True or False: If fa (a, b) = 0 and fy (a, b) = 0, then f must have a local maximum or minimum at (a, b). O True False

Q: 8. Determine the dot product of u = [5,-3,1] and v = [2.–2,

A: The vectors are given as u→=[5,-3,1]v→=[2,-2,3].

Q: 1. f(x)=-0.2(x-1)(x+3)(x-4)² a. What is the degree of the polynomial f(x) and what is the leading…

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Q: The partial fraction decomposition of where f(x) = -6x + 66 12x25x28 can be written in the form of…

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Q: Suppose that a vending machine service company models its income by assuming that money flows…

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Q: The height​ (feet) of a ball launched in the air t seconds after it is launched is given​ by:…

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Q: f(x) = (-8x²9)³(-9x²-4)-12

A: we will find the required.

Q: 37. dx dt dy dt dx dy +2 dt dt = 2x + 2y + 1 || y + 3

A: To solve differential equation.

Q: 6. Find the area of the region in the first quadrant which is bounded by y = 3x -8 and y=4-x a) 20/3…

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Q: , 4, 2,5.... 글 |||| Se 56 m " C U

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Q: Q17 The sum of the arithmetic series: 8, 20, 32, 44,.. when n = 10 is equal to Q18 Fill in the Blank…

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

Q: Find the equation for the tangent plane and the normal line at the point Po(2,1,2) on the surface…

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Q: nd the equation of the tangent line to the graph of y(x) = 4(x - 1)³ at x = 2. uation of the tangent…

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Q: In Exercises 1-4, compute the Laplace transform of the given function from the defini- tion.

A: By definition

Q: solution not complete, can you upload it again

A: see below the answer required area is in mention as yellow color

Q: Find the equation for (a) the tangent plane and (b) the normal line at the point Po(+1+116) on the…

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Q: Find all the second-order partial derivatives of the following function. h(x,y) = 8xe + 6y + 1 2²h…

A: I have done solution step by step...go through the solution

Q: 8. Select the inverse of f(x) = ½¼½ (2)* + 1. [ƒ¹(x) = log₂ (2x + 2) |_ƒ^¹ (x) = log₂ (1/x -…

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Q: Let y = (x + sin(x))³. Find g(x) and f(a) so that y = (fog)(x), and compute the derivative using the…

A: Here f(x)= x3 g(x)= x+sinx

Q: Ana and Beverly, produce the same product on identical machines. Ana receives $25 per hour and…

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Q: Consider the following functions. f(x) = x² + 4 and g(x) = = Step 1 of 2: Find the formula for…

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Q: Find dy/dx in terms of z and y if cos² (3y) + sin² (3y) = y + 15. I

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Q: the answer is incorrect

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Q: An implicit equation for the plane passing through the points (-4, 3, 1), (–5, 7, 3), and (-4, 4,…

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Q: Find an LU factorization of the matrix, with L being a unit lower triangular matrix (i.e., the main…

A:

Q: You deposit $1500 in an account with 3% annual compound interest. Complete the following, assuming…

A: Formula used for the compound interest A = P( 1 + R100 )tGivenP = 1500R = 3% t = ? dAdt = 170

Q: Suppose f(x) = 7* log(x). Find: ƒ'(x) = Note: Enter In(a) In(b) for log, (a).

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Q: Use the given graph of f(x) to answer the following questions. f(x) -2 0x-3 0x-3 c. Find the…

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Q: x*cosh x³-2 dx

A: given integration is I = ∫x4 cos hx5-2 dxthen we have to evaluate it

Q: The linear density of a rod of length 4 m is given by p(x) = 5+15√x measured in kilograms per meter,…

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Q: Write the equation of the line through the given point (a) parallel (b) perpendicular to the given…

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Q: 14. For the function f(x) = 3.x 9 find the following

A: Solution is given below:

Q: Consider the following function. v(x) = -2- |x + 21 2 Step 1 of 4: Determine the more basic function…

A: We can solve the given problem by using the function transformations.

Q: Reduce the equation to the slope-intercept form: -5y + 7 = 0 5x + 3y = 0 x + y = 9

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Q: (a) Scos (lnx) dxe

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Q: Find the domain of each function. (Enter your answer using interval notation.) 36-² (a) (b) - f(x) =…

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Q: of production. 3. One side of a triangle is increasing at a rate of 3 cm/s and a second side is…

A: Let, the one side of the triangle is x and the other side is y, and the θ be theangle between the…

Q: Part 1: If 40 +8f(x) + 3x² (f(x))³ = 0 and f(1) = -2, find f'(1). f'(1) = Part 2: Let f(x) =…

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Q: Q10 Fill in the Blank t₁ = -2.5 (4)n-1 Type in your answer. The first term of the geometric sequence…

A: according to bartleby guide line we do only first part of multiple questions   (10)   tn=-2.5(4)n-1…

Q: Pls do fast and i will give like for sure Solution must be in typed form Which of the following…

A: we need to find out the instantaneous rate of change of function when x=3.

Q: Spencer surveyed five of his friends to find out how many pets they have. His results are shown in…

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Q: Given f(x)=(1)/(4)x^(2) how did we transform from the parent function?

A: Given f( x ) = 14x2

Q: Find the limit of arcsec 5-32² (4) (6-₁-²)) sin(arctan(r)) as x approaches -∞

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Q: Suppose y = √2x + 1, where x and y are functions of t. dx dy dt dt (a) If. = dy = 3 dt dx dt 9, find…

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Q: Effect of Price on Supply of Eggs  Suppose the wholesale price of a certain brand of medium-sized…

A: We can solve the given problem by using the implicit differentiation method.

Q: If f(x) = 4x² + 2x + 9, find f'(1), using the definition of derivative. For this question, you will…

A: f(x)=4x2+2x+9f'(a)=limx→af(x)-f(a)x-a

Q: The limit below represents a derivative ƒ'(a). Find ƒ(x) and a. f(x) = = a = lim h→0 (6 + h)³ – 216…

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Q: Find an equation of the tangent line to the curve at the given point. y = sec(x) − 2 cos(x), P =…

A: Given that , y=secx-2cosx Find an equation of the tangent line to the curve at the given point P.

Q: Calculate cos(u) for the following choices of u(x): u(x) = 6 x², cos(u(x)) = u(x) = x=³, cos(u(x))…

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Q: 1 □ 10. If log; (x) = 17, what is the value of log₁/3(x)? 0 1 17 317 0-17 O 10¹7

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Q: A company produces computers. The demand equation for this computer is given by p(q)=−5q+6000. If…

A: According to question,Given demand equation,p(q)=−5q+6000.