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Q: Determine whether the series converges or diverges. 00

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Q: Solve by recognizing that the differential equation is one of the three types whose solutions we kno...

A: Given, y' = -0.13y y(0) = 9 y(t) = ?

Q: the limit is negative infinity enter "-INF". x2+4x-12 lim→2 x2 –4 x2 +4x–12 lim→-2 x² –4 x2 +4x–12 l...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: Sketch the graph of the derivative of given functions

A: (a) From the given graph, it is the straight line that is parallel to x-axis. Therefore, the functio...

Q: Calculate the derivative: d Li tandt = t2-1

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Q: Find a polynomial function of smallest degree with integer coefficients that has the given zeros. 0...

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Q: For the sequence an = an –1 + An – 2 and a1 3, a2 = 4, | its first term is its second term is its th...

A: Given, a1 = 3 a2 = 4 an = an-1 + an-2

Q: Find the paramtric equations for the tangent line to the curve x = t4 - 1, y = t3 + 1, z = t1 at th...

A: To Find: Parametric equations for the tangent line to the curvex=t4-1, y=t3+1, z=t1at the point 15, ...

Q: Parametric Equations Point x = 8t, y = 4t – 1 t = 5

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Q: Suppose that the output Q (in units) of a certain company is Q = 75K1/3L2/3, where K is the capital ...

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Q: If x moves from a to a nearby value a + dx, how do you estimate the corresponding change in the valu...

A: If x moves from a to a+∆x, then the corresponding change in the value of a differentiable function f...

Q: The marginal cost (dollars) of printing a poster when x posters have been printed is given by the fo...

A: Given Marginal cost of printing a poster when x posters have already printed is given by C'(x)=x−...

Q: Solve #9

A: Given, f(x)=sinxg(x)=-2sin(x+π) The graph of the given function is,

Q: Hw: Al-z,0), B(210), (slope of Am) - (slape of Bm) = -, what's the trajeebory of m?

A: Given, A (-2, 0) and B (2, 0) (Slope of AM)*(Slope of BM) = -1/2 Let's assume, The coordinate of poi...

Q: A net is dipped in a river. Determine the flow rate of water across the net if the velocity vector f...

A: To Determine: A net is dipped in a river .determine the flow rate of water across the net if the vel...

Q: Answer both parts a and b

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Q: Find the linearization of the function f(x)=(1/3x+2) at x=−1. L(x)= x The exact value f(x) The ap...

A: Since , The equation for the linearization of x at a is L(x) = f(a) + f'(a) (x-a) Here , a = -1 Giv...

Q: Qyestion 12 Hw 10 A ladder 26 ft long leans against a vertical wall. If the lower end is being m...

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Q: Let u = (-3, -1, 3) and : = (3, 1, 2). Find the vector component of u orthogonal to a. a 3D

A: Since you have asked multiple questions in single request so we will be answering only first ques...

Q: For the given position vectors r(t) compute the unit tangent vector T(t) for the given value of t . ...

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Q: Find the Maclaurin series of cos(2x) showing all work.

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Q: The bar graph shows the average number of hours U.S college students study per week for seven select...

A: Number of hours students study weekly for Physics = xNumber of hours students study weekly for Engli...

Q: Use the graph of the function y = f(x) provided above to fill in tables below (write DNE (does not e...

A: We have to find the limit from the figure.

Q: Sketch the graphs of two distinct functions with the property f′(x)=−x^2+x

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Q: Expand xy² + 2x – 3y in powers of (x + 2) and (y – 1) upto third degree | terms.

A: Given , f(x,y) = xy2 + 2x - 3y By Taylor's theorem f(x,y) = f(a,b) + {(x-a)fx(a,b) + (y-b)fy(a,b)...

Q: Find the area between the curves. x= - 5, x = 2, y =x, y = x² - 2 The area between the curves is (Ty...

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Q: Evaluate the indefinite integral

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Q: Salt water with a density of 8 = 0.25 g/cm? flows over the curve r(t) = /5ti+ tj, Osts 5, according ...

A: Given: δ=0.25 g/cm2, r(t)=5t i+tj, F=δv, v=xyi+(x−y)j, 0≤t≤5.

Q: Use a polar coordinate system to plot the point with the given polar coordinates (-1, 3π/2)

A: Use a polar coordinate system to plot the point with the given polar coordinates -1,3π2 Here r=-1 , ...

Q: The purchase value of an office computer is $12,500. Its annual depreciation is $1875. Find the valu...

A: Given- The purchase value of an office computer is $12,500 and its annual depreciation is $1875. To ...

Q: Find the sum: - 4+ - 6+ - 8+ ... + – 10 Answer:

A: Given, The series -4 + (-6) + (-8) + ... +(-10). To find: The sum -4 + (-6) + (-8) + ... +(-10).

Q: Find functions f and g so that f • g = H. 73) H(x) = (5 – 2x3,2

A: Given H(x)= (5-2x3)2

Q: 2. Find the exact value a. sec (2π/3) b. sec (-π/6) c. sec 135° d. sec (-210°) e. csc (3π/4) f. csc ...

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Q: )Use the Sandwich Theorem to show that lim cos x-1 =0. x2 Find f'(x) for f(x) = sec(vx2 + 1).

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Q: The radius of a circle is increasing at a rate of 7 centimeters per minute. Find the rate of change ...

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Q: A motorboat traveled 36 miles downstream, with the current, in 1.5 hours. The return trip upstream, ...

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Q: Graph one period of the function y = 3 sin 2x.

A: Given: y = 3 sin 2x To graph: One period of the given function.

Q: Using the Ratio test, determine the convergence of the given series: Σ n(3n + 1) In(n² + 5) (n + 2) ...

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Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms c...

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Q: Given the following polar equation, what is the length of the curve over the given interval? equatio...

A: solution:-