217-a3-1 limx → 6 Solve x2 –5x-6

Q: dy 2. When does the differential equation Cekt represent exponential growth? exponential dt decay?

A: We need to explain growth and decay.

Q: following functions fo - VE+3 and glo) = Find the formula for eXx) and simplify your answer. Then…

A: For f(x)=x+3 and g(x)=x+42, Our Aim is to find the formula forg∘fx and domain for g∘fx.

Q: For the following function, find its inverse. f(x)= In(6x 2)

A: Given, f(x)=ln(6x-2)

Q: [cos 3x cos 4x dx

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Q: Sece. tano do seco Jsec'o -1 Seco . tanodo feco· Jtario feco. tono do Seco . tomo

A: we have to solve integration.

Q: Let R=[0,1]x[0,1]. хуз dA= 41x2+1 R

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Q: 3 of its radius. 4 Mohamad Salah poured orange juices into a cylindrical red tank whose height f the…

A: Topic:- application of derivatives

Q: Find * L(e2t t2)

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Q: Consider the function f(x) = : x2. (a) Find the intercepts of the graph of f (if any). (b) Find the…

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Q: (b) Solve the following first-order ODE xy'y=2x* +2y*

A: Given that ODE                 xy3y' = 2x4 + 2y4 We can write this equation as   y' =2x4+2y4xy3…

Q: Find the equation of the tangent and the equation of the normal to the curve y = + at the point…

A: Our Aim is to find the equation of the tangent and the equation of the normalto the curve y=x+1x…

Q: 3. Find the general form of the equation of the plane containing the point Q(0, -2, 10) and the line…

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Q: s-3 F(s) = The inverse Laplace Transform of is O f(1) = sin 3t –3 cos 3t O f() = 3 sin 3t-3 cos 3t…

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Q: Complete the following steps for the given integral and the given value of n. 1/2 cos °x dx; n = 4…

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Q: V 192 °

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Q: 7. Su° (4 + u°)°du

A: The objective of the question is evaluate the indefinite integral.

Q: 6. Solve the differential equation: 2xydx + (x² - 1)dy = 0 А. ху - 1- с B. x'y - y = C С. x y = C D.…

A: We have to solve the equation

Q: 4. The twice-differentiable function f is defined for all real numbers and satisfies the following…

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Q: Q/ For the function shown bellow; find dyldx using Chain rule Y = ( 4 2x + 4)*

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Q: Spot the source/start of the mistakes and say something about it. S2 sec (a) dæ Given: Step 1:…

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Q: Use the Alternating Series Test to determine whether the alternating series converges or diverges.…

A: The given series,       ∑k=1∞(-1)k+1k+6 5k

Q: Consider a ladder sliding down a wall as in the figure. The variable a is the length of the ladder.…

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Q: Given r= (-3,10) and s= (12,-7), find a- r+s b- s-r.

A: Here we have to find the given operation.

Q: 2n + tan (103 n) ) n=1 161 n + e 20 n 2n + tan (103 n) The sequence is n=1 O divergent as its limit…

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Q: Find the dimensions of a rectangle with perimeter 200 ft and whose area is as large as possible. O…

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Q: メ xペー4メt

A: Given: I=∫xx4-4x2+43dx  ....(1)   The Power rule: ∫xndx=xn+1n+1+C

Q: 3 B. Find the eigenvalues. -. 2,= -1 & 1z= 4 B. A,= 2 & 12= 2 C. A,= 4 & 12= 1 E Nona

A: Topic:- matrix algebra

Q: Question 16 Evaluate the definite integral - 6 2x2 + 5 d.x 3 194/6 86V3 5 > Next Question

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Q: , X= sin ztS d= In Find dw 2- Cost

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Q: 422+8z-18 dz 3. S

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Q: 12. In a weighted voting system with four players the winning coalitions are: {P1, P2 }, {P1, P2,…

A: answer is in next step

Q: Evaluate sech(3 – 2y)" dy

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Q: csc² 20 cot 20 de

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Q: Two plate are joint by three rivets of 15 mm diameter. What is the shear stress in the material if…

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Q: 2) Find the volume of the solid under the plane z = 3x +y and above the region determined by y = x'…

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Q: 6. f(t)=-e* sin ( 21 + 7)

A: As per bartleby guidelines we only give first question answers.

Q: L|3x – 6| dx = 30

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Q: The Partial Derivatives for the following: the function below f(x, y) = 2x² – 3y – 4

A: Here is the solution:

Q: V. Determine all the relative minimum and maximum values, and saddle points of the function h…

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Q: 3 - V11 + 4x 2x +1 1. lim

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

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Q: Let i denote the square root of-1. For the two complex numbers z = 3e and w = 6eT find z, w. Give…

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Q: Using integration, derive the Laplace transform of: * L(sinh at)

A: This is a problem related to integration. based on the general formula and concept we will answer…

Q: Assume that the radius r of a sphere is expanding at a rate of 60 cm/min. The volume of a sphere is…

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Q: 2 Find the definite integral fo5 tan(x)dx using strips of width for the trapezium rule correct to…

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Q: (y In a In y) dr + dy = 0 O In In y| + x Inx +x = C O In y = Ce" r* O y = eCe*z* O y = eCe*z ts)

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Q: Find critical points of the function e(2 -3x) O x = 0, x = 1 O x = 1, x = 3 O x = 0, x = 2 O this…

A: Topic = Derivative

Q: е. — 4t3 + 16t +9

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Q: The solutions of the given modulus equation |3x – 7(4x – 2)| = 5 are - 9 19 19 9 19 25 ' 25 9 9 19…

A: The given modulus equation,   3x-74x-2=5

Q: The following series is an alternating serie

A: Since we are given with the multiple number of question and answered according to the guideline