2 The probability that an event will happen is . What is the probability that the event will not happen? 5/8 0 3/8

Q: Solve the given differential equation. All solutions should be found. dy 2xy + y² + 7 dx x² + 2xy…

A: To find the solution of given differential equation in implicit form.

Q: How many outcomes are in the sample space if a coin is flipped three times? 8 9 6

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Q: F(x) = integrate (3t + 2) dt from 2 to x + 2.  Use  first fundamental theorem of calculus to find…

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Q: 1. The following integration can be solved by using the Substitution f 14 dx = ♦ (Choose the correct…

A: use a different techniques to solve this problem.

Q: 12 Give the properties for the equation 9x 2 + 16y 2 - 36x + 96y + 36 = 0 Domain -6 ≤ x ≤ 7 -7 ≤ x…

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Q: Find the genereal solution. NONHOMOGENEOUS EQUATIONS: UNDETERMINED COEFFICIENTS (D2 + 1)y = sinx

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Q: π/4 ²dx (x²+4)5/2 (Use trigonometric substitution)

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Q: A) 48 B) 0 96 D) 32 If f cos42t dt = At - B sin 2t cos 2t + D sin 4t cos 4t + C where A, B, C and D…

A: To value of the value of given integration in terms of given values .

Q: The IBP formula fudv-uv-fvdu can also be written as fudv + [vdu = uv Which of the following…

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Q: 1. f/² sin (1) cos (4) Sir sin (²) dx (Consider initially the first 2 terms)

A:

Q: 1. Evaluate the following limits. L'Hopital's rule is NOT allowed |2x - 1| tan-¹(¹) 2x - 1 . lim…

A: LetL=limx→ 0-2x-1tan-11x2x-12x-1 is negative when x→ 0-.  Therefore 2x-1=-(2x-1)L=limx→…

Q: Find Duf at P. NOTE: Enter the exact answer. Duf= f(x, y) = sin(3x – 4y); P(4,3); - = u 3 i

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Q: Describe the end behavior (long run behavior) of f(x) = 28 As → →→ ∞, f(x)→ ? As I→ ∞, f(x) → ? v

A: This question can be solved using the concept of limits.

Q: Solve the differential equation and simplify (D^3 + D)^2y = 0

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Q: 8 An acceleration function is expressed as a (s, v) = s²-. ' (v+1)³ determine displacement by…

A: a(s, v)=s2-8(v+1)3v(s)=∫0s a(s, v) dv      =∫0s s2-8(v+1)3 dv     =s2v0s -8 (v+1)-3+1-3+10s     =s2s…

Q: Y 4- y = f'(x) 3 -3 -1 (1,0) 2 3 -4 (-3,0) W (0,-0.5) (2,-0.5) (3,-2) -1,-2) -3- (-1,-3) (4, -3) 2 I

A: Observe the graph and answer the question.  Concept:  h'(x) = 0  : h(x) has local maxima Or minima…

Q: Let f(x) = 3x + 6 x + 7 Find: 1) the domain in interval notation Note: Use -00 foroo, oo for oo, U…

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Q: Find exactly T(t) and N(t) for x = e'cost, y = e'sint, z = e' for t = 0. [Choose the correct…

A: Let's find.

Q: VI. Write TRUE if the statement is correct, otherwise write FALSE. There is no need to justify your…

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Q: Evaluate the following limit using L'Hospital's rule. lim (e⁹x x⇒0+ 6x) ( ) +

A: Using LHospital Rule , limit is evaluated.

Q: ://v². dx √1-x² dx √√2. x√x²-1 (ª (¹² - 31/₁) dr (1. 25. 27. 29.

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Q: IV. Do as indicated. 1. Let f(x): = where x = 1. 1 Find the equation of the tangent line to the…

A: Given equation f(x)=11+x2Differentiate…

Q: if any. Find the absolute extremum point (s) of f(x) = el-cos on [-],

A: f(x)=e1-cos xf'(x)=e1-cos x ddx(1-cos x)f'(x)==e1-cos x (sin x)f'(x)=0e1-cos x (sin x)=0e1-cos x ≠0…

Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 3. lim (x-3) tan(9-x²)…

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Q: Determine whether the equation is exact. If it is exact, find the solution. If the differential…

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Q: Integrate the following functions f(x,y) = 3x-2y. R: over the given regions. the circle x² + y²

A: Given function f(x,y)=3x-2y and region R is x2+y2=1

Q: if any. Find the absolute extremum point (s) of f(x) = el-cost on [-, π],

A: Given data÷

Q: Find the laplace transform of ƒ (t) = 3t³ − 2e²t + 2 cos 2t OF (S) = OF (s) = OF (s) = OF (s) = OF…

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Q: Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer…

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Q: If what does the following integral equal? -2 p(u)du = | - 4 3 p(u)du = 4 and p(u)du = 8.3 - 4 3

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Q: Evaluate 7664/7 [²² (2x - y) dx + (x + 3y) dy. C: arc on y = x5/2 from (0, 0) to (4, 32) X

A: We have to evaluate of given integral

Q: Find exactly T(1) and N(t) for x = e'cost, y = e'sint, z = e' for t = 0. [Choose the correct…

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Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 1 + ²/ 1. lim x12x² + x1

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Q: [₁x³√x² + 3dx x-3 2

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Q: Y sinh(1) (use logarithmic differentiation) 3 (sec x)²/2[/cot-¹x]

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Q: 60. (a) dx SI dt 1 + √t (b) de fint di dt

A: We can solve this as follows:

Q: Find the arc length L of the graph of r(t). L = r(t) = 10 cos(t)i + 10 sin(t)j + tk, 0≤t≤ 2π

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Q: Determine whether the equation is exact. If it is exact, find the solution. 3 2exycosy + = C 21² 3…

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Q: a) Find Maclaurin series generated by the following function f(x) = e-3x by Test the following…

A: As per the guidelines I am supposed to do the first question among multiple questions. So I am doing…

Q: Find the limit, if it exists. lim (5+2) Need Help? Read It Master it

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Q: f/² () sin cos (sin (²) dx (Consider initially the first 2 terms)

A: To evaluate: ∫0π2sinx3cos4x3sin2x3dx Let I = ∫0π2sinx3cos4x3sin2x3dx We know that  sinxcosy =…

Q: 1. Evaluate the following limits. L'Hopital's rule is NOT allowed. 4. lim x-∞ 8118 5. lim 1-x+ 2x +…

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Q: * Evaluate. [12 [20x cos(5x² - 1)]dx

A: The given integral is   ∫20xcos5x2-1 dx We solve the integral using proper substitution .

Q: 61. det t sectdt d 62. du Jo Ix/dx 0 px [Hint: Use Definition 5.5.3(b).]

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Q: Exatuate the integral QUS √3x xام واح

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Q: II. Find Do not simplify your answers. 1. log, (2x² + y) + tan(x − ³) = sin−¹(x² − 1) +

A: Given problem:-

Q: Find u v, uu, |v||2, (u v)v, and u. (3v). . u = 8i + j - 3k, v = i - 4j + 3k (a) u. V (b) u. U (c)…

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

Q: II. Find Do not simplify your answers. dr 1. log,(√2x² + y) + tan(x² − z³) = sin¯¹(x² − 1) + −

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Q: Find the volumes for the following solids whose heights are defined by Z(x,y) and bases are the…

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Q: Question 9 Using trigonometric substitution to solve: cos x dx f 3 (4-sin²x)2

A: