Find the area between the Y=2x-x² and y=-x.

Q: They 2 r 1 10 mber of Red Cars hat was the average number of red cars that they saw each hour? Round…

A: Topic:- Algebra

Q: vergence of the following power series Find the radius of conver E n+ 1x² 41 n=0

A: We have to find the radius of convergence of the power series ∑n=0∞ n+1n2+1 xn.

Q: Find the equation of the tangent line to the curve x + y² = 4 where the slope of the curve is 1.…

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Q: Explain why the function is differentiable at the given point. f(x, y) = 9+ x In(xy-7), (2, 4) xy…

A: The linearization of a function f(x,y) at (x0,y0) isL(x,y)=fx(x0, y0) (x−x0)+fy(x0, y0)…

Q: Consider the following equation f(x)=x²-2x+2 whose roots we seek with an initial guess of x-4. Fixed…

A: We have to find the correct option.

Q: 1. Evaluate a) lim b) lim X-T K1O the limit sinx x²-x2 4 In (1-x) + x + == x² 2 23

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Q: method included 1. U- substitution 2. Trig techniques 3. Trio Substitution 4. Parts, 5. Partial…

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Q: Determine whether the equation is exact. If it is exact, find the solution. 3 2eycosy + = C 2. 3…

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Q: Each of the following trigonometric expressions can be simplified to a numerical value, where cosθ ≠…

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Q: Suppose Fix)= √2x¹+ 6 and the point (2,5) is on the graph y = F(x). Find F.

A: Given problem:- Suppose F'(x) = √2x +6 and the point (2,5) is on the graph y= F(x). Find F.

Q: Use the difference anti-an to show that the given sequence {a} is strictly increasing or strictly…

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Q: 2x² +3 x(x - 1) dx

A: Do partial fraction then integrate

Q: The vectors a and I have lengths 2 and 1 respectively. The vectors à + 56 and 2a - 36 are…

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Q: 1. Given the function f(x)=2-4x+ +$. Please find the intervals of increase or decrease, absolute…

A: Given problem:-

Q: 2. Find the sum of all rectangles shown in figure below in terms of x and y. X x/2 x/4 y/4 y/2

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Q: 3. Consider the function Prove that f'(0) = 0. f(x) = [2³ -2³ if r EQ if x # Q.

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Q: Let f and g be continuous functions such that: [Fox f(x) = 3 And So, determine the value of: [2f(x)…

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Q: Consider the region bounded by y = ex+1, y = 1, and y-axis. 1.5 0.5 -1.5 -0.5 0 Which of the…

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Q: 1. What is the appropriate dot product technique for both Cartesian and Geometric vectors?

A: Given

Q: Which of the following equations is(are) true? 1 S xdx lim = ( Σ 2+ =1 1 I xdx = - 2 + -2 O None of…

A: Above question is solved.

Q: Which of the following is a mathematical sentence? 1.2 is a prime number. II. = 0. I and II Il only…

A: To find out the correct option.

Q: Which x-value is most useful in approximating log₁0 88? 0 90 O 100 O 10 02

A: Here, to approximate: log1088

Q: 2. a. ²S²³ Evaluate the following functions. dx ¹ In(1+x) X

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Q: 4. The point (0.422,-0.907) lies at the intersection of the unit circle and the terminal arm of an…

A: As point is (0.422, -0.907), is lying on intersection of the unit circle and a terminal arm of θ,…

Q: 1. what is the basic concept of a vector?

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Q: 1.5+ 1 4 In the figure, is f(x) squeezed by u(x) and 1(x) 2 1. at x = 37 ? 2. at x = 2? IT 14(X)…

A: Concept: Squeeze theorem: Suppose that g(x)≤f(x)≤h(x) for all x close to a but not equal to a.  If…

Q: will have a critical number -1 and a x Find a and b so that the curve y = ax³ + corresponding…

A: Given :f(x) = y=ax3+bx

Q: If there are three functions, such as f(x) = x, g(x) = 2x and h(x) = 3x. Then find the composition…

A: We know, [f∘(g∘h)] (x) =fghx

Q: Question 8 Evaluate: lim-1 (3-22)tan (7). e 3m 01 O None of the choices O e

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Q: A. Determine if p=9i-6j-24k and =(-15,10,40) are parallel, orthogonal or neither. B. Determine the…

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Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

A: We have to find position vector

Q: 4- Given U=[2,2,3] and v=[1,-3, 4], and w = [6, 2, 1 following expressions) luxv| + u.W

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Q: 2) Carbon-14 decays or emits a radioactive particle at a regular and consistent exponential rate and…

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Q: Find the volume of the indicated region. the region that lies under the paraboloid z = x² + y2 and…

A: To find the volume of the given region.

Q: 11. Find the standard form of the equation of the ellipse with: Vertices: (0, 15); Passes through…

A: 11) Given that the vertices 0,±5, which are on the y-axis and passing through the point 4,2  Since…

Q: (2x²-9x-9)dx x³ - 9x

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Q: If z = 9x² + y² and (x, y) changes from (1, 3) to (1.05, 3.1), compare the values of Az and dz. dz =…

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Q: -) Consider the sequence 1, - Determine tg- 128 2187 64 b) 79 33-80 27' 128 2187 64 79

A: Above question is solved.

Q: Factor the difference an+1-an to show that the given sequence {a} is strictly increasing or strictly…

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Q: 9. fif broken into partial fractions falls under a. distinct, linear factors b. repeated linear,…

A: You must have idea about basic algebra and partial fraction decomposition to under this better.

Q: .4 Determine the value of A, VAT for the white loaf of bread, and B, price excluding VAT for…

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Q: Determine the absolute extrema of the given function on the specified interval. Show your solution…

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Q: Find the area enclosed by the given curves. 1 Find the area of the region in the first quadrant…

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Q: Find the inflection point of the following function, if any: y = x(x - 5)¹/5

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Q: An angle co-terminal to 19 6 11m 6 is

A: Given query is to find coterminal angle.

Q: 5- Determine the value for x such that the points A(-1,3,4),B(-2,3,-1), and c(-5,6,x) all line on a…

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Q: Point T(√3/2, 1/2) is the point of intersection of the unit circle and the terminal arm of angle…

A: This question can be solved using the concept of polar coordinates.

Q: Which of the following definite integrals gives the length of the arc y - 1 + 16x-dy 0 16y – 15 이 0…

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Q: 5. Find Oz дz дх and if x - z = arctan(yz) defines z implicitly as a function of x and y. ду

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Q: 41. Two straight roads diverge from an intersection at an angle of 60°. Two cars leave the…

A: Above question is solved.