Whatis the equation of the line that passes through (-3,5) and is parallel to theline 4x - 2y + 2 = 0?

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A: lim     (tanx)(sinx -1) x -->π/2 here we can direct put limit  because we can apply limit

Q: Evaluate S2² (2x + 3e* − ¹) dx a. 12.43 b. 13.45 c. 14.24 d. 15.23 e. NONE OF THE ABOVE

A: Given :∫122x+3ex-4xdx

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A: To evaluate the following definite integrals using the Fundamental Theorem of Calculus.c ∫164t-1t+t3…

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Q: २ -2 el dy ely +2 e. 2

A: To integrate.

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Q: lim x++∞ x² + x e²x + In x

A: To Find: limx→∞x2+xe2x+lnx

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Q: IV. A small business determined that the price-demand and cost functions for producing and selling x…

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Q: approaching

A: Please refer to the image below

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A: Follow the procedure given below.

Q: 2. 0 sec³ x tan x √2+ sec x dx

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Q: 3. Solve the differential equation of order one.  y' = csc x - ycot x STEPS: a. Put the equation…

A: Integrating factor of a differential equation of the form, dy/dx +P(x)y=Q(x) is given by, I.F=…

Q: Question 4 Given a second order differential equation d²x dx 2 + 10x = e²t dt² dt dx where t = 0, x…

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Q: Evaluate the limit using L'Hôpital's Rule. 8x³ lim x-0 sin(x) - x (Use symbols and fractions where…

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Q: Evaluate fsin² 2xdx Show step-by-step solution.

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A: This question is related to rate of change, we will solve it using given information.

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Q: ㅠ [sin(y) sin sin (y) sin² (y) 1+ cos(y) dy KIN

A: We will use substitution method to integrate.

Q: 4. (9% +3³ +2²) dx 5. J 10% dx (10% +1) 6. f2x(ex+1-2²) dx

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Q: A rock thrown vertically upward at a velocity of 24 m/sec reaches a height of s(t) = 24t - 0.8t²…

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Q: 1. a2 = 6 and a6 = 96 are terms of a geometric sequence, find a4.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Evaluate the following integrals. 9x - 5 4. J dx 9x² 18x + 13

A: Given ∫9x-59x2-18x+13dx   Let  9x-5=αddx9x2-18x+13+β i.e.,    9x-5=α18x-18+β…

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Q: 1. Evaluate the following limits x-tanx 1. lim x-sinx x-0 9

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A: Let's solve.

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A: We can answer the answer as below.

Q: While buying a new car, David made a d payment of $1,100 and agreed to make end payments of $230 for…

A: Please refer to the image below

Q: Find the area bounded by y = 2 - x² and y = x a. 9/2 b. 7/2 c. 5/2 d. 3/2 e. NONE OF THE ABOVE A D E

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Q: . Solve the following problem (a) Y'(t) = XY(t) + 1, (b) Y'(t) = \Y(t)+t, Y(0) = 1. Y(0) = 3.

A: In this question, we will solve the given linear first order differential equations.

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Q: Find the general and the particular solution: d²u du = 4(1 + 3v)²; u = -1,and = -2 when v = -1 dv²…

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Q: fsec³ 7x tan5 7x dx 4.

A: Let's solve given integration.

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Q: The following differential equation is a Bernoulli equation: 2 dy = y³ where y = f(t) dt t By making…

A: To convert into linear differential equation.

Q: Daniel saved $260 at the end of every month for 4 years in his bank account that earned 5.60%…

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Q: Use Cartesian coordinates to evaluate y²2 dV D where D is the tetrahedron in the first octant…

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Q: B) Integrate the following Integral: Je²x sin 2x sin x dx

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Q: 3.2.5 Test for exactness then solve. (x3+ xy2 − y)dx + (y3 + x2y − x)dy = 0

A: Given: (x3+xy2-y)dx+(y3+x2y-x)dy=0