Find the cross product u x 7 where u = i +9j +5k i +9j +5k and = (8,- 4, 3). and ü xü =

Q: Let a = (-2, 0, 5) and b = (-3,- 2, 4). Find the angle between the vectors (in degrees).

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Q: 1/9 100% Sets: solved exercises b) B= Exercise 1. Tell whether the following sets are bounded from…

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Q: 2) Find the range: A)y=1-2x-r² Bly= C)y=1-(0.1")

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Q: Use Part 1 of the Fundamental Theorem of Calculus to evaluate the definite integral, •In(5) 0 ex dx.…

A: this is question of calculus here integration is given further calculation is given below

Q: Given that f(x)=√√x²-4 and g(x)=√√√4-2², what is the domain of f(x)+g(x)? OR O [-2,2] O {-2,2} None…

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Q: 1. Let a = i +3-2k and 5= 31-23 +3k! Find the following quantities. (a) 2a +36 (b) b (c) a-b (d) axb

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: This is question of application of integration  Here we have to find the volume of given using…

Q: A farmer selected a variety of a fast-growing vegetable which matures based on the differential…

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Q: Rotations and "Trig on the Plane" Assignment In which quadrant does the terminal side of angle lie?…

A: The angles are given as (1) 570 (2)5550  (3) -300 (4) -4000 (5) 7300 There are four quadrant in…

Q: let f(x) be a function ƒ : [0, 1] → [0, 1], ƒ(x) = −4x(x − 1). Let g(x): (-∞, ∞) → [0, 1] be a…

A: Use graph of function f(x)

Q: Question 7 If f (x) = COS O O V2 2 O T √2 2 0/1/20 0-1/1/2 0-√3 O 2 X, then f'() =

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Q: X√ хр. т-х а- by substitution b. by integral by parts

A: Topic:- application of integration

Q: (9) BOUNS The value(s) of x at which the function f(x) = e²x - 18x has a horizontal tangent line (A)…

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Q: Suppose: f(2)=2 f'(2) = 3 g(2) = 1 g' (2) = 5 Find j' (2) if j (x) = f(x) g(x)*

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Q: For the function f(x) = 3 - (x + 1)³, at the point (-1,3) - === O a. f has a relative maximum. O b.…

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Q: f(x)=64² +3 g(x) = 45+2 h(z) = 16 (1024)

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Q: Evaluate lim h→0 1 2 5 (x+h) ² 2h 1 5x²

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Q: Find the exact arc length of the curve x = Enter the exact answer. = 1/² (1²³ + 2) ²³ f L = + 2)²…

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Q: f(x) Given differentiable functions f(x) = x² e and g(x) = 3 ln x, the function h(x) is defined by h…

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Q: solve Bernaulli's Единстоп ху=хчу 3 dx dy - - 3

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Q: If vectors u and are parallel, which of the following are TRUE? O and must always be drawn on the…

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Q: If PCO) is a point in the unit circle and use the reference angle ۱۱۲ 6 = 6 to find the exact values…

A: Given P( θ ) is the point on the unit circle θ = 11π6

Q: Use the diskor the shell method to find the volume of the solid generated by revolving the region…

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Q: The function f is defined by f (x) = - x+4 have the property that the line tangent to f at (x, y)…

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Q: 3 Foo = Find the Show 3x-1 X-1 Interse function F"(x) of Fcx) the domain and range of the inverse…

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Q: Find the particular solution of the differential equation y′–xey=2ey, given the initial condition,…

A: We can solve the given differential equation by using the variable separable method.

Q: 1. The section of a certain solid contains a semicircle, a rectangle, and a triangle, as shown. The…

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Q: For the function, find the following. f(x) = 7√x5 (a) f'(x) (b) F"(x) (c) F"(x) (d) (4) (x)

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Q: A stone, projected vertically upward with initial velocity 112 ft/sec, moves according to the law s…

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Q: 6. Solve for the volume of the solid after rotating the region bounded by y = x³ and y= 2x² about…

A: Solution: To solve this problem, we will use the formula for the volume of a solid of revolution…

Q: Find the arc length of the graph of the function: A B D E 17 12 15 8 49 12 49 24 15 4 = + 2x2 over…

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Q: Find a and that solve the vector equation: + ß ;) = (³) 3

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Q: If u and 7 point in exactly the opposite direction, then u = − |u||v|. - O True O False

A: In this question, we need to find whether the given statement is true or false.

Q: Find the area of the region that lies inside the circle r = 1 and outside the cardioid r = 1 − cos θ…

A: Consider the given figure :

Q: Find the area of the region bounded by the curve y = x*e^(−x) and the x-axis from x = 0 to x = 4.

A: The region bounded by the function y=xe-x and the x-axis from x=0 to x=4. We have to find the area…

Q: d. Value of b² e. Equation of the ellipse in standard form

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Q: 6 2+x² and y= 1. Region R is the base of a solid. to the x - axis are semi circles with the diameter…

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Q: Each edge of a rectangular tank is increased by 0.5 ft. If originally, the height is 4 ft and the…

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Q: The output of a factory is changing at the rate Q' (t) = 2t³ – 6t² + 10t + 3 units/hour, where t is…

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Q: Σ(1)n-1. - X χ2n-1 2n - 1 n=1 23 25 3 5 +

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Q: F If f(3) = 5 and f'(x) ≤ 2 for 3 ≤ x ≤7, how large Use Mean Value Theorem) can f(7) possible be?…

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Q: (a) Calculate .(()).

A: Please see the below picture for detailed solution.

Q: Which of the following u-substitution should be used in evaluating {(2³_x)[x(x³_2x)]³} dz?

A: Given integration ∫{ ( x3 - x )[ x( x3 - 2x )]3} dx

Q: 11m Click on the blue dot where the coterminal angle lies for 5x TC 180° (-1,0) 210 54 7″ 150° 6 225…

A: We are required to find the blue dot where the coterminal angle lies for 11π4…

Q: 5) Find the following limits: E) lim ¹ x-0-3x D) lim y-0 sin(3y)cot (5y) y cot (4y) 7x3 X-00…

A: we find the limits .

Q: Given a 2-dimensional function T(x, y) = 2y² + sin(x) answer the following a) find the expression…

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Q: Let CE = actual consumer expenditure for a number of units CS = Consumer's Surplus WS = total amount…

A: Given CE = actual consumer expenditure for a number of units

Q: A manufacturer estimates that the marginal cost of producing q units of a certain commodity is C'…

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Q: When the price of a particular commodity is p dollars per unit, consumers demand a hundred units of…

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Q: 8xe4y x + 4y ive your answer in unit vector notation; that is, in terms 2=

A: Topic :- application of derivatives