Simplify and write the trigonometric expression in terms of sine and cosine: 2 + tan²x 1 = g(x) sec² x g(x) =

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Q: (a) x6 (b) x² - 4 + 4x² + 16 + Ax + A x - 2 te (x² − x + 1)(x² + 9)² B -x+ + + B x + 2 Cx + D 2 '+9…

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Q: 7. Give three reasons why a function might not be differentiable at a particular value of x.

A: we will give three reasons why a function might not be differentiable at a particular value of 'x'.

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Q: The point (-13,-12) is on the graph of y= f(x). a) A point on the graph of y = g(x), where g(x) = =…

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Q: Find [COR cosh’(t) sinh(t) dt . 2

A: To find the following integral.

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Q: The point (-13,-12) is on the graph of y= f(x). a) A point on the graph of y = g(2), where g(x) = —…

A: Given: The point  is on the graph of .To Find: (a) To find the point on the graph of , where .(b) To…

Q: Submit Answer 1. [-/5 Points] ck esc Show that the curve of y = 9ex + 3x + 8x3 has no tangent line…

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Q: Find if the series converges or diverges.

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Q: 2. Consider the function: (a) Calculate Vf at the point (0,2). Vf(0, 2) = f(x, y) = y² sin(3x) + 5y…

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Q: I am not fully grasping the transformation from sinx to tanx and from cosx to tanx in step 2 of the…

A: To evaluate the following integral by using the substitution .Note: Since, the student has mentioned…

Q: Let C be the curve y = 7- 6 5 4 3 2 1 @ B +e 3 0.25 0.5 0.75 1 1.25 1.5 1.75 2 Find the surface area…

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Q: 3) What does the matrix 1 0 0 0 1 0 001 represent?

A: The matrix represents the identity matrix of size 3x3.Explanation:In the given, the matrix…

Q: ले f(x) = 2/3 - 4

A: The given function is

Q: Find the length of the curve. L = r(t) = (2 sin (t), 7t, 2 cos (t)), -4≤ t ≤ 4

A: The curve is defined by  .Find the length of it.

Q: Find if x(8) = 9x5 + 6yª. dy dx

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Q: f(x) = 7x^-8e",

A: f(x)=7x4−8exUsing the power rule,ddxxn=nxn−1ddxeax=aeax

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A: The objective of this question is to calculate the magnitude of the torque on a crankshaft given the…

Q: For the curve given by r(t) = (5 sin(t), -3t, -5 cos(t)), Find the unit tangent T(t) = (000) Find…

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Q: Find the limit, if it exists, or type N if it does not exist. 5zex² + y² lim (x,y,z)→(1,3,2) x² +…

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Q: Consider the helix r(t) = (cos(4t), sin(4t), -2t). Compute, at t = : A. The unit tangent vector T…

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Q: apply either the Alternating Series or Ratio Test To solve for these series

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Remember the constant of…

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Q: Calculus I May I please have the solutions for the following questions? Thank you

A: This answer is given below.Explanation:

Q: The reaction R to an injection of a drug is related to the dosex (in milligrams) according to the…

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Q: give the derivative of y = x^6

A: Solution-

Q: 11. Evaluate the following limits. If the limit does not exist, write DNE. 2x²-32 -√x a) lim X-4 2-√…

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Q: Find the maximum rate of change of the function f(x, y) = 4y³ X at the point (2,1)

A: To find the maximum rate of change of the function  at the point .

Q: Solve the initial value problem below using the method of Laplace trans.orms. 6ty' - ty' + y = 2,…

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Q: to - if r≥ 1 and a < 0. prove that the geometric series Σ Σ ar" diverge n n=0

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Q: In Exercises 1-6 you are given the parametric equations of a curve and a value for the parameter t.…

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Q: If u = [5,-3,-1] and = [2,-1,4] find: a) 2-u c) Find G, where F(3,-4,5) and FG = 30 b) |ū+ - 2k|…

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Q: (a) Use the tabular method of integration by parts to determine [(x – 2x+1)sin xdx (b) Show that π…

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Q: Consider the following. sine sin³(y) cos® (v) dy This is an integral of the form U = + J sin (y)…

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Q: 97. To determine the value of the definite integral: 3 x - 3 x² - 6x + 10 a. Complete the square of…

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Q: Determine the line of intersection of the two planes: x+y-z-2=0 and 2x-y+3z-1=0. Write the…

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Q: Instructions can be found in the image attached

A: (a).  f(x)=x100g(x)=(x+3)  (b).  f(x)=x1​g(x)=x3−1     Explanation:

Q: sin²(t) + cos²(t) sin²(t) 2

A: f(t)=sin2⁡(t)+cos2⁡(t)sin2⁡(t)

Q: Determine the convergence or divergence of the series.

A: The answer is given below.Explanation:

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Q: (e) ] 1 x2 _ 5+6 dx

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

Q: The monthly profit from the sale of a product is given by P = 18x - 0.1x². 50 dollars (a) What level…

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Q: Consider the following. y = 2x³/2+6 y 50 40 30 20 10 2 4 8 X Find the arc length of the graph of the…

A: Consider the following.To find the arc length of the graph of the function over the indicated…

Q: Use the definition to find the Taylor series centered at c=0 for the function f(x) = sin(3x) Select…

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Q: Evaluate the following limits: x²-16 a) lim- x-4x²-x-12 b) ) lim (x-2)(x+2) x3-1.x A) A) 2 B) 8 B) 0…

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