(xD –8)(xD+3)

Q: x*dx Using trigonometric substitution , (1+x²) = A) None sec³9d0 B tan20 tan*Ode sec®

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Q: Use the fundamental theorem of calculus to evaluate the following definite integral. | (3x2 + 9) dx…

A: Given query is to find the value of the integral.

Q: x = 3 sin? (2t) – 2 ;teR y =1-3 cos (2t)

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Q: Find the area of the plane region bounded by y = x°, x = -2 andx= 2:

A: According to the company rule we can answer only first question and rest can be reposted.

Q: Use a local linear approximation of the function f(x) = Vr cos[(V2x)] approximate v3.98…

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Q: ||r(t) x r"(t)|| ||r'(t)||* Use the formula K(t) to find K(t). r(t) = 4 cos(7t)i+ 4 sin(7t)j + 3tk…

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Q: 13. Solve the following system of equations using either the substitution method or the graphing…

A: Linear equation: Linear equations are first-order equations. An equation with a homogeneous variable…

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: Your are driving away from New Orleans. Your distance (in miles) away from New Orleans x hours after…

A: We have to find the value of x such that the distance form home is farthest.

Q: Find the volume of the solid bounded by the plane z = 10 - 5x - 8y and the coordinate planes in the…

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Q: Describe the graph of the equation. r = (5 – 21) i + 7tj O Itis a line in 2-space through the point…

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Q: 1. Find the area bounded by the parabola y?=4ax, the x-axis, and the lines x=4a, x=9a. 2. Find the…

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Q: x³dx U sing trigonometric substitution, is equivalent to

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Q: Determine the following limits, using o or - o when appropriate, or state that they do not exist. x5…

A: Solve the given limit question

Q: integral using ir

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Q: 3 dy Зу =-sin -1 +C 4- 9y2 3 A True False B.

A: The given integral is 3/sqrt(4-9y2).

Q: Calculate z=e^-a sin(x)+10 √y  for a=5 , x=2 and y=8 in decimal value

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Q: 3x? (x³ + 4)* dæ = 5120 Select one: O True O False

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Q: 5. A ladder of length 4v3 metres is resting on a wall. The wall makes a 60-degree angle with the…

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Q: csc?y dy is equal to A -у соty — coty dy B) None у сoty — coty dy D у сoty + coty dy

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Q: If C(t) = 46.5t e -0.24t measures the concentration, in ng of a drug in a person's system t hours…

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Q: pind the area of an are petel of ra 8cos (30). petel is beunded by - Dend e= ņ Hint; one lineso2…

A: We have to find the area.

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution . 1.

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Q: For bER, b>0, b÷1, which of the following is not a property of the exponential function f(x) =b*? A.…

A: We  have to find out about exponential function

Q: The general solution of the differential equation dy/dx = 12x³ is y = 4x3 + C. Select one: O True O…

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Q: One of the correct. steps to evaluate x²inx. x²Inx dx to yield the correct integral (A dx x2Inx B x³…

A: The given integral,     ∫x2lnx dx

Q: Is) Phd an equetian f te tangerut lme et a point C0.0) on the cur ve X= t-144 Aswers: aj 2y-x>0…

A: Topic = Derivative

Q: - 0.26t ng If C(t) = 53.3t e measures the concentration, in of a drug in a person's systemt hours…

A: Given query is to find the time when concentration will be maximum.

Q: Use the substitution u = x + 14 to find the following indefinite integral. Check your answer by…

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Q: Waste Management Company wants to construct a dumpster in the shape of a rectangular solid with no…

A: We need to find dimension.

Q: 5. Two people are 50 feet apart. One of them starts walking north at a rate so that the angle shown…

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Q: Evaluate the definite integral using the given integration limits and the limits obtained by…

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Q: Verify Green's Theorem by evaluating both integrals y2 dx + x² dy = dA ду for the given path. C:…

A: In this question we can verify the Green's Theorem . i.e, ∫C M dx +Ndy = ∫∫R ∂N∂x-∂M∂ydA .

Q: Use the function f and the given real number a to find (f ¯-)'(a). (Hint: See Example 5. If an…

A: Given:      f(x) = ( x+7) / (x+2)

Q: -z“, where T is The temperature at a point (x, y, z) is given by T(x,y, z) = 200e measured in…

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Q: A ladder of length 4v3 metres is resting on a wall. The wall makes a 60-degree angle with the…

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Q: x2 - 4x - 12 Find f'(x), f'"(x), and f8(x) for the function f(x) X+2 f'(x) = everywhere that f(x) is…

A: Given

Q: One of the correct steps to evaluate x2Inx dx to yield the correct integral

A: Our Aim is to identify the correct step to evaluate ∫x2 ln (x) dx to yieldthe correct integral.

Q: Find the area of the enclosed region bounded by the graphs of y=e^x, y=x, the y-axis and the line…

A: Here we have to find the area of the enclosed region bounded by the graphs of y=ex,y=x,the y-axis…

Q: Describe the graph of the equation. r = (6 – 31) i – 81 j O It is a line in 2-space that goes…

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Q: ydy can best be evaluated by algebraic substitution. A) True B) False

A: We have to solve above question and find true or false

Q: Find the volume of the solid that is bounded by the surfaces z = 82 - x2 - y2, z = 0, x = 0, y = 0…

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Q: answer is partialy Answer the questions for the following polar equation. 3 r = 1- cose (a) Identify…

A: Parabola

Q: ||r'(t) x r" (t)|| Use the formula k(t) to find k(t). r(t) = eti+e*j 42 est K(t) %3D (36 el2t +…

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Q: Approximate 2(-1)(n+1) Σ п! n=1 Use |S – SN| < bN+1• - (Use decimal notation. Give your answer to…

A: We have to approximate  S=∑n=1∞ 2*(-1) n+1/n!      On expanding this series we get S= 2[1-1/2! +1/3!…

Q: The general solution of the differential equation dy/dx 12x is y = 4x + C. Select one: O True O…

A: A separable differential equation can be written is of the form of dydx=f(x)g(y).

Q: Use the Integral Test to determine whether the infinite series E is convergent. (Use symbolic…

A: We have to find if the series converges.

Q: Differentiate the following functions. Simplify and factor your answer where possible. a) f(x) = e2x…

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Q: (t) satisfies the following differential equation. P is measured in millions and t is in years

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Q: Resource allocation. A coffee manufacturer uses Colombian and Brazilian coffee beans to produce two…

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