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Q: Find 312 i-0

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Q: ||r'(t) x r"(t)|| Use the formula k(t) to find k(t). 13 ||M(t)||* 15: r(t) = t’i + tl5j K(t) =

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Q: Solve the triangle shown to the right. 60° (Simplify your answer.) as (Type an integer or decimal…

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Q: Determine the general solutions of the following differential equations. 1. (2x3 – xy? – 2y + 3)dx –…

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Q: Find E( +1)? O 367 418 O 423

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Q: Q1) Determine if the following integrals converge or diverge. If the integral converges determine…

A: Given query is to find integral converges or diverges.

Q: A curve in the plane is defined parametrically by the equations x = t +t and y t* + 2t2. An equation…

A: The equation of the tangent line is: y-y1=mx-x1 Where m is the slope of the tangent line. And The…

Q: Find the area bounded by y = x + 4 and y = x2 - 2.

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Q: For x = t3 + 2, y = 3 – t, give an equation in terms of x and y.

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Q: Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall…

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Q: If y = In dy then dx 10 10 20 et - E) eT – 10 A) x – B) eT D) 0 eT – 10 10 — еT Of –

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Q: Find 8 i8 Z = -12 ti2

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Q: Find the area bounded by the given curves, axes and/or lines. 1. y2 + x – 4y = 5; y-axis

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: 4. x(x² – 1)² dx

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Use Disk Method only Find the volumes of the solids generated by revolving the regions bounded by…

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Q: Find the exact value using a sum or a difference identity. SHOW ALL WORK– include the formula,…

A: cos(225°) here 225° = 180°+45° cos(225°) = cos(180°+45°) cosθ is negative in the 3rd quadrant since…

Q: Solve the exponential equation algebraically. Approximate the result to three decimal places. (Enter…

A: We have to calculate value of x.

Q: x+3 Where is f(x) discontinuous? 2²+4x+3 О-3,—1 O -1 O -3 O f (x) is continuous everywhere

A: To determine the points where the given function is discontinuous.

Q: A cylinder (round can) has a circular base and a circular top with vertical sides in between. Let rr…

A: Given ,  A cylinder (round can) has a circular base and a circular top with vertical sides in…

Q: im

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Q: Q5) Find the integration by using (by part method): S e3X sin X dX

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 3z F(x) = | cos (t°) dt.…

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Q: An advertising agency spends £x on a newspaper campaign and a further £y promoting its client's…

A: The Multiplier Method of Lagrange We may need to maximize (minimize) a function that is constrained…

Q: Evaluate the double integral SR Sf(r, 0) dA, and sketch the region 5. S V9 – r² dr d0

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

A: To find the domain for given vectorr(t)=cosπti-lntj+t-2kand also to find rt0, t0=3

Q: What is the value of b in the following matrix equation? -3 11 a b O 26 +3 8 d 35 14 2 O 15 O 5 O 19…

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

Q: Maclaurin series for the given function

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Q: 12. Solve the second-Order differential equation:- y = e* (use method of variation of parameters)

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Q: 1 3. Savads 4Vūdu 4.

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Q: (d) sec(x) – sec(x) sin²(x) = cos (x)

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Q: Problem 3: Given a function 4 - x2 g(x) = 3 - Vx2 + 5 Page 1 of 3 Use analytical method to determine…

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Q: Q2 Evauate : fx V+1 dx

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Q: 5. Find the Maclaurin series for f(x) = In(1 Do not use the building block from the previous…

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Q: dx ²+8x-9

A: Given: ∫dxx2+8x−9 Let I = ∫dxx2+8x−9 ⇒I = ∫dxx2+9x-x−9

Q: The graph of the function f (2) = 2 arcsin(x – 4) +1, is best pictured by:

A: We will put the x values and get the f(x) values.

Q: Step 1 To evaluate the sum Si, the following property of summation can be used to find the sum. Σ Σ…

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Q: 2. S(e" + e-3)² dt

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Q: х- у 3. f(x, y, z) = y? + а. f(3, —1, 2) b. d. f(2, 2, 100) с.

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Q: r(t) = 4 cos(7t)i+4sin(7t)j+3tk

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Q: 1 over the interval (3, 6] using five approximating Estimate the area under the graph of f(x): x2 +…

A: Solve the following

Q: Find the average value of the function over the given Interval and all values of x In the Interval…

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Q: Find the Maclaurin series for the given function f(x) = e-6x

A: The maclaurin series is: f(x)=e-6x     ,    f(0)=1f'(x)=-6e-6x     ,    f'(0)=-6(1)=-6f''(x)=36e-6x…

Q: Find the area of the region bounded by the curve y = 9- x2 and the x-axis. Answer:

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Q: True or False: If lim f(x) = 2 and lim g(x) = 4, then lim[-3f(x)² – 49(x)] = -4 %3| True O False

A: Given: limx→afx=2 and  limx→agx=4.

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: xp - )s ɛ

A: As per the guidelines I can solve only first question

Q: Perform the addition or subtraction and use the fundamental identities to simplify. There is more…

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Q: Michael has a math test tomorrow. His score is related to the amount of studying he does in…

A: topic - independent and dependent variables

Q: Use the given function value and the trigonometric identities to find the exact value of each…

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Q: Find both first partial derivatives. z = 10y² Vx Oz dz %3D %3D

A: