Convert to a rectangular coon 12. (3,*)

Q: Find the general solution of the differentlal equation. (Use C for the constant of Integration.) dy…

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Q: A sample of 250 grams of radioactive substance decays according to the function A(t) = 250 e 035t…

A: This question is based on substitution.

Q: 2tan 'x -x (-) 2x – sin 'x 02. lim, -1

A: Given limx→02tan-1x-x2x-sin-1xTo evaluate the limit:

Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f (x) = L = -1| 8 Prove that…

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Q: 8 Given a function: f(x) = (х-7)(х-1) Write down the definition that lim f (x) = L 8 OProve that lim…

A: Substitute x= 5 in the function and find the limit

Q: 7) -U(X-2)(x+3)" (5x-1)(7x+ 2) 3х+13 6) 57 In7x+2+c) (ans.: In 5x 2х -3 7)Sー (ans.: -Im,x-1+ Im,x-2-…

A: ∫1ax+b dx =1alnax+b+C Note :As per our guidelines , we can solve first question .Please repost…

Q: rable below shows interva IS where f(x) and f"(X) ure Positive und negati ve. COpy the áxis beluw,…

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Q: Use the specified substitution to find or evaluate the Integral. (Use C for the constant of…

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Q: Consider a triangle ABC like the one below. Suppose that a=65, b=66, and c=25. (The figure is not…

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Q: 1. For the right triangle pictured below, find the exact values of each of the following (no…

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Q: When 20 N of force is applied to a spring of natural length 2 m, the resulting compression is 0.5 m.…

A: Natural length = 2 x1=2-1.5=0.5x2=2-1=1

Q: (24) Evaluate the integral: | Va sin(1 + x/2)dx.

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Q: 1+エ da. -dx. Evaluate the integral:

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Q: Evaluate the limit using techniques from Chapters 2 and 4 and using L'Hoptal's Rule. 3(x-7) Iim x…

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Q: (c) y"e* + ye* =x

A: option C is correct answer . explanation in next step   . please give a like

Q: Question 3. Find f/(x). If f(x) = tan-1x?

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Q: Distinguish the Domain in A Function f of Two Variables from Range in A Function f of Two Variables

A: Suppose the function is: f:ℝ2→ℝ2

Q: 3) lim X -3x2 + 8x – 2 6x2 + 5 A) - B) 0 D) =

A: This question can be solved using the concept of indeterminate form and L Hospital's Rule.

Q: Y Evaluate the following integrals: 1) tan(3x +5) dx evs -1 2) dx 3) [Vx² -x' dx 4) sin(tan 0) sec 0…

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Q: z(u, v) and u = u(x, y, w), v = v(x, y, w), x = r(t), y = y(t), and w = w(t). The Let z = dz as…

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Q: 3. Determine whether the series E-1(-1)" * CoS ) is conditionally

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Q: B. Find the volume of the solid generated when the plane region bounded by 4. y =, x = 1, x = 4, and…

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Q: Supply the missing integrand and the limits of integration -2 x dx dy _dy V4 + x2 I V4+x=dy В -2)dy…

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Q: 9. State domain, range, y-intersection, and the equation of the horizontal asymptote. y=1.5(2*)+ 2…

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Q: 1 lim xcosx Xcos x

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Q: The auxiliary roots of the auxiliary equation associated with a certain HLDE are m=±3, ±3i, + 3i.…

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Q: Solve y' = y3 cos x (Show clear work!)

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Q: 1- cotu dx du (a) cosu. dx du (b) -sinu. dx (c) - csc?u. du du (d) -cscu. cotu dx (e) None of these…

A: Given problem:-

Q: 10) y = e³ In x A) dy In x 3x3 In x dx dy - 4x² , dy D) dx 3x3 x³ dx +1

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Q: if the Flo)==

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Q: даду

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Q: d ) Find the derivative: dx rcos(z) V1 - t2dt

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Q: For each of the following, determine whether the expression is positive; negative; or zero. (You may…

A: As per Bartleby answering guidelines if a questions has multiple subparts then an expert is expected…

Q: Find the differential dy of the glven function. (Use "dx" for dx.) 7 y = 3Vx + dy =

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Q: Find all solutions of the equation in the interval 0, 2n). 3 sin 0+1= 1 Write your answer in radians…

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Q: 8) Evaluate [[dA ,R: 1s quadrant bounded by y = x & x' = y 9. R In 8 Iny 4) e*+y dxdy

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Q: 39.54 divided by 3

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Q: If f(z, y) = e" sin(4y) then: V f( – 1, 1) =

A: Given function is f(x, y) =e4xsin4y.  We have to find ∇f(1, -1 ). The vector differential operator ∇…

Q: XP -2X

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Q: Given the vectors v and u, answer a. through d. below. v= 7i-3k u=i+j+k a. Find the dot product of v…

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Q: An object moves along the polygonal path that connects (0, 0, 0), (1, 0, 0), (1, 1, 0), (1, 1, 1) in…

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Q: Write an equation of the form y=a sin bx or y=a cos bx to describe the graph below.

A: Question- Write an equation of the form y=a sin bx or y= a cos bx.  to describe the graph .

Q: Determine the area of the given region. 2. Region between f(y) = y' and the y - axis from y = 0 to y…

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Q: 4-x 16-x²-y2 Fx*+y° dzdy dx

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Q: Two skaters push a person sitting in a chair along the ice. The forces exerted by the skaters are…

A: We have to find the resultant vector.

Q: 5. Find the radius of convergence and the interval of convergence for E- (x – 2)" n%3D1

A: To find the interval and radius of convergence.

Q: 1-2 For each of the following functions given by power series, find f'(x) and / f(x) dx. Do not find…

A: To differentiate and integrate the given power series.

Q: 7. A(2,–3) and B(5, 1) are two points in R². Determine the following: a) AB b) |AB| c) a unit vector…

A: We can solve this as follows:

Q: Which of the following is a nonhomogeneous linear differential equation with constant coefficients?…

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