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Q: the bot test to determine it the use tollowing series converges or diverges

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Q: Determinant of n x n Matrices. Solve for the determinant of the following matrices using (a)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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

A: Given :y=sinh-1sec2x

Q: 10. The total cost, in dollars, of producing x units of a certain product is given by C (x) = 8x +…

A: The total cost, in dollars, of producing x units of a certain product is given byCx=8x+20+x3100and…

Q: Ha Determine Find the limit it Hie' sequence converges it the sequence Ean} converges or diverges an…

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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: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

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Q: Evaluate the integral (Trigonometric Substitution) 1 (n²z6 – z®)ždz

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Q: 1 6. Find dx. V2x2 –8x+2

A: Solving

Q: Suppose z is a function of x and y, and a? – y? = 2"e6y. Solve for dz dx

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Q: Prove the given identity. tan0 + cot0 = csc@sec®

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Q: 4. 2 cos(2x – y) dx – cos(2x – y)dy = 0 - %3D

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Q: 10) s) =-2 -2

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Q: Consider the function f(x) 2x2 + 4x – 7. f(x) has a critical point at a = A. Find the value of A: A…

A: We have to find critical point

Q: Find the equation to the line below. y = [?]x Enter + or - to indicate if your answer is positive or…

A: As we know that; The equation of the line when it passes through the two points x1,y1 &amp; x2,y2.…

Q: 6. At noon, ship A is 150 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing…

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Q: Find the arc length of the graph of r(t) = eviti + e¯V#tj+ 2tk, 0 <ts v2 In 5 NOTE: Enter the ezact…

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Q: (a) Set up, but do not evaluate, a double integral for the area of the surface S with parametric…

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Q: The total cost to produce x handcrafted wagons is C(x)= 80 +3x -x +5x°. Find the marginal cost when…

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Q: 4 x*dx J (x² + 1)²

A: Solution is given below:

Q: Evaluate the integral (Trigonometric Substitution) 1 (b²y6 – y®)Zdy

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Q: The first along term of a sequence with a (ecursion formila e the lemaing terms for- B given beloN.…

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Q: Evaluate the integral (Partial Fraction Decomposition) xdx (x² + 2)(x² + 1)²

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Q: 2. Solve for x the equation sin1 3x - cos1 2x = 6

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Q: Evaluate the integral (2х — 8)dx х2 — 6х + 18

A: We know that integration power rule is - Integration of xn is xn+1/n+1+ C  Here C is integration…

Q: The probability density function for a continuous random variable X has the form, Find the…

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Q: A rectangular garden is to be fenced in next to a garage so that fencing is needed on three sides…

A: topic -application of derivatives

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

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Q: The perimeter of an isosceles triangle is 38 m. Find the length of the sides of the triangle of…

A: Let's find.

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: Evaluate the integral (Trigonometric Substitution) 4 x*dx (x² + 1)²

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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: Evaluate the integral sin3 x + cos? x + 1 dx sin? x (cos² x +1)

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Q: Complete the table (x) $'(x) f'(x) = 12 e3x f(x)

A: Here, to complete the given table.

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

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Q: ...

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

Q: The function of f(x) and it’s first and second derivative are given: A) Domain of f(x) B)y intercept…

A: According to our company's guidelines I can only answer first three subparts of the question since…

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

A: We have to find the flux

Q: Question B1 (a) Find the values of a and b such that ax + b – 2 lim

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

Q: What is the equation of the circle with centre (,0) and radius 2? (2a- 1)2 + y? = 2 4. (2x-1)2 + y?…

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Q: Determine it the fellowing series coaverges or diveryes Give reasons tor Hi nti tirst Show that…

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Q: .4 dx (x² + 9)2

A: To evaluate the following integral.∫x4 dxx2+92

Q: Evaluate the integral (Partial Fraction Decomposition) xdx J (x² + 2)(x² + 1)2

A: ∫xdx(x2+2)(x2+1)2Substitute u=x22→dudx=x→dx=1xdu=12∫1(u+1)(2u+1)2duPerform partial fraction…

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: 12. Given f (x) = x³ – 12x + 1 (a) Find the intervals on which f(x) is increasing or decreasing. (b)…

A: I have appended the formula used in the solution part.

Q: 36 Use substitution to find the indefinite integral dx. (6x - 7) 36 dx = 7 (6x - 7)'

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Q: c) Use the velocity function v(t)= 2e2m/s to compute the distance traveled by an object over the…

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Q: тх sin nx dx

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Q: Use the formula K(t) ||r(t) × r"(t)|| to find x(t). r(t) = 2 cos(4t)i + 2 sin(4t)j + 9tk K(t) =|

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Q: dy/dx - y = xy5 = 0 Ans. 1/y* = -x++ ce 4*

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