2dx 2 2 cos x√ 4tanx - tan x S-

Q: 5) An isotope of lead decays according to the function remaining, in grams, after t minutes. a) What…

A:

Q: To test this series for convergence n n=1 √n² +1 8 You could use the Limit Comparison Test,…

A: We will solve this question using limit comparision test.

Q: At which value of x for the function whose graph is shown below differentiable? -4 VO 8 10 12 14…

A: From the given graph, we have to find the points at which the function is differentiable

Q: Q17) Evaluate L (2 e-2t sin4t - 0.5 cos3t): 8 S 8 - a) b) (s+2)2+16 2s2+18 (S-2)2+16 252418 c)…

A: 17) To evaluate: L(2e-2tsin 4t-0.5cos 3t)

Q: Question 4 (a) Solve the following: 4x¹dx (b) Explain with the aid of a sketch how this value can be…

A: we have to find the value of integral ∫-22 4x4  dx

Q: 3. Find the volume of the solid that lies under the paraboloid 5z = x² + y², above the xy-plane, and…

A: To find the volume of the solid that is bounded by given curves.

Q: (a) Solve the following: √4x² dx

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 2 S-2 2 S+2 Option 3 Option 2 O *The Laplace transform of the x(t) is 2e21 1 S - 1 s²+1 Option 1 O…

A: Let's do laplace transform of given function.

Q: 5. Find the vector equation of the line passing through A(4, -3) that is perpendicular to x - 3y + 6…

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Q: Consider the function f(x) 1 1-x²

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Q: 3. Find the derivative D(x *arctan(x)) And the integral 6x dx 9+x

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Q: 7-10 Verify the given linea determine the values of x for accurate to within 0.1. 7. √√/1 + 2x 1 + x

A:

Q: A company produces very unusual CD's for which the variable cost is $ 16 per CD and the fixed costs…

A: Let's solve for cost,revenue and profit function.

Q: quickly

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Q: Hả+b+c = 0, show that ả x b = b xả = xã

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Q: Given ƒ (t) = L-¹ [³+4 f value of k is 3s+1 s³+4s²+s(k−3) if lim f(t) = 1, then the t->∞0 10

A:

Q: 2. The 2 vectors 4â + 3b and â - 2b are perpendicular. Find the angle between â and b if they are…

A: Given :two vectors :4a^+3b^a^-2b^they are perpendicular

Q: The position of a particle in space at time t is r(t) as shown below. Find the particle's velocity…

A: The position of a particle is r(t)=2 lnt+1i+t2j+t22k

Q: Vector a is expressed in magnitude and direction form as a =(√33, 130°).

A:

Q: 6. Find the symmetric equation of the line parallel to ở = (1,4, 6) + t(−2, 4, 7) that intersects…

A: Given problem:- 6. Find the symmetric equation of the line parallel to r = (1,4,6) + t(−2, 4, 7)…

Q: lim-0 OI Oll O III OIV e² - x Not Indeterminate کے

A:

Q: An object is moving with velocity (in ft/sec) v(t) = t² - 2t + 2. At t = 0, the object has a…

A: Topic = Integration

Q: Find the distance from the point (-6,2,-7) to the plane -x + 4y = 2z = 22.

A:

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Point of diminishing return is the point where d2Rdx2=0

Q: a) e b) e-t Q24) The Integrating factor which make (3x2y + 2xy + y³)dx + (x² + y²)dy = 0 exact, 15.…

A: A detailed solution is given below.

Q: 5 n=1 (n-1)! (n + 2)!

A: We can say that if sum of the series is finite then the series is converge.

Q: CD is a parallelogram with vertices A(0, 2, -3), B(2, -1, 4) and C(-3, 1, 2). Find the angl een the…

A: Follow the procedure given below.

Q: c) y(x) = c₂x² + ₂x Q20) The form of a particular solution of y"-4y' - 12y = sin(2t), is: . a) y,…

A: Using inverse operator

Q: ) a) Find the point at which the given lines intersect: b) Find an equation of the plane that…

A:

Q: Solve the following Differential Equations with Laplace Transforms y" - 6y' + 15y = 2 sin(3t), y (0)…

A: Let's solve diffrential equation by using laplace transform.

Q: C. r = a sin²0 3. r= a(1 + cose)

A: Topic:- curves  Note :- as per our guideline if more than three subparts posted than only first…

Q: The profit function of Company ABC for a specific product is given by y = x² - 6x² + 9x and 0≤x≤ 2.…

A:

Q: Prove that the following functions u/v are harmonic; then find the conjugate harmonic function v/ u.…

A:

Q: Determine an equation for normal to the curve y = at x = x = -2.

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Q: Cn = COS * ´π(1+4n)` 2

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Q: If f is continuous and ƒ(5) = 2 and ƒ(4) = 3 then lim ƒ(4x² – 11) = x→2 True False

A:

Q: The acceleration of an object (in m/s²) is given by the function a(t) = 8 sin(t). The initial…

A:

Q: 4x* dx

A: We need to solve the following. So,            ∫-224x4dx=4·∫-22x4dx=4x55-22=4·645=2565

Q: The vector a has a magnitude of 7. Its x component is 2, and its y component is twice its z…

A: Given: The vector 'a' has a magnitude of 7. Its x component is 2, and its y component is twice its z…

Q: Use a linearization to approximate tan(π/100).

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

Q: an+1 Use the ratio to determine if the an +∞ n sequence {zn is strictly 2n + 5Jn=1 increasing or…

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Q: Exercises A write the 1st 4 terms 1 2. 1:4 운 은데linity 2. 을 , I 141

A: Given that the series is

Q: Find the volume of the region of R^3 bounded by the paraboloid z=x^2+y^2 and by the planes…

A: Concept: Let us take D to be a bounded, closed space region. Let a and b represent real numbers,…

Q: Which of the following five series converge, and which diverge? Explain. n+1 (Inn)² 1 4 n². √n n 1+…

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Q: ל 15 18 a = (3₂16) 6= (-2,0,1) → 08 -> 2² = ²²-23 +5k →> oc CẢ OA

A: Given :a→=3,1,6=OA→b→=-2,0,1=OB→c→=i-2j+5k=1,-2,5=OC→

Q: x(t) = Find a plane containing the point (-3,5,-2) and the line y(t) = z(t) = 5 - 3t 8 + 6t 7 + 6t

A:

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

A:

Q: 1) The hyperbolas 6² x ² - a²y² = a) xyy" + x(y²) ²³²- yy²=0 b) xyy" - x (y² 7² - y₁² = c) xyy" - x…

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Q: find the points at which f has a local maximum or a local minimum

A: This question can be solved using the concept of maxima and minima.

Q: + d) y(x) = ce c) y(x) = c₂e²x + c₂ex Q3) Evaluate L (e-2t sin4t): 4 4 5+2 5+2 d) a) 5²+45+20 b)…

A: