Q: Evaluate the definite integral. 1 lis 0 (5* −_4*) dx
A: solution:-∫015x-4xdx=∫01exln5-exln4dx=exln5ln5-exln4ln401=e1ln5ln5-e1ln4ln4-e0ln5ln5-e0ln4ln4=5ln5-4…
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Q: 1. What is the length of the latus rectum of a parabola x² - 8x - 20y + 56 = 0?
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A: Topic = Area
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Q: = Find a and b so that f(x) is continuous if f (x) = O O a = ¹/2 b 11 a = EE O a= b = 60 7 a = - 96…
A: A function if said to be continuous if its graph has no break on its domain of definition.
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Q: If g(x) = 5 +x+2e², find g-¹(7) = 1
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A: Given query is to find indicated partial derivatives.
Q: what is the set of whole numbers, positive integers, negative rational numbers, and natural numbers?
A: To write: The set of whole numbers, positive integers, negative rational numbers, and natural…
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Q: Exercise 1. Let an 2n 3n+ 1 (a) Determine whether (an) is convergent. (b) Determine whether an is…
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A: Topic:- application of derivatives
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Q: Find the transform of the given function by use of a table. f(t)=e-4 4 A F(s) = 5(₁-4) 1 s+4 B F(s)…
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Q: what points on the given curve x = 4t3, y = 5 + 60t − 8t2. does the tangent line have slope 1?…
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Q: In(a) = 2, ln(b) = 3, and ln(c) = 5, evaluate the following: (a) In () = (b) In √b¹c²a-2 =
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Q: e Fundamental Theorem of Calculus Part II to find the derivatives of foll (2) = √²* √√₁ + 1³ dt
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Q: S√8x³ +36x² +54x+27 dx
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Q: Find the derivative y'(x) implicitly for the equation y' (x)= 4-2y 4x +3 y 2x + 1³.
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Q: K Suppose that T is to be found from the formula T=x (eY+ ey), where x and y are found to be 5 and…
A: Concept: Formulas used (f·g)'=f'g+fg'eln(a)=addxex=ex
Q: limx→5 x²+2x-35 x-5
A: We need to find limx→5x2+2x-35x-5.
Q: The area of the region bounded by the two curves y = x² and y = 81 is. Square Units
A: Topic = Area
Q: Given f(x, y) = ry - 6zy. Compute: 8²f dz² 8²f dy²
A: Topic = Derivative
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Q: The figure shows the graph of a function. At x = 0 is the given function differentiable, and/ or…
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A: I am attaching image so that you understand each and every step.
Q: 2. Given r(t) = (2, e³t-3, 6t+2) with r(1) = (2, 1, 7) and r'(1) = (2,0, 5), find r(t).
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Q: For a small farm, the cost in dollars to produce a containers of ice cream is C(x) = 0.8x + 18. The…
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Q: Express the following as a single logarithm. In(13+x³) + ln x - ln (cosx) = |
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Can you solve this please with the work written out please?
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