Let B={b₁,b₂} be the basis in R2 pictured below. b₂ 0 If the coordinate vectors [11] b₁ a

Q: Find a polynomial Find a polynomial of degree 3 that has no real zeros (or explain why it is…

A: (a).   It is impossible to find a polynomial of degree 3 that has no real zeros.        Because…

Q: A function f(x) has an inflection point at (2,-2). Which of the following could NOT have been the…

A: We know that point of inflection can occur where the second derivative is 0. It is the point at…

Q: 11. Graph of the derivative f'(x) The graph of the derivative f' of a continuous function f is…

A: Consider

Q: The following is known about f(x): Iim     f(x) = 1 x->2 There is a discontinuity at x = 2 Which…

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Q: 25-44 Differentiate. √x 2 + x 36. y =

A: Given query is to find the derivative.

Q: A bacteria culture initially contains 300 cells and grows at a rate proportional to its size. After…

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Q: dy dx An equation of a curve is given by x lny + y = 1. Which one of the following is Select one…

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Q: Prove the identity. (1+sin.x)² cos²x Note that each Statement must be based on a Rule chosen from…

A: CONCEPT USED Pythagorean trigonometric identities in trigonometry sin2x+cos2x=1socos2x=1-sin2x…

Q: 77. f (x, y) = xy and D = = {(x, y)| − 1 ≤ y ≤ 1, y² − 1 ≤ x ≤ √/1 − y² }

A: Explained below

Q: Find the volume of the given solid region in the first octant bounded by the plane 15x + 15y +9z =…

A: See this solution in below.

Q: maximize the revenue, how many dresses should be made and sold each week? ( hint r(x) =p(x). Round…

A: Given query is to find the value do x which maximize the revenue.

Q: Proceed as in Example 3 in Section 6.1 to rewrite the given expression using a single power series…

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Q: QUESTION 5 Given f(x,y) dA, where D is the region bounded by y = 2x² and y = 1 + x². Determine and…

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Q: D Find the derivative of the function. f(x) = (x³-4)(x+7) Upload Choose a File Question 3 پیار

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Q: 7. A wireless carrier offers the following plans. The Family Plan: $90 monthly fee, unlimited talk…

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Q: 3. If f(x, y) = 100(y + 1) represents the population density (number of people per square mile) of a…

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Q: QUESTION 16 A line integral in two dimensions may be written as F(x, y)dw. What does (i) F(x, y),…

A: We need to tell about the line integrals in 2 dimensions. Line integrals appear as one of 2 kinds As…

Q: Consider the equation: |x+1| +5=3x a) Solve to find all potential solutions. b) Verify each…

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Q: 1 2 -x² + 4x + 5 y 12 where x is the horizontal distance in feet from the point at w the ball is…

A: Topic:- algebra

Q: Limits

A: In mathematics, a limit is the value that a function (or sequence) approaches as the input (or…

Q: dx 1.- |x| O a dx lim da + lim ² a +0 x b+0+ .a de dx lim a 0 SLE S L' de lim b→0+ x O lim a-1+ o +…

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Q: Given 3x²-5y³ = 4x² + y² - 7 find dy dx and d² dx² y at the point

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Q: QUESTION 2 In the figure below a = (3,1,0) and b= (2,5,0) X Z B TO If 0 = π, what are both a b and a…

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Q: Given the function f(x) = x³ + 3x². 9x+5 over the interval −7 ≤ x ≤ 2, answer the following…

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Q: An fruit grower knows from previous experience and careful data analysis that if the fruit on a…

A: To find out the maximum revenue.

Q: Evaluate the definite integral. Use a graphing utility to verify your resul f. ²xe-7x² dx

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Q: 3) Find all the solutions to 3(1 − cos 0) = 1- cos² 0.

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Q: so there is no solution on that interval?

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Q: QUESTION A10 (5 The equation of a straight line given y = bx + a, where b is equal to +5. What can…

A: y=bx+a where b = 5   y = 5x + a   here b = 5  is slope of the line.

Q: Question A4 and A5 relate to the following information. In a goodness of fit test, the observed and…

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Q: Evaluate lim x 1 expression. x² In²x - 2x + 1 Identify the indeterminate form of the given

A: Given query is to find the limit of the expression.

Q: 1. Here the the volume of between 0 and z (in meters) is ㅠ - - V(z) = (12z – (z − 1)³ — 1) . 3 The…

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Q: .4 x c) So x²-4 dx

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Q: Find all critical points and then use the first-derivative test to determine local maxima and…

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Q: 8) Prove sin (x+y) sin (x-y) = tan(x)+tan (y) tan(x)-tan (y)

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Q: Convert the equation from polar to Cartesian r²sec² +4rcos-r² tan² = 0 a) b) r = 3 sint cost

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Q: Use the graph at right for questions 4 and 5. It consists of a semicircle and two line segments. 4.…

A: A function f(x) is continuous at x=a iff  limx->af(x)=f(a)

Q: Write an equation for the polynomial graphed below. You can leave the function in factored form.…

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Q: 55-58 Find equations of the tangent line and normal line to the curve at the given point. √√x x + 1'…

A: We want to find equation of tangent line and normal line.

Q: Consider the function f(x)=2x^3+12x^2−30x+7, −5≤x≤2 Find the absolute minimum value of this…

A: Given function f(x)=2x3+12x2−30x+7,We know that, at  critical point x=a ,If f 'x>0 to the left of…

Q: If you copy a document on a machine, you should get a similar copy. Suppose you want to reduce a…

A: If you copy a document on a machine, you should get a similar copy. Suppose you want to reduce a…

Q: Of the two vectors A=i+2j+3k and B=2i+j-5k Determine: a) b) c) Vector component of vector A…

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Q: 2. Casey cut an 8-foot board into three sections. Two of the pieces each have length n feet. Write…

A: We can find the length of the third piece.

Q: 51-54 Find an equation of the tangent line to the curve at the given point. 52. y =√1 + x³, (2, 3)

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Q: If 3x O -2. O 0. O 4. O 2. O -4. 3 [2x y/t then y =

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Q: 4. Martin's family drives 300 km from their home to a family reunion. His cousin Sherry and her…

A: Since both reach the party at the same time so both take same amo

Q: g(x) = 250 + 8x3 + x4 (a) Find the interval of increase. (Enter your answer using interval…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 10. Find the value of $1000 deposited in a bank at 8% interest for 10 years compounded: a) quarterly…

A: Given that , P=$1000r=8%=8100=0.08t=10 years

Q: Solve for the particular solution of the given IVP: Q y^(-3) = 9/5x^(-1) - (49/5)x^(-6) Oy^(-3) =…

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Q: -5 -4 -3 -2 -1 4 3 2 -1 -2 -3 -4 < X < 1 2 3 4 5 The function graphed above is decreasing on the…

A: Here we have to study the graph.