Find the Maclaurin series of 8* . Σ

Q: find the unit tangent vector N(t) to the curve r(t)= when t=1

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Q: 4. Use u-substitution compute the following integral r5 √ x√25-x²dx

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Q: 2. Find the area of the triangle PQR where P(0, 1, 1), Q(3, -2, 1), R(1,0, A. 4√2 B. 5√3 C. 12√3 C

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Q: An invasive population of 40,000 Nutria is being hunted in a local swamp. The amount of Nutria…

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Q: 9. Evaluate the following series: 7 (-1)^(6k) k=3

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Q: 64x+530 The average cost function for a particular business that sells toys is represented by A(x) =…

A: The average cost is, Ax=64x+530x where A is represented in dollars and x in the number of toys…

Q: E. Transfer Function. Determine the Transfer Function of the following systems. 10) y"(t)- 2y' (t) =…

A: To determine the transfer function of the given system, we need to take the Laplace transform of…

Q: If Nia administers Advil at 65 ml/h to a patient, and the drop factor is 18 gtt/ml, calculate the…

A: Volume =65 ml/h or 1.1 ml/min Drop factor=18 gtt/ml flow rate=?

Q: Question 4 Consider the function (i) Find (ii) Find af ах ду 8f8f 8f Ах2 Әх ду ду f(x) = (x - 2)²yº…

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Q: Evaluate the indefinite integral: dx x ln 2x S FI +C

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Q: f cos(5x) dx

A: I= integrate of (cos(5x)).

Q: Find the partial derivatives fa, fy, fæx, fyy, fay for the function f(x, y) = 2 x² y² + 2 y² + 4x¹

A: Explanation of the answer is as follows

Q: Modeling with Piecewise Linear Functions Many relationships that we observe do not fit a simple…

A: Piecewise function is a function with different sub-functions that rules along different values of…

Q: Solve the logarithmic equation for x. (Enter your answers as a comma-separated list.) log₂ (x² - 4x…

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Q: How many solutions does the following equation have? log(x² + 2x - 8) = 0 O None 0 1 O 2 O Infinite

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Q: In x dx X f. fe"

A: I=∫elnxdxx

Q: Find the general indefinite integral. Use an upper-case C for | sec²(4/x) x2 dx = upper-case C for…

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Q: A manufacturer estimates that its product can be produced at a total cost of C(x) = 45,000 + 100x +…

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Q: If a population grows 15 % each year, what is the annual continuous (relative) growth rate? O 16.18…

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Q: Find the length of the curve 9y2=2x3 from x=0 to x=30 when y greater or equal to zer0

A: To find the length of the curve 9y2=2x3 from x=0 to x=30 when y≥0.

Q: || X₁ x₂ = 0

A: Use matrix multiplication rules

Q: 4) f(x) = ln(1 + 3x)

A: To solve the following

Q: Consider the following total revenue function for a hammer. R = 36x − 0.01x2 (a) The sale of how…

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Q: Write the equation of the line that represents the linear approximation to the following function at…

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Q: Solve the quadratic equation by using the quadratic formula. 4x² + 5x+3=0

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Q: Find the limit: ( lim t→0 -1t 1 t t13 4 -) t¹4 – †13 ¹ 16 +t

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Q: Determine the most possible complex zeros of the following function: f(x) = -4 0

A: The function is given as f(x)=-4.

Q: 77°F Sunny Which of the following functions could make the graph 27 18 16 14 12 10 N. Of(x) =…

A: Graph of a polynomial function

Q: For 9/-3, write the conjugate of the complex number, then multiply the number and its conjugate.…

A: We have given a complex number as  9i - 3  We have to find the conjugate of this complex number. We…

Q: Solve cos(x)=−0.73 on 0≤x<2π

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Q: Given f(x, y) = 2x4 - 3xy³ - y, find fz(x, y) = fy(x, y) =

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Q: Find the points on the curve where the tangent is horizontal or vertical. If you have a graphing…

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Q: 6. The numbers in the sequence defined by a₁ = 1, a₂ = 3, and an = an-1 + an-2 for n≥3 are referred…

A: We are give a sequence with general term defined as: an=an-1+an-2  for n≥3 Given terms a1 and a2, we…

Q: Find the work done by the force field F in moving an object from P to Q. F(x, y) = e-Yi-xe- j P(0,…

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Q: Let A(x) = f* f(t) dt, where f(a) is the function shown to the right. Answer the following questions…

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Q: Use the graph of f(x) to determine the following limits. The domain of f(x) is x E R. If the limit…

A: Graph

Q: Write an equation for the polynomial function graphed below -4 -3 -2 -1 4 3 2 7 3 & 2 3

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Q: 2009. Find the​ country's national credit market​ debt, D(t), since​ 2009, given that…

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Q: Subject: calculus

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Q: C. S cos(5x) dx e. S dx 25+ 16x² d. √x√7-x² f. £. Selnx dx X - x dx

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Q: Estimate the area under the graph of f(x)=1x+2f(x)=1x+2 over the interval [1,3][1,3] using eight…

A: We have to find the area under the curve.

Q: xe x145)dx (√3x + 1 + xe d) Į sec² x tan² x dx

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Q: Find all the possible rational zeros of the following polynomial: f(x) = 3x³ - 20x² +33x-9 O +1, +3,…

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Q: Find the volume of the solid that lies under the plane 4x+10y-22+19-0 and above the rectangle R ((x,…

A: The equation of plane 4x+10y-2z+19=0 and Region R=x,y:-1≤x≤4,-1≤y≤1

Q: Use the Laplace transform to solve the given initial value problem. yl-3y1+2y=e-4t; y(0) = 1, y/(0)…

A: eat↔LT1s-aGiveny'' - 3y' + 2y = e-4t ; y0 = 1 , y10 = 5

Q: F(s) = 29-s 2 s+10s +21

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Q: Suppose that is the finite region bounded by f(x) = √x and g(x) = 3 R Find the exact value of the…

A: For the two function f( x ) and g( x ) ( a ) the volume of the region obtained by rotating the…

Q: A window is composed of a semicircle placed on top of a rectangle. If you have 28 ft of window…

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Q: Give a vector parametric equation for the line through the point (2, -1, 0) that is parallel to the…

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Q: Find the inverse function for f(t) = 96e⁰.1t f-¹(t):

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