16 12 8 0 2

Q: x≤2 Q3. Find the value of k so that f(x)=(x², k-x², x>2 is continuous at x = 2

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Q: Q:4) Use Green theorem and evaluate the line integral ${Mdx + Ndy} Where M(x,y)=y², N(x,y)=x², C is…

A: See the details solution in below

Q: 2|6x + 4 ≥ 1 OX - 7/12 O-7/12 - 12/7 choose the right answer

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Q: X 1 2 3 1 3 4 Y 2 3 2 5 3 6 The following relationship exist between a dependent and independent…

A: Equation of the given relationship is :y=x2-3x-2.we have to find the values of dependent variable on…

Q: (C): Find representative Fraction scale (R.F) from verbal statement of (6 inch to 1 mile)

A: Given 6 inches to 1 mile

Q: + + 1.3 3.5 5.7 + .. + ……. (2n-1)(2n+1)

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Q: Question 13 If f(x) = √ and g(x) = x¹, what is the derivative of (fog)(x) with respect to x? O 1…

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Q: If F(x) = f(g(x)), where f(−2) = 4, f ′(−2) = 3, f ′(5) = 5, g(5) = −2, and g ′(5) = 4, find F…

A: NOTE: Refresh your page if you can't see any equations. . here we have f(−2) = 4, f ′(−2) = 3, f…

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)…

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Q: X-6 The equations x+y=6 and y 9 8 7 6 5 4 1 -10-9 -8-7 -6 -5 -4 -3 -2-10 -1 -7 -8 -9 -10 Determine…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find an equation for the plane through P(1,4, 4) that contains the line of intersection of the…

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Q: Find the coordinates of a point P on the line and a vector v parallel to the line x = 3 - 5t, y = -1…

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Q: Use Lagrange multipliers z = f(x, y) = x² - xy + y² to find the absolute maximum and minimum values…

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Q: Let f'(x) = ax²+bx+c. Determine the values for a, b, and c so that f(x) has a local maximum at x =…

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Q: A consultant determines that the percentage of people who will have responded to an advertisement…

A: keeping a note ?as per our company guidelines we are supposed to answer ?️only first 3 sub-parts.…

Q: 1. find the derivative 2x² - 6x³ + 5x²-3x + 17 Enter your answer

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Q: Determine the critical numbers for f(x) = (x-a)*(x-b)*. Ox=a, x=b and x=m+n h Ox=-a, x=-b and x=n+m…

A: Since you have asked to solve two sub questions we will solve it.

Q: Initially, there are 250 bacteria and after seven hours, 800 bacteria are observed in the culture.…

A: This is a problem related to differential equation. Based on the growth law we will answer the…

Q: 4. find the derivative 4v².4+ [7v¹.5-3v-2 Enter your answer

A: Given  Let y= (4v^2).4+(7v)^1.5 - 3v -2 y= 16v^2 + (7v)^1.5 -3v -2 Formula: (d(x^n)/dx) = n(x^(n-1))…

Q: Evaluate the fsinz integrais belovo sin² xcsc 2x dx

A: Evaluate the integral

Q: The desert temperature, H, oscillates daily between 41 °F at 4am and 81 °F at 4pm. Write a possible…

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Q: -1 If f(x) = e*, calculate f '(2). ƒ' (2)=-4e² ƒ' (2) = = = = √² ƒ'(2) = = √₂ None of the above O O

A: Given f(x)=e-x-1, we need to calculate f'(2)First we need to find the derivative of…

Q: b. Find the values of dz/8x and dz/dy for the following expression: xe+ ye² + 2 lnx - 2 - 3 ln 2 =…

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Q: Use the graph of f(x) shown below to determine each of the following limits. If any of the limits do…

A: Consider the graph given below :

Q: Use the formula for the binomial series: (1 + x) = 1 + mx + 1 + 2 =1 100 = o obtain the Maclaurin…

A: See the details solution in below

Q: 1. Determine the value of each of the following limits if they exist. 1²-21-8 +¹ -1 X 3a) lim- b)…

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Q: dy If y = x³ cos π, what is ? O 3r² - sin 7 -3x² sin T O 3x² cos T COS O-³ sin + 3x² cсos π

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Q: The logarithmic equation 2 log c = b, where a > 1, expressed in exponential form could be Oa² = bc…

A: Given

Q: Determine the equation of the tangent to y 23.03x+y+13.03=0 23.03x-y-13.03=0 O-23.03x+y+13.03-0 None…

A: Solution ) y = 10x Differentiation with respect to x  dy/dx = (ln10) 10x [ Formula d/dx ax = ln a…

Q: If y = (3 + 2x), what is y"? 00 48(3 + 2)2 © 12(3+2r)? O24(3 + 2)²

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Q: A If A and B are in Golden Ration, then is equal to a. 0.618 b. 0.816 c. 1.608 d. none of these O a…

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Q: 6X-1 4X+1 X+7<6X=1 6 OX<-89/2 (-∞, - 89/2) OX<-89 (∞, -89) OX<-2/89 (-∞, -2/89) OX<∞ (89/2, ∞)…

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Q: Q4:- Find the derivative of the function at Po in the direction of the vector AC. f(x, y, z) = x² +…

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Q: Determine the equation of the tangent to the curve where x=0. y=-1+x Oy=-x+1 Oy=1 O None of the…

A: You have asked multiple questions, we will solve the first question for you and the rest can be…

Q: Write an augmented matrix and use elementary row operations in order to solve the following system…

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Q: Given the function z = f(x,y) = x²y + 2y² + 4xy-2, find the following: a) Find all of its critical…

A: Here, we need to find the critical points.

Q: Q:1) Evaluate the line integral: [[xy'dx+x²ydy] C: [(x, y): x=t₁y=f²,0 ≤t≤1].

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Q: A tank initially contains 50 gal. of fresh water. Brine (water in which a certain number of pounds…

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Q: The equation (x-y)dx + ydy = 0 is homogeneous

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Q: A particle moves along a straight line with equation of motion s = f(t), where s is measured in…

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Q: 1. Evaluate the integrals below. 5x²-x +3 (a) J x³ + x (b) [√v √√√x – 1 dx dx

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Q: Graph the function. g(x)=3x²-1 Plot five points on the graph of the function: one point with x = 0,…

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Q: x f(x) f'(x) x g(x) g'(x) 1 3 4 1 2 6 2 5 2 8 7 3 7 7 3 9 2 4 -1 4 5 -3 Using the tables, evaluate…

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Q: Determine an equation for the tangent to each function at the point with the given x-coordinate. 77…

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Q: Into a 100 - gal tank initially filled with brine containing 50 lb of salt flow 3 gal/min of brine…

A: Into a 100-gal tank initially filled with brine containing 50 lb of salt flow 3 gal/min of brine…

Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x4 - 8x² + 9 (a) Find…

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Q: (1) 3. a) In how many ways can the letters in the word DISCOVER be arranged if there are no…

A: Let's solve.

Q: 2. f(x) = 1 x²-1

A: We have f(x) =1x2-1

Q: Based on the graphs of f(x) and g(x), what must the domain of (f. g)(x) be? 10 8 7 6 5 2 g(x) 1…

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Q: Determine the absolute extrema of the function f(x) = (x-3)e* on the interval -2 ≤x≤1.

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