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Q: Let h(t) = 3t3.2 7t-3.2 %3D | Then h'(t) is h'(1) is s! (7),.4 and h''(1) is

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Q: Determine whether the series (-1)". converges or diverges. Vn3 +2 n=1

A: Apply Leibniz test for convergence

Q: | tan 3x sec 3xdx 3.

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Q: dy and d'y of the parametric equations Determine da da 1. a (t) = t - 4t and y (t) = 2t – 6t %3D

A: 1)x(t)=t2-4tDifferentiate w.r.t 't'dxdt=2t-4 --->1dtdx=12t-4…

Q: Tind the vudivs and interval of convergense of the powe Series, (-2)" (x+2)" San

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Q: Show that the production function f (x) = - () x3 + 10x? + 5x, -∞< x< ∞ has both a concave and…

A: Find your answer below

Q: ASSIGNEMNT #5 Determine if the function is continuous on the indicated close interval SVx +1 (5- x 0…

A: A function y=f(x) is said to be continuous at x=a iff, limx→a-f(x)=limx→a+f(x)

Q: A theorem states that one local extremum implies absolute extremum. Verify that the following…

A: A(r)=12r+3πr2 , r&gt;0SupposeA'(r)=0(-1r2×12)+6πr=0-12+6πr3=0 ⇒r3=126π⇒r3=2π⇒r=2π3

Q: Find the principle solution of sec(4z) = 2. If there is a distinct solution from the other half of…

A: sinπ3 = 32 and  sinπ-π3=32 cosπ3=12   and   cos2π-π3 = 12 .

Q: find (a) (f + g)(x), (b) (f - g)(x), (c) (fg)(x), and (d) (f /g)(x). What is the domain of f /g? i.…

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Q: A ball is launched straight up in the air from a height of 5 feet. Its velocity​ (feet/second) t…

A: f(t) = -34t + 285 this is velocity function for the distance we have to integrate the function s(t)…

Q: For each of the following, solve exactly for the variable z. (a) 1 -+-. 0.3 (b) - +- 0.5

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Q: 2. Find the value of o(2) for a solution o(x) to the initial value problem: y" + 4y' + 4y = 2x + 6;…

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Q: Let a = (7, 10, 1) and b = (10, 3, 6) be vectors. Compute the cross product %3D ахЬ.

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Q: - A ladder of length 17 feet is leaning against a wall. The base of the ladder is moving away from…

A: Given query is to find the rate of change of angle.

Q: Convert the Cartesian equation x 2 + y 2 - 6x = 0 to a polar equation.  r² = 6cosθ r = 6sinθ r =…

A: The given Cartesian equation x 2 + y 2 - 6x = 0 ................................... (1)

Q: 1,0 10 A graph of f(x) is shown above. Using the geometry of the graph, evaluate the definite…

A: According to the policy, I am providing the answer of first three subparts. Explanation of the…

Q: dx is x V16x2-25 3.

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Q: Evaluate the definite integral. 13 i+ej+t k dt O e13 – 1 -(61 -1) + 1 13 e13 i- (e- - 1) j+ 1 13 2…

A: We have to find the integral

Q: Match the conclusion of the D-test D(x,y) 0, f_xx (x,y) 0, f_xx (x.y) 0, f_xx (x,y) > 0 (x,y) is…

A: Given problem:-

Q: Find the domain and range of the function g(x, y) = 8\/- 9y + 27x². %3D Indicate the domain of g in…

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Q: Simplify sec(arcsin ). no solution O (3V5)/5 O (2 V5)/5

A: Solving the problem by finding the value of the expression.

Q: Use four rectangles to approximate the area of the planar region under the graph of f(x) = 0.3x –…

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Q: Find an equation of the plane through the three points given: P = (0,0, 5), Q = (-4, 2,2), R = (-1,…

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Q: Find the intersection of the line and plane: 2x + 4y – 3z = 19, r(t) = (-2, 1, –1) +t (1, –1,2)

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Q: ................ Absorption of Drugs The concentration of a drug in an organ at any time t (in…

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Q: Evaluate the line integral, where C is the given curve.       Cxy ds,    C: x = t2,    y = 2t,    0…

A: Given:        C xy ds ,      x = t2      y = 2t       0 ≤ t ≤ 1

Q: The Cartesian equation, x = 4, is equivalent to the polar equation, 1 4 cose 4 cose 43 r = cose Or2…

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Q: 4cscθ

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Q: 3. Evaluate the following integrals: cos e OP (1+ sin 6) Vsin e G = H = sin (-9x) dr I +1 dr 1² In…

A: We have to find the integrals.

Q: i an arithmetic series is 38. irst 40 terms of the series is 1250. the common difference of this…

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Q: S sin3xsin 2x dx 3.

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Q: For the function f(x) = x ln(1+ x°), %3D a) What is the Maclaurin series for f and its interval of…

A: Given function is fx=xln1+x3Maclaurin Series of function fx…

Q: If the terminal arm of an angle, x, in standard position passes through the point (-a, -2a) where a…

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Q: Simplify arcsin(sin 6 7). 6 7I

A: We have to find the angle

Q: 15 -8 -3

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Q: The cost of producing q units of good is C(q) 0.1q2 +3q+ 100 pesos. The firm can sell q units when…

A: This question can be solved using the concept of derivatives and rate of change of quantities.

Q: 1. Find the first derivative of the function g(I) = 81+ 12z - 48T. g'(z) = 2. Find the second…

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Q: Find ?Va² - x2 dx

A: Explanation of the answer is as follows

Q: #10-The maxgmad cost of a produt is madeled by T when x:3, C40. Find the cost furction.

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Q: Write the domain of the relation y = arccsc x. x≤-1 or x≥1 -1≤x≤1 0≤x≤1

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Q: Direction: Prove using the three conditions of continuity if the following function is continuous or…

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Q: dx

A: We will use substitute method to solve this integrate

Q: 5. Describe the difference between the segments AB, BC, and CD. speed A BC D EFG time (t)

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Q: Select the answer option that corresponds with polar coordinates (2, 90\degree). 90° 2 WIN 135° 4…

A: This question is related to Coordinate systems, we will solve it using given information.

Q: sin 4x, + c sin32x. A. sin 2x- (sin 2x - m 2*) 3 + (х + 16 - 8. 16 16 3 sin3, sin x В. 8 sin x 16…

A: Expand (sinx)^6 into single power.

Q: Use Mean-Value theorem to find c X +2x-1 ; [o,i] xj[3,5] Use L'Hôspital vule to find the wmit lime…

A: We will solve the Problem on limits and mean value theorem.

Q: Find the sum of the following infinite series. If it is divergent, type "Diverges" or "D". 1 Σ 8. n…

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Q: Find the magnitude and direction (in degrees) of the vector. (Assume 0° s e < 360°. Round the…

A: This is a problem of vector. Based on the general formula we will find out magnitude and direction.

Q: Choose the point which shows the correct location for the polar coordinate (-2, – 3). 90° WIN 4 150°…

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