Use the vectors u = (7,7), v = (-9, 6), and w = (7, -1) to find the indicated quantity. (u.v) - (uw)

Q: Consider the function f(x) = −2x² + 4x - 11. f(x) is increasing on the interval (-∞, A] and…

A: Topic= Application of derivative

Q: The functions are all solutions of equation: C = с y = x² + € / xy + 2y: = 4x², (x > 0). Find the…

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Q: r Given z(x, y) = ln (2x + y²), a(r, t) = and y(r, t) = √r + t. t Find Əz Ət дz - Ət = Evaluate…

A: Givenz(x,y)=ln(2x+y2)x(r,t)=rty(r,t)=r+t   We are required to find:∂z∂t and ∂z∂tat r=10 and t=-1

Q: Evaluate ff(3xy)dA, where R is the region bounded by y = 2x and y = x². R

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Q: -4 -3 -2 A -67 -134 -201 -268 2 3 4 5 6 7 -335 -402 -469 -536 -603 -670+ For the above quartic…

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Q: Find the location of the absolute extrema of f(x) Absolute maximum at x= Absolute minimum at x = -…

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Q: Evaluate the definite integral by expressing it in terms of u and evaluating the resulting integral…

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Q: At what points is the function y= cos X 6x + 12 continuous? Describe the set of x-values where the…

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Q: Consider the following. u = (2,−1,0) v = (-2, 7, 0) Find u x v. Determine if u x v is orthogonal to…

A: Given vectors: u=<2,-1,0> v=<-2,7,0>   The first vector can be written as, u=2i-1j+30…

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

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Q: Given that s(x)=x3+2x+2, find (s−1)′(2) using the Inverse Function Theorem. Note that s(0)=2. (Do…

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Q: For the function h(x,y) = 3x + y xy-6 əh find and ax dh ду

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Q: Find u and v if u+6v = 6i- k and 3u-v=i+j+ k. NOTE: Enter the exact answers in terms of i, j and k.…

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Q: Make a table of values that shows the function values of f(x)=x²-1 together with those of g(x)=3*…

A: f(x)=x2-1g(x)=3x

Q: The total cost (in hundreds of dollars) to produce x units of perfume is C(x)= 4x-1 8x + 5 (a) Find…

A: Average cost is ratio of total cost and number of units and marginal average cost is derivative of…

Q: (b) Indicate whether the first function of each of the following pairs has a smaller, same or larger…

A: (i) n(3n+7) = 1021n2          Because  3n2 +7n = 1021n2  , here, first function and second function…

Q: 4 M t 1 C- ts- 2- 1- o 14 T . E- T о O f(x)=-=(x-2)²-2

A: Given query is to find the graph of the function.

Q: Write a mathematical model for each of the following statements. Use k as the constant of variation.…

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Q: Find the area of the surface S, where S is the surface given by r(u, v) = (u cos v)i + (u sin v)j +…

A: Given Surface equation:- r→u,v=ucosvi→+usinvj→+uk→

Q: Consider the equation x² + y³ + zª − 8xyz = z². Find z point (1,1,1). at the

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Q: Let F(x, y, z) = (x², 2xy + e³², 3ye³z). Find div F(1,2,0) and curl F(0, 1, 1).

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Q: Find a function f: R → R that is continuous at exactly one point.

A: We will find the required.

Q: Use the derivative of the function shown below to determine the open intervals in which the function…

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Q: List the first 3 terms of the sequence starting from n=1: n+1 − 1)" . 2n

A: an=(-1)n.n+12nfor first term put n=1

Q: Which of the following properties describe the sequence {} O O O Not bounded and not monotonic…

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Q: Could a step by step solution be provided with this question? Many thanks.

A: We will find the required.

Q: 3. Find the intersection of ₁ and ₂: ₁2+ 4y-32= -9 ₂: 4r +9y+2z=-1

A: Given planes equations:- π1: x+4y-3z=-9π2: 4x+9y+2z=-1

Q: 29. If A is an n x n matrix and the equation Ax=b has more than one solution for some b, then the…

A: Solution: 29) If the equation Ax = b has more than one solution for some b, then the columns of…

Q: sides of the box costs 20¢/ft2. Find the dimensions of the least expensive box that can be…

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Q: Which of the following graphs represent the region whose area is denoted by the integral: 3 (2 sec…

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Q: Using the Inverse Function Theorem, what is (h−1)′(−8) given that h(x)=−3x+7/2x+4? Note that…

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Q: Give the derivative formula for the function. g(x) = 6x2/3 − x−1/3

A: To find the derivative

Q: Use the piecewise defined function below to answer the questions. 2 x 0 f(x) = √x³. 5 1/x

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Q: The region in the first quadrant between the x-axis and y = x² from x = 0 to x = 4 is rotated about…

A: The answer is in step 2.

Q: The slope of the tangent line to the parabola y = 3x² + 2x + 5 at the point (1, 10) is: The equation…

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Q: Calculate the integral, if it converges. If it diverges, enter diverges for So e dx = your answer.

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Q: Evaluate the integral using s integration by parts (3 (r³ +9r² + 1)e³r dr

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Q: The radius of a sphere was measured and found to be 8.0 cm with a possible error in measurement of…

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Q: At what points (x,y,z) in space are the functions continuous? a. h(x,y,z)= In (3z-2x³-2y²-2) b.…

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Q: integration by parts [( (x³ + 3x)e³x dx

A: Given :∫x3+3xe5xdx

Q: The profit (in dollars) from the sale of x lawn mowers is P(x) = 30x -0.03x² - 750. (A) Find the…

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Q: 6 sketch region bounded by the graphs of the functions and find the area of the region.

A: Here we have to find the area.

Q: Find the component form of the vector v in 2-space that has the length - ||v||=10 and makes the…

A: To Find : Component form of the vector v in 2-Space that has the length ||v||=18 and makes the angle…

Q: The following functions are inverses of each other. f(x) = 3x - 7 and g(x) = x+3

A: given function f(x)=3x-7 and g(x)=x+73

Q: 15. Consider a box with dimensions 3 cm x 5 cm x 11 cm. If all of its dimensions are increased by x…

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Q: Set up an integral for finding the Laplace transform of the following function: f(t) = { 1 ²+5₂ t 5,…

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Q: Find f-1 (x) for f (x) = x2-9, x>0 оо o O f-1¹(x) = -x² +9 O f-¹(x)=√x + 9 O O f-1 (x) = 1 x² +9…

A: According to question,Given Function,fx = x2-9

Q: Use the derivative of the function shown below to determine the open intervals in which the function…

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Q: Set up the working equation in finding the area of the plane region bounded by y = -x² and x = -y²…

A: To set up the working equation in finding the area of the plane region  bounded by y=-12x2 and…

Q: Find the area enclosed by the curve x = t² - 2t y = √t and the Y axis.

A: Eliminate the parameter t and draw the graph then find the definite integration to get the area.