2)  Solve the differential equation by using integrating factors. (x + 3)y' = 8x + y y(x) =

Q: Evaluate ff xydxdy over the square with corners (0,0), (1,1), (2,0) and (1, –−1) (u + v) (u - v) 2 2…

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Q: If the rate of change of Q is directly proportional to Q, and if Q(0) = 100 and Q(4) = 440, find k,…

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Q: For items 1 to 10, determine 1. y 3x³ + 2x - 5 (A) 9x² + 2 1 √x 1 2√x 2. y=-- (A) 3. y=e-sinz (A)…

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Q: If k(x) 4 cos(x), then k'(x)

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Q: fr. sin ax cos 3x dx

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Q: b. y − y'cosx = y2 (1 – senx)cosx

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Q: Find the derivative of G(x) = √ x³ t.csct dt. O-3x5 csc r³ cot x³ -3x² csc x³ cot x³ Ox³ csc x³…

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Q: Rewrite the integral using substitution: ₁x² cos(x³) dx 125 (cos u) du 25 ²5 (cos u) du 125 (cosu)…

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Q: Find f'(x) and f'(c). Function f'(x)= f'(c) = f(x) sin x x Value of c π 3

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Q: For f(x) = (a) fog 9 x-7 and g(x)= (b) gof find the following composite functions and state the…

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Q: Find the derivative of the transcendental function. y' = y = 6e* x² +8 6(x²–2x+8)ex (x+8)²

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Q: Evaluating 9-x² dx using trigonometric substitution will lead to: A B © (D None of the given choices…

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Q: 7. Use the Root Test to determine if the series converges or diverges. a. b. k=1 W k=1 2k

A: The given series, a) ∑k=1∞k+12kkb) ∑k=1∞kek

Q: Sketch the region enclosed by the given curves. 1 x, y = 4/x, y = 16x, y = 16 y 10 8 y 10+ Find its…

A: This question can be solved using the concept of area bounded by curves.

Q: If [ ½ dx = 1⁄2x + 3, which of the following statements is true? / / / / dx # 1/1/2x + 3 0 / dx = x…

A: We can answer the question as below.

Q: Find the total change of f(x) between x = 1 and x = 4, when 1.25 0.75 0.25 -0.75 df 1 dx x2 =

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Q: Find the area of the shaded region. The image is not to scale. Consider c-16. y = √x Enter the exact…

A: I am attaching image so that you understand each and every step.

Q: Use a double angle identity to simplify the following expression. tan 16° 1- tan² 16°

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Q: f(x) = x4 – 8x2

A: Topic:- calculus

Q: Please find all 0 ≤ 0 ≤ 2π, for which ... (a) tan () = √3 (b) 3 sin²(0)+ 4 = 5 (c) 2 cos(ln(x² + e²)…

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Q: Find the derivative of the transcendental function. h(x) = - 14 sec x X h'(x) = -5x2-14 secx-tanx

A: We need to find the derivative of the given transcendental function.               hx=5x-14secx

Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

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Q: Evaluate the integral: B A None of the given choices O E (3e) 2+1n3 (3e) 3+ sinh2x (3e) 2+ 21n3 3+…

A: Solution is given below:

Q: A volume is described as follows: 1 1. the base is the region bounded by y = 1 - -x² and y = 0 25 2.…

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Q: 12

A: Topic - gradient of a vector

Q: Example 6: Show that a a² 1 b b2 b c c2 Solution: L.H.S a a2 = = - (b - c) (c - a) (a - b) c 1 b b2…

A: Topic = Determinant

Q: 6. Use the Ratio Test to determine if the series converges or diverges. n¹⁰2n n! n=1

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Q: Use an identity to write the expression as a single trigonometric function or as a single number. 2…

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Q: 1. What is the best method to use given a differential equation with f(x) = sec x? Both A. Method of…

A: Note: According to our expert guidelines only first three subparts are to be answered kindly repost…

Q: 18. Prove that A × (BUC) = (A × B) U (A × C).

A: The objective is to solve the above question.

Q: VA Find the equation of the curve that passes through the point (1, 0) and has a slope of O = y = y…

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Q: Use cylindrical coordinates to find the volume of the solid bounded above by z = 3x and below by z =…

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Q: Find the divergence of the vector field. F(x, y, z)= 7x¹i, 7xy7j O divF(x, y, z) = 7x³¡— Ţxy³j…

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Q: Example 3.6.2 Sketch the graph of y = f(x) = (2) Answer: A. The function is not defined at 3, so the…

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Q: Find the second derivative of the function. f(x) = sec x

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Q: O N(t) = 500e0.7489t

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Q: #2. Find a power series representation (centered at a = 0) for the function below ƒ(x) = = 1 1+x5

A: We know that the power series representation (centered at a=0) for the function ft=11+t is given by…

Q: How do you find the 17th derivative of f(x)=2x^15-13x?

A: We can find the 17th derivative as below.

Q: The Grad Committee at a particular high school is made up 5 of students and 4 teachers. At the…

A: No of teacher = 04 No of students = 05 Total Chair = 9

Q: Find the curvature and the radius of curvature at the stated point. ㅠ r(t) = 5 cos(t)i + 11 sin(t)j…

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Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

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Q: Find the curl for the vector field at the given point. F(x, y, z)= 6xyzi+6yj+6zk (6, 7, 6) O…

A: To find the curl for the vector field  at the given point.Fx, y, z=6xyzi+6yj+6zkPoint=6, 7, 6

Q: 13

A: We have to find out conservative or not

Q: "Si" means "if" The function f is defined as follows: Knowing this, calculate: f(x) = (4x³+ln(3x) si…

A: Concept: Integration: Integration is a strategy for combining or joining the parts to get at the…

Q: Given the DE. 3dy + ydx = (1-2x)y4, Rewrite the DE into Linear Form at v O dx-v = 2x+1 dx-v=2x-1…

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Q: Use series to evaluate lim X-0 ex-1 5x

A: limx→ 0ex-15x=15·limx→ 0ex-1xBy L'Hopital Rule,=15·limx→ 0ex1Plug in the value x=0=15·e01=15

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at…

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Q: Solve y(1): dy/dt + x = 1; dx/dt-y + 4e¹ = 0; x(0)=0 and y(0)=0.

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Q: 14

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Q: 23. (주)

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