Compute for dy dx cot(2x + ex) y = sec(2x + ex) · y = e²² csc(2x) + 2x cot (2x²)

Q: If csc t = 78.417, then csc(-t) = = If cott = 38.09, then cot(-t) = If sect=482.148, then sec(-t) =

A: If csct = 78.417, csc-t = ? If cott = 38.09, cot-t = ? If sect = 482.148, sec-t = ?

Q: [3-R] [CLO 12] Give an equation for the line which passes through the point (−2, 5) and which is…

A: given equation of line passes through (-2,5) and perpendicular to line y=13(x+4)

Q: A spherical dust particle, with a radius a=0.11mm and density of 1030kg/m3, is sedimenting in the…

A: Given a spherical dust particle, with a radius a=0.11mm and density of 1030kg/m3, is sedimenting in…

Q: 2. If If ƒ(x) = , find ƒ '(0). et

A: 2) The fx isfx=xex

Q: 2. Consider f(x) = ax³ + x + 1, where a is a real-valued parameter. Find all possible values of a…

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Q: 4 1. f x² + x² dx 2 x² + 6

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Q: A kids' organization is currently selling their candy bars for $3 each, and sold 400 bars last year.…

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Q: If z = (x + y)e", x = 4t, y = 5-t², find dz/dt using the chain rule. Assume the variables are…

A: Note:- Since you asked multiple questions ,according to our policy we can solve only first question…

Q: [25-R] [CLO 28] The population of bacteria in a Petri dish at time t (measured in hours) is given by…

A: At t=0 there are 500 bacteria It triples every 3 hours.

Q: [18-R] [CLO 15] Suppose that f is a function. Give a formula for a function g, which is identical to…

A: Suppose that f is a function and a funtion g, which is identical to f , but translated 3 units to…

Q: Find the general indefinite integral. (Use C for the constant of integration.) fo Find the general…

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Q: Find the inflection point, if it exists, of the function. (If an answer does not exist, enter DNE.)…

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Q: Sketch the graph of the given piecewise-defined function. if x -2 f(x) = In addition to graphing the…

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Q: 9) Write the Maclaurin series for the given integral: cos(x²) dx

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Q: Which of the following are true statements? Mark all that are true. Olim f(x) = -6 and lim f(x) = -6…

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Q: Compute for dy dx

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Q: A nonhomogeneous y"' +9y' +14y=28x² + 36x +4+24e*, Yp(x) = x + 2x² equation and a particular…

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Q: Find rel 5 - dx X 1

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Q: Given the position function p(x) = e2x, find the acceleration function. 2x O Oe 4x O2e 4x O4e2x

A: Given: Position function p(x)=e2x We are required to find: Acceleration function

Q: or a particular pair of parents has probability 0.25 of having type O blood. Genetics says that…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 1 Sody y² +9

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Q: 7. Find the derivative of the following functions: a. y = esinx b. y = (5x6x8)14

A: (a) given y=esinx

Q: Find the indicated limit. lim (8t2 - 7t + 1) t-6

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Q: Determine whether the improper integral diverges or converges. [" 2 √x(x + 7) dx O converges O…

A: Given integral  ∫0∞2x( x + 7 )dxFormula used ∫1x2 + a2  = 1atan-1( xa )

Q: 4. Determine whether the given functions f(x) and g(x) are inverses of one another. Justify your…

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Q: 16. Find the area under y Step one: Integral. Step two: Evaluate Bonus. = xcsc (tan (x²))sec² x²…

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Q: x = 4 cost, y = 2 sint, t = - E|-

A: The slope of the tangent line to the curve is equal to the derivative of the given function at a…

Q: Find the area of the region that lies inside r = 4 sin 0 and outside r = 2.

A: We have to find the area of the region .

Q: Find an equation of the plane. The plane through the point (5, 0, 6) and perpendicular to the line x…

A: Given: A plane passes through point (5,0.6) and perpendicular to the linex=6t, y=5-t, z=8+3t We are…

Q: For the function f(x) = ax³ + bx²2, find a and b so that the point (1,6) is an inflection point of…

A: The function is given as , fx=ax3+bx2 find a and b so that point 1,6 is an inflection point of f.

Q: g(b) Use the Substitution Formula, f(g(x)) •g'(x) dx = ¸¶f(g(x))• g'(x) dx = S g(a) 2/3 2/3 S dy 2…

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Q: Find the length of the polar curve r = 0², 0≤0 2T.

A: L=∫abrθ2+r'θ2dθ

Q: d²y at the given value of t to the curve defined below dx² x = t - sint, y = 1-cost, t = 3 Find the…

A: x=t-sint y=1-cost Differentiating x with respect to t  x't=dxdt dxdt=ddtt-ddtsint dxdt=1-cost…

Q: given piecewise-defined function. <0 20 the pieces of the function, show whether endpoints are in…

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Q: Let f(x) = J(-4-x)² +4 if x = -5 4x + 24 if x = -5 Calculate the following limits. Enter "DNE" if…

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Q: 3. Determine the limit of each of the following functions if they exist: √x-2 x²-16 x²-x-12 x-4 a)…

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Q: Evaluate the following. 2 [² 2 √3+x4 dx

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Q: Find the volume of a parallelepiped with the given vectors as adjacent edges. u=(-9,-3,-4> V= w=

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Q: 4) √²/2 +4√xdx S

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Q: The amount A of dollars accumulated after t years through an investment of Ao dollars at an interest…

A: As given Continuous compound interest formula : A = A0ert where A0 = amount invested in dollars A =…

Q: Rounded to the nearest cent, find the amount of money accumulated in 10 years if $17,000 is invested…

A: we have given P=17000, time =10 years, and interest rate =7%=0.07

Q: Let z = f(x,y) = 10x² − 4xy + 25y². Find the following using the formal definition of the partial…

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Q: [11-R] [CLO 5] Expand the expression (2x + 1)2 (2 − x)

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Q: Approximate the area under the curve y=z³ from x=2 to x = 4 using a Right Endpoint approximation…

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Q: 1 2 4 3 2 1 1 1 2 3 4 a

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Q: 1 2. Without graphing, identify the key features of the given function. -vertex -axis of symmetry…

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Q: Find the values of x for which the function is continuous. f(x) = X - 7 x² + 2x - 63 O x # 9 O all…

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Q: Write the vector as a linear combination.   RS where R=(-4,-5) S=(1,5)

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Q: (a) Find symmetric equations for the line that passes through the point (2, -2, 7) and is parallel…

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Q: ********** ...... : O A fence 24 feet tall runs parallel to a tall building at a distance of 6 ft…

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