per day. At the same rate of pay three…

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Q: Find the break-even point(s) for the revenue and cost functions below. Separate multiple answers…

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Q: Suppose y(t) = 4e-5t is a solution of the initial value problem y' + ky = 0, y(0) = yo. What are the…

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Q: Use symmetry to evaluate the double integral. (4 + x*y) dA, R = [0, 3] × [-3, 3] (Give your answer…

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Q: 1) State the values of sin A, cos A, and tan A. 2) Using the diagram below, find sec B, csc B, and…

A: Explanation of the answer is as follows

Q: Consider the function below. (x) = -2x² + 4x + 5 (a) Find the critical numbers of f. (Enter your…

A: Given: For (a), f'(x)=-2x2+4x+5' =-4x+4 So, the critical number is f'(x)=0⇒-4x+4=0⇒x=1. Graph: For…

Q: 5/3 1x² /100 – x² – y² + 10 75 - Let J= z dz dy dx - 5/3 13 (x? +y?) (i) Express the integral J in…

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Q: For each problem, use the method of cylindrical shells to find the volume of the solid that results…

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Q: 3. Find Power Series Representation of f (x) around c=0. %3| a) f(x)= and 1-x b) f(x)= (1–x)

A: Solving