Let u = (8,4) and v= (9,4). Express 5u + 3v in the form (a,b). 5u+3v => (Simplify your answers.)

Q: Sketch the graph of the function by first making a table of values. f(x) = 1

A: This question can be solved using the concept of plotting of graphs.

Q: The left, right, Trapezoidal, and Midpoint Rule approximations were used to estimate same number of…

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Q: r(t) = (-2 cos (2t), 3 sin (3t), ln (2t)), then the fr(t)dt is equal to 3 -cos (3t), tln (2t) - t) +…

A: Here we find the correct option,

Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

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Q: Complete detailed solution. What is the derivative of 6 f(x)=(√2-1)(3√x+1)

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Q: The graph of a quadratic function with vertex (2, -1) is shown in the figure below. Find the domain…

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Q: Solve given differential equation. (2y+t)dy+ydt=0

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Q: Find the polar coordinates, 0≤0<2r and r≤0, of the following points given in Cartesian coordinates.…

A: We know that conversion of cartesian co-ordinates to polar co-ordinates, r=x2+y2θ=tan-1(yx)

Q: au limit does not exis 10 hauria natura UnaUna Un aUna -6 aUrauna -10 b) c) hauaOnaUnaUnaUnaUnaUn…

A: According to our guidelines, we can answer only one question or three subparts of a question. Other…

Q: Analyze the continuity of this function. If there are discontinuities, state the type. x² + 2x x≤1…

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Q: Finance. A person wishes to have $27,200 cash for a new car 7 years from now. How much should be…

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Q: Find the Cartesian coordinates of the following points (given in polar coordinates). a. (4,0) b.…

A: Since you have posted question with multiparts questions. As per guidelines we"ll solve only first…

Q: (2 ofy f (x, y) = Find dy 3x²-y + 5x²y² 2 3

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Q: 1. Find the numbers for x where the function below is not continuous. Explain what type of…

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Q: The distance between cities A and B on a map is 12.75 in. The distance from city B to city C, is…

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Q: Determine whether there is a relative maximum, a relative minimum, a saddle point, or insufficient…

A: Here we have to choose the correct option.

Q: Graph the line with slope 3 passing through the point (-2,-2). 4

A: NOTE: Refresh your page if you can't see any equations. . the given slope is  and the given point…

Q: 1. Consider the region bounded by y=cos x, the x-axis, and the y-axis. What is the volume of the…

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Q: To evaluate the integral 3 100+ x² dx, which of the following substitution be used? Select one: Ox=…

A: Topic:- application of integration

Q: 11. Find the linear approximation of f(x) = √√x_ at a = 1. Use the linearization to estimate the…

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Q: 6. If u = given by x = +2, where x+y+z= 1, prove that the stationary value of u is y b a+b+c' a…

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Q: Find the area of the surface cut from the paraboloid x² + y² -z = 0 by the plane z = 6. The surface…

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Q: Evaluate the indefinite integral. Select the correct answer. X 64 64 cos(8x) + 64 cos (8 x) + cos(8…

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Q: The Mosteller formula for approximating the surface area S, in square meters (m²), of a human is…

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Q: Are the partial derivatives and gradients of a function the same, no matter your starting position?

A: Topic:- application of derivatives

Q: The piecewise function f(x) is graphed below. Use geometric formulas to evaluate the following…

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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Q: Find all the zeros of the quadratic function. y=x² - 10x+16 If there is more than one zero, separate…

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Q: Find an equation of the tangent plane to the given surface at the specified point. z = y cos(x - y),…

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Q: of the following answer choices represents the limit definition of the definite inte n sum? he…

A: We are asked to find the which of the following is limit of definition of definite integral below…

Q: For f(x,y) = Inx+y³, find f( e 5,6). f( e 5,6) = [

A: We have to find f( e5 , 6)

Q: lim (x,y)→(0,0) lim (x,y)→(0,0) 7x²+4y 4y 49x²-98xy+49y² 7x-7y

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Q: Question 9 of 10 Consider the piecewise function f(x), where A is a constant: (s) to discont Ta n…

A: for limit to be exists we have the following conditionslimx→2-f(x)=limx→2+f(x)

Q: Find the minimum distance from the point (6, 0, 5) to the plane x - y + z = 3. (Hint: To simplify…

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Q: 5. Find the SET of sequential limits of (x_n) where x_n = sin (n(pi)/4)

A: xn=sin(nπ/4) n=1,2,3,4,5,6,7,8,9,10,11,12.......... x1=sin(π/4)=1/2)

Q: Determine the solution y2(2) of the differential equation, given that it is satisfied by the…

A: Given :x2y''-xy'+y=0

Q: For the next three exercises, determine whether the integral converges or diverges. 1+ sin a S 3 71…

A: Let's solve given integral is converges or diverges.

Q: e integral by making the given substitution. (Remember to use absolute values where appropriate. Use…

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Q: X-7/7x+1 find the concave upward and downward

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Q: saddle point is wrong, please correct

A: The given two variable function gx,y=x2-y2-3x-4y

Q: Find the slope of the curve r = -5+5 cos 0 at the points 0= + Sketch the curve along with the…

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Q: Determine whether the alternating series Σ (- n=1 COMING (-1)+1 8 converges or diverges. Choose the…

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Q: Evaluate the integral. (Assume a b. Remember to use absolute values where appropriate. Use for the…

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Q: Consider the system of differential equations x₁ = 10/3x₁ +4/3x2 x2 = 8/3x₁ +14/3x2 9 where x1 and…

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Q: 4. The hyperbolic trigonometric functions are defined as follows: e² + e² 2 e² - e² 2 cosh z = sinh…

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Q: 1 √1/₂ y+4 y² + y dy felt +2e²t

A: The given integral is a (y+4)/(y2+y).

Q: x² + x + 72

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Q: O Differentiate Y 2 +1 3/2

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Q: (a) Give the definition of line integral of a vector field over a path. (b) Compute the line…

A: Use line integral concept

Q: 6. Find the limit (if it exists) of the sequence (x_n) where x_n = (2+3n-4n^2)/(1-2n+3n^2).

A: We have to find the limit of the sequence.