.. Find the constants a and b, such that the function is continuous on the entire number li 2, x≤ -1 f(x) = = {ax + b₁ +b, 1

Q: Simplify [cos 20-i sin2018[cos 30+ i sin301² [cos 40+ i sin40 1³ [cos 20-i sin2015 using De Moivre's…

A: This question can be solved using the De Moivre's theorem which says eix=cosx+isinx

Q: 2. Below is the graph of f '(x), the derivative of f(x), and has x-intercepts at x = -3, x = 1, and…

A: Solved below as per the definition of given terms.

Q: Find the sum of the following geometric series: 3 Σ an=64n

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Q: S fr² cos(2x) dx mukaans

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Q: Question The tortoise versus the hare: The speed of the hare is given by the function H(t) = sin(t)…

A: We need to find area.

Q: -1 Suppose y = sin ¹x. Then y arcsin 1 Oy= sin a Or = siny Or=

A: Given that:- y= sin--1x. Then  Topic:- inverse trignometry

Q: 3. Consider the initial value problem (IVP): ty' — y = t²e-t, y(1) = −1. (a) Use integrating factor…

A: We will use integrating factor method to solve this.

Q: A random variable, z, has p.d.f. f (z) = e ², 0 =< Z < 1. Calculate the expected value of z. 1 O a.…

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Q: Show that the curve  x = 3 cos t, y = 4 sin t cos t  has two tangents at (0, 0) and find their…

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Q: 12×46

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Q: Rewrite the differential equation as. dy y(x+2)-(x+2) dx y(x-3)+(x-3) = (x+2)(y-1) (x-3)(y+1) dx (1)…

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Q: Find the domain of (f- g)(x). (Enter your answer using interval notation.) Find (fg)(x). Find the…

A: As per bartleby guidelines we only give first three question answers. Please repost for other parts.…

Q: The means of 6, 6, 6, 6, 6, 6 is 6? O a. False O b. True

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Q: Identify the special angles above. Give your answers in degrees in the range [0,360). A: B: C: D: E:…

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Q: Q4:B/Simplify [cos 20-i sin20][cos 30+ i sin301² [cos 40+ i sin40 1³[cos 20-i sin2015 using De…

A: The given expression,      cos 2θ-isin 2θ8cos 3θ+isin 3θ2cos 4θ+isin 4θ3cos 2θ-isin 2θ5 De Moivre's…

Q: 5. An observer on a cliff wishes to determine the height of the cliff h. He notices two boats on the…

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Q: Find the domain of the function. (Enter your answer using interval notation.)

A: Topic:- function          Definition:-   the domain of a function is the set of input values for f,…

Q: If Sin xy² = 4x − 3y, find - dy_4-y²cosxy2 dx 2xycosxy2+3 dy dx Option 1 O

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Q: 3. The graph of y = f'(x), the derivative of f(x), is shown below. List the intervals where the…

A: Graph of the function y=f'(x) is given we have to find the intervals at which fx is concave up.

Q: show that the mapping w = (1 − j)z, where  w = u + jv and z = x + jy, maps the region y > 1  in the…

A: Given data:- The given equation, z=x+ jy  and  w=(1- j)z

Q: 3. Find y' for y= cos(sin² x) 4. If x=y√/1-y², find y dx

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Q: Let lim f(x) = 19 and lim g(x)= 16. Use the limit rules to find the following limit. X-9 X-9 lim…

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Q: The means of 6, 6, 6, 6, 6, 6 is 6? O a. O False b. True

A: Write the formula for mean of a data set. Mean =The sum of elements in the data setThe count or…

Q: Find the taylor series of the given function: 2x Y = e²x @x, = 3

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Q: Determine whether the curve is the graph of a function of x. O Yes, it is a function. No, it is not…

A: Topic:- function

Q: Find the derivative. g(t) = 7/ square root t

A: We have to find the derivative of the function  gt=7t.

Q: 6 - 7- E= {x|x F = {x|x is G = {X/X {시 the whose name is Country American Continent. is the one of…

A: Using set theory concept.

Q: Q3. Choose three of the following: n i. Find limn→∞ (1+¹). ii. Find the domain and rang of y =…

A: In this question we have to find the following part of question 3.   NOTE: As per our policy we can…

Q: 1. The figure below shows the graph of f', the derivative of the function f, on the closed interval…

A: Given

Q: The following graph is the result of applying a sequence of transformations to the graph of one of…

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Q: Make a table of values for the equation. y = 9- |x| X -4 -2 2 4 у Sketch a graph of the equation.

A: To make a table of values for the equation. y=9-x   x y -4   -2   0   2   4   To…

Q: In how many ways can we select 6 people out of 12, of which a particular person is not included? O…

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Q: Solve 273 (Q)dx if Q=0.85x² + 6x + 12 298

A: Given :∫298273QdxQ=0.85x2+6x+12

Q: A car travels along a straight road for 30 seconds starting at time t = 0. Its acceleration in…

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph, the…

Q: Find all minors and cofactors of the matrix. -1 2 3 6 45 3-1 2 (a) Find all minors of the matrix M…

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Q: 1) GIVEN: FID: X, 9, X 9 3

A: Disclaimer:  “Since you have asked multiple question, we will solve the first question for you. If…

Q: If y = arctan (4x² + 4x + 5), dy dx

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Q: Explain whywe can't calculate everylimit lim f (x), when x approaches c just by evaluating f(x) at =…

A: Lets take a graph for refrence to understand why we can't calculate limit every where  f(x) =11-x

Q: Question Consider the region, R, bounded on the left by the line g(x) = 4x + 4, on the right by the…

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Q: Find the domain and range of the function. (Enter your answers using interval notation.)…

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Q: The random variables A and B have variances 0.3 and 0.4 respectively. Let T= 5A-2B. The variance of…

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Q: B (7/12, -√2) D(3cos 8, 2sin ) are four points, then find the maximum area of quadrilateral ABCD,…

A: We have to find the maximum area of quadrilateral.

Q: AT&T X nput 7:55 PM 26% O < -4 < left bracketing bar2x + 2right brack

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Q: 6. (Modelling question.) The picture below shows the top view of part of a city layout. A utilities…

A: Let C be the point that is x meters away from A along the main street and D be the point that is 100…

Q: O Find the result of the following: 1. (3-4)³=? (Put your result in polar form) 2. 0.602×[(9/2) =?…

A: Note as per guidelines we support only 3 subpart of the questions.kindly repost next question in…

Q: Given a function f(x) continuous xeR such that lim f(x)+log(1-1)-log(f(x)) = 0, then f(0) is <

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Q: 1. Determine (i) the order of each differential equation and (ii) whether they are linear or…

A: To determine the order and type of given differential equations.

Q: What is the area of the triangle? (-6,1) (-3,-5) (-1.1) square units

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Q: Find the equation of tangent for curve y = x3 - 2x + at x=-1 5x - 3y + 11 = 0 3x - 5y + 11 = 0 5x -…

A: This is a problem related to tangent line equation. Please follow the procedure given below.

Q: Step 4 now find the time when v=0 v=0 t² -€/ - 2 t (10-²) 10t - 10 here t=0 is the starting point so…

A: Solve the following