dy 3. Find if y = sinh(sec2x) . Simplify your answer. dx

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Q: FIND THE GIVEN DIFFERENTIA Non Exact Equation ( 2x* - y) dx + x dy =0

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Q: Find the indefinite integral and check the result by differentiation. COS X dx 1- cos?x

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Q: 5 tan a If f(2) = f'(x) - then f'(3) = %3D

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Q: Evaluate the integral (Trigonometric Substitution) 1 (a²x6 – x8)Zdx

A: To find  the  value of given integral.

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A: The objective of the question is evaluate the triple definite integral.

Q: 2. Find and classify all the critical points of f (x,y) = 2x – 9y – xy + x² + 5y².

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Q: 3. y = Vĩ,0< xs1

A: Apply formula for surface of revolution

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Q: Use the Divergence Theorem to evaluate N ds and find the outward flux of F through the surface of…

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Q: 2a The following diagram shows a triangle ABC. diagram not to scale Sin B Sin a 10 15 10 15 AC = 15…

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Q: Find the cost function if the marginal cost function is given by C'(x)=x 1/2 + 5 and 9 units cost…

A: The marginal cost function is given by,   C'x=x12+5

Q: A. For the following power series determine the interval and radius of n+1 convergence.a (x - 2)"…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 2. Transform the polar equation into a Cartesian equation. 4 r = 4 + sin 0

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Q: A company that produces cell phones has a cost function of C = 4x2 – 56x + 8972, where C is the cost…

A: Given query is to find the number of unit to minimize the cost.

Q: FIND THE GIVEN DIFFERENTIAL EQUATION Exact Equation ( 2% ty cos x) dx + sın x dy = dy = 0

A: The given differential equation,      2x+y cosxdx+sinx dy=0

Q: Evaluate the integral COS nx dx

A: To solve the integral we use integral by parts formula. From integral by parts formula we get: ∫uv…

Q: Evaluate the integral (Trigonometric Substitution) x*dx J (x² + 4)² 2

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Q: 5. Determine the values of x for which the function is continuous. 3r +1 e. f(x)= /x – 3 2- 8 4x d.…

A: The function √(x-a) is continuous iff x&gt;=a The function 1/(x-a) is continuous iff x≠a

Q: Find the critical numbers of the function f(x) : 6x – 15a* + 20x – 1 and classify them. Round your…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: 3 a. f(x) = V3x³ – 2 - b. y = (vx + 1)(x² – x) 2x5-3 c. f (x) coS x

A: a) fx=3x3-23b) y=x+1x2-xc) fx=2x5-3cosx Note:   Multiple parts are given, we are answer only three…

Q: 2. [Growth of a tumor] When the radius of a spherical tumor is 6 mm, it is growing at a rate of 0.1…

A: To determine how fast the volume is changing.

Q: Evaluate the integral -2x + 4 dx J (x² + 1)(x – 1) -

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Q: 1. Lets say Q(x) = 5x + 2 P(x) = 3x2 - 5x +1 Find (a) Q (-3) (b) P(5) (c) 5P(x) – 20(x) (d)…

A: Let's find.

Q: Use the quotient rule to find the derivative of 3 sin(2) – 10 925 – 9 You do not need to expand out…

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Q: onsider the following curve. y = x, 0sx<5 Set up an integral in terms of x that can be used to find…

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Q: A company estimates that it can sell 2,000 units each month of its product if it prices each unit at…

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Q: Find the arc length of the graph of r(t) = ev2ti + e-V2tj + 2tk, 0<t< v2 In 4 NOTE: Enter the exact…

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Q: 4. An earth satellite moves in a path that can be described by x2 72.5 = 1 71.5 where x and y are in…

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Q: (b) Determine the values of a and b that make f(x) continuous for all real x. x² – 4 x- 2 f(x) =…

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Q: If f(x) = f (x) = = COS 7 tan z, then f'(5) =

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Q: 8 sin z 6 sin z + 4 cos a Let f(x) = Then f (2) = The equation of the tangent line to y = f(x) at a…

A: Given: f(x)=8sin x6 sin x+4 cos x f'(x)=(6sin x+4cosx)d(8sin x)dx-(8sin x)d(6sin x+4cosx)dx(6sin…

Q: The total cost to produce x units of perfume is C(x) = (7x+7)(7x+6). Find the marginal average cost…

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Q: 4. Determine the resultant of each combination of vectors. a. 25 km/h north and 81 km/h east b. 12 N…

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Q: ||r'(t) × r"(t)|| Use the formula k(t) to find k(t) ||r(t)||* r(t) = 8 cos(7t)i + 8 sin(7t)j + 3t

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Q: EN tind an equation tor the line tangent to the Lurve at the point defined by the given t, Also find…

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Q: Using a trigonometric substitution, the integral dz becomes: 2+25 (a) 25 (tan 0) (sec 0) de (b) 5 /…

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Q: 0/11 3 Question 1 of 11, Step 1 of 1 Correct Consider the function f(x) = -x' + 5 on the interval…

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Q: Evaluate (x - 4y + z) ds. S: z = 5y, 0 s x s 4, 0 sysx

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Q: (3y² + 10xy²) dx + (6xy – 2 + 10x²y) dy = 0 %3D

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Q: Evaluate the integral | 3t³ (t² + 4)5dt

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Q: Short Answer dr = Inr+c. a) True or False? Please explain your answer. b) c) = ? dz d) What does…

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Q: a 0 0 0 0b0 0 11. Using cofactor method, prove that det M = abcd %3D 00c0 0 0 0 d

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Q: FIND THE GIVEN DIFFERENTIAL EQUATION Exact Equation (1+ Iny-품) dx + (중 * In'y) dy = 0 ; y (2) = 1 2y

A: Given; y(2)=1

Q: 5. Determine the values of x for which the function is continuous. x + 5 x² – 5x + 4 3x +1 2x2 – 8x…

A: a. fx=x+5x2-5x+4b. fx=x4-x2c. fx=3x+12x2-8x Note:     Multiple parts are given, we are answer only…

Q: Describe the graph of the equation. r = 19 sin 2t i + 19 cos 2t j O It is a circle of radius 19 in…

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Q: Eind three nocit Pumborg uhece Cum is 100 ond whece produet is mum

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