Evaluate the indefinite integral. (3-52 (3 - 5z)e-² dz + C

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A: we have given vector v=-5i-3j and w=2i-4jwe need to find the angle between these vectors.

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A: The given sequences are,(a) (b) (c) To check the convergence of the sequence and find its limit.

Q: Find and simplify the functions (f+g)(x) and (f-g)(x). f(x)=x^(2)-7 and g(x)=x^(2)-10

A: We know that the formula(f+g)(x)=f(x)+g(x)

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Q: Outcome 7: Derivatives Find the derivative f'(x), of the function f(x) below. FIRST use the Product…

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Q: K Let f(x)=6x+5 and g(x)=4x-7. Find (f+g)(x), (f-g)(x), (fg)(x), and ¹ (f+g)(x) = (Simplify your…

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Q: For the pair of functions, find the indicated composition. 7 2 -=-=-=5.9(x)= 7x f(x) Find (fog)(x).…

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Q: Along the curve r(t) = t² i +tj-k, 0≤t≤ 1, evaluate each of the following integrals. a. [(x-y+z)dx…

A: The given curve is And we have to evaluate the the integrals A) ,        B) ,      C)

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A: Given that the function is    f(x,y) = 9 - 3x2 - 2y2 Here we have to find the direction in the…

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A: NOTE: Refresh your page if you can't see any equations..The given function is,Where t is the time in…

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Q: For the pair of functions, find the indicated domain. (x)=2x-5, g(x)=√x+7 Find the domain of f + g.…

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A: x(t) = -4.9t² + 9.8t + 5

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Q: For the integral be rewritten as av 1² 20x³ sin (5x + 6) dx, we can choose an appropriate function u…

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Q: Consider the function f(x) = -2x³ + 30x² - 144x + 2.

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Q: "INT" function (alternative name is "Floor" function) returns integer value closest to the Input…

A: INT function or floor function of x is the greatest integer less than or equal to x.

Q: Let f(x, y) = 3xe-, r(t) = (41², t² - 5t). Use the Chain Rule to calculate f (r(t)) at the value t =…

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A: NOTE: Refresh your page if you can't see any equations..The acceleration function is given by,

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Q: Find the work done by the force F = xyi + (y-x)j over the straight line from (-1,0) to (2,3). The…

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Q: Use the divergence theorem to evaluate JS (3x + 5y + z²) ds where S is the sphere x² + y² + z² = 1.

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Q: lim sin(x2-5x) X-5 x²-25

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Q: Find the exact value of cos²() using a suitable power-reducing formula.

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Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z = x4 -…

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Q: Multiple choice. d sin x Part. (a) dx cos x (A) (D) COS X -sin x -cos x sin x (B) sec²x (E) None of…

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Q: What is lim h(x)? x-1 Provide your answer below: h(x) 2sin (x) In (x5)

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