actorise the polynomial 2x3 – 3ix² + 2x – 3i. Show all working.

Q: Find all exact solutions on [0, 2?). (Enter your answers as a comma-separated list.) 2 tan2(t) =…

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Q: Solve the following problems, Write your solutions and answers in a sheet of paper. 1. A crcular…

A: Area of circle A=πr2a)r=32 cmPool area =π r2                 =π(322)                 =1024π  cm2The…

Q: x 4 Determine the constants a and b so that f is continuous on R.

A: This question can be solved using the concept of continuity of a function at a given point.

Q: Consider the following graph of an ellipse. y. 10 15 10 -5 10 15 -5 10 -15 -20 Find an equation for…

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Q: Write the radius of the circle x 2 + y 2 = 5 25 √5 5

A: General equation of circle is given by  (x-h)2+(y-k)2=r2  Where (h,k) is the circle and r is the…

Q: Find the consumers' surplus at a price level of p= $160 for the price-demand equation below. p =…

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Q: Find the standard equation of the circle whose center is at (2, 2) and that passes through the point…

A: Given: Center=(2,2) Passes through the point (5,7)

Q: 1. Let f(r, y) Find: I+y+1 (a) f(2, 1) (b) f(1,2) (c) f(a, a) (d) f(y+1,y)

A: Let fx,y=x-yx+y+1. Finda f2,1b f1,2c fa,ad fy+1,y

Q: Determine whether L'Hospital's Rule applies to the limit below, then evaluate the limit 33 – 2x +5…

A: Given query is to find the limit.

Q: solve D.E (2+3) doe – 2aydy = 0

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Q: Find an equation of the plane. The plane through the point (7, 8, 1) and with normal vector 3i +j -…

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Q: x2 - 5x + 6 A and X-6 Bx+C (a) The given integrand can be split into factors- x+1 (b) The given…

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Q: x-1/2 d) -dz e) 5e5x 2x1/2 x-5/2 dx x-3/2 e5x f)

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Q: Howat Find the akeas fax the fallewing regions Area enclosed by the diagram to V= Sin 3o

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Q: Find the point at which the line intersects the given plane. x = 4 – 4t, y = 5t, z = 1 + t; x + 2y -…

A: We have to find the point at which the line intersects the given plane.

Q: For the following conditions, where "x= number of roses" and "y= number of daisies", determine…

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Q: Suppose dx dy 3(2x-3) and y(1) = 3. What is y(3)? O 12.973 O 13.973 O 15.136 O 15.973

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Q: Consider the hyperbola y? 25 1 144 What are the vertices of this hyperbola? Enter your answer as two…

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Q: QUESTION Determine the length of the missing side of the right triangle below. Round your answer to…

A: The given triangle is:

Q: Question 10 of 10 sin x g(x) Select the correct response 1 Vx cos x 2x CoS x sin x - 1 VT cos x Va…

A: To find out the derivative of the function.

Q: 1. [(20x + 30)(x² + 3x – 5)° dx 2. S 5(x – 4)(Vx² – 8x) dx - 3. S 3x-4(2+ 4x-3)-7 dx

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Q: Determine whether the following statement is true or false. If y = f(u)and u = g(x), then = f'(x) ·…

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Q: FindS( 3x* – 2x³ + 4x² – 5x + 2) dx -

A: Given; I=∫3x4-2x3+4x2-5x+2dx   As we know that; The Sum rule; ∫fx±gxdx=∫fxdx±∫gxdx The Power rule;…

Q: Find all critical points of the function f(x) = x³ – x² – 54x + 10. (Use symbolic notation and…

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Q: 5 3 + s2-8 s2+ 3.

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Q: dy Suppose Ix = (2x – 3) e*²-3r (2x – 3) e**-3x and y(1) = 4. What is y(2)? O -4 O 3 O 4 O 5

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Q: The demand curve for a certain product is given by p(q) = 517- q. The supply curve is given by p(q)…

A: We have to find the consumer surpless.

Q: ry? in the r-direction at the point (2,3) is. 2. The slope of the surface z = slope of this surface…

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Q: Find the are bounded by the curve y=x²-4, the lines y=0 and x=4.

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Q: What is the absolute maximum value of f(z) = z³ – 3z² +4 on the interval (-1, 1]? %3D (A) 4 -2 (C) 0…

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Q: Find fr(x, y) and f,(x, y) given f(r, y) = tan r - cos(r² – y³).

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Q: 5. The equation x² + y? + 2 y +z2 - 2 z = 0 is a sphere. Determine its center and radius.

A: Follow next step

Q: Jen would like to use the first week in May to visit one city, and the first week in June to visit…

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Q: A bacteria culture is growing at a rate of r(t) = 8e0.6t thousand bacteria per hour after t hours.…

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Q: 6n Q4. Determine whether the infinite sequence converges or diverges. /Зп? + 7 n=1 If it converges,…

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Q: Police use the formula: v = /20L to estimate the speed of a car, v, in miles per hour, based on the…

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Q: solve D.E (Z+3j) du – 2xydy = 0

A: Given problem:- (x2+3y2)dx -2xydy=0

Q: which of the following option(s) contain only values of x for which the power series converges? Mark…

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Q: Determine the value of c for which 70 13n lim (1+ T 00

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Q: Recall that csc(x) and cot(x) = sin(x) cos(x) sin(x) d4 cot(x) The ratio dx csc² (x) is a constant…

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Q: 4. Find the exact value of the expression. (a) 10log 36 (b) In e3

A: Explanation of the answer is as follows

Q: Consider the indefinite integral 26 dx: (x7 + 6)"

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Q: |r'(t) × r"(t)|| Use the formula k(t) to find k(t). r(t) = ti+ t°j к()

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

A: Directional derivative

Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

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Q: Use differentiation to find a power series representation for n=1 1 (5+ x)2

A: We have to find the power series expansion of the above equation.

Q: consider the point (-3,-3) in rectangular coordinates.  give 2 different ways to represent the…

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Q: Activities in Inverse Trigonometric Functions dy Find the dx 1. у %3D sin-12х — V1— 4х2 2. у %3D…

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Q: The result of the following double integral is 2 SS T oxy²z dxdzdy = ? -2°0 None of he others O -21…

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Q: Suppose that f is a continuous function such that = -12. Find xp (r)f P(*") dz.

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