Write the system of equations 3x 2y4z = -3 5x + 5y + 4z = 1 - 4x + 5y + 4z = 3 as a matrix equation, that is, rewrite it in the form X = B, AY 2 where A = and B = 00

Q: Find the general solution of the following differential equation. y" + 4y + 8y = 0 NOTE: Use cy and…

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Q: f(x, y) = 75 + 8x+5 Find fx, fxy, and fxyx. 8x³ e-8y

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Q: In(t³ + 1) + t³ + 1 r(t) = 4: then the limit lim r(t) equals 1-0 -i-(4e-²¹-5e²¹)j- - sin³t -k, 13

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Q: Question 1 [ Let 7 f(x, y) =ln(xy)-50x³y Find fx, fxy and fxyx.

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Q: QB3) Verify fxy-fyx for the function f (x, y) = 4x (Iny) + 4y (Inx) + (²²4 2²

A: We have to prove fxy=fyx for the given function.

Q: Find concave upward and concave downward of 6x^2-x^3

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Q: if g(x, y) = yln(x) - x²ln(2y + 1) then 9x (2,0) = 0 Select one: O True O False

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Q: Find where it increasing and decreasing x^5-2x^4+3x^2-5x+

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Q: If then fxx = Select one: True False 2(y² + y) (y - x)³ f(x, y) = x + y² y-x

A: According to question,Given Function,fx, x = x + y2 y-x

Q: r(t) = (−2 cos (2t), 3 sin (3t), In (2t)), then the fr(t)dt is equal to 3 Cos cos 4 where C is a…

A: Given:    rt=-2cos2t,3sin3t,ln2t then  ∫rt dt =∫-2cos2t,3sin3t,ln2tdt…

Q: Find the limit, if it exists, or show that the limit does not exist. x² - 3y² lim (x,y) (0,0) x² +…

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Q: For the limit, sin(x² - y²) x² - y² if we approach along y-axis, we will get 0. Select one: O True O…

A: We know :- If we approach along y axis the x=0

Q: Suppose that the yield (measured in kg/ ha) of an agricultural crop is represented by the function…

A: We need to find rate.

Q: If f(x, y) = 2√/16 - x² - y², then the domain of f is the set D = {(x,y)|x² + y² ≤ 16}. Select one:…

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Q: f(x, y) = ln (2x) In (3y) + x - y - xy - 3, then fyz (2,-) is equal to

A: Given :fx,y=ln2xln3y+x-y-xy-3

Q: 2. Evaluate x² dx (x-1)(x² + 4x + 5)

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Q: If f(x, y) = 9x² - 6y³ - 7 cos(-6xy + 플) then Select one: O True O False fy(л,0) = -42

A: Given function is f(x,y)=9x2-6y3-7cos-6xy+π2. We have to find fy(π,0) that is partial derivative of…

Q: = √ Evaluate 1 /x(1 + √x)² dx.

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Q: 1 -1 tan X x² +1 -dx

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Q: Question 2 [ Given the function xye* f(x, y) = 2x³ +50y² a) Find the domain of f. b) Find exist. lim…

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Q: The slope of the line normal to the graph y = 2 ln(sec x) at x = is: O-1/2 O non-existent O-2 2

A: The graph y=2lnsecx at x=π4

Q: For the curve f(x) = Find the horizontal and vertical asymptotes. x-4x² +2 x² - 4x +4

A: This question can be solved using the concept of horizontal and vertical asymptote of rational…

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A: Concept: Cosine function: Similar to the sine graph, the cosine graph is an up-down graph. The sine…

Q: Which of the following is the partial derivative with respect to x of the function f(x, y) = 2y sin…

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Q: If p = (7, 2), then find -2p.

A: If p=7, 2, then to find -2p.

Q: A solid figure projects the same shape on the x-y, y-z, and x-z view. Which of the following…

A: Note that the sphere will projects circles on the xy, yz and xz view.

Q: Use Cauchy's Integral Formula and Cauchy's Integral Formula for Derivatives, when appropriate, to…

A: See this solution in below

Q: Let Find fa, fay and fryz f(x, y) =In(xy)-26x¹0 y 10

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Q: The domain of the function f(x, y) = Inz x-y is: Select one: O The region below the line y = x but…

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Q: Determine whether the given set of functions is linearly independent on the interval (-∞o, co). f(x)…

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Q: For the piecewise defined function None of these 2 what should be the value of c so that we have…

A: In this question we have to find the value of c so that f(x) is left continuous at x=1

Q: Question 1 function r(t) = (tª In 1, ¹2³, −3e¯³¹). a) Find the integral r(t)dt. b) Find parametric…

A: Here, r(t)=t4ln t, t-32,-3e-3t

Q: Which of the following rational functions is equivalent to the partial fraction decomposition 2x 2x…

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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: 12. Show that the general linear demand function D(p) = a - bp, where a and b are positive real…

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Q: If z = √√√xy, dz and x = t², y = 1² then =? dt Select one: O √xy(21) O √xy(21²) 0 2t O None of them…

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Q: Evaluate: 12+3 2√x+3 ○1-3 ln (7/5) O2-3 ln(7/5) 2 O2+3 ln7 03-In()

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Q: Which of the following is not true? d dx O d dx d d.x [sech a] = sech z tanh x dx [csch a]=-csch a…

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Q: Vector A has a magnitude of 8.0 m, South and vector D has a magnitude of 10.0 m, 530 W of N. Find…

A: To find out the vector product.

Q: 4. (xy² + 2x²y³) dx + (x²y - x³y²) dy = 0

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Q: if a = (3, 2, 9) and b = (-4, 7, 2), find a • b.   a) a • b =-9   b)  a • b = 19   c)  a • b =…

A: In this question we have to find the value of a·b

Q: f(x, y) = 6√x - y'e a) b) -3xy + Find f and fy. Evaluate fazy (4,-1).

A: Given f(x,y) =6x -y2 e-3xy+3y

Q: Find the volume of the solid generated by revolving the region between the parabola x=y^2+1 and the…

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Q: 5. The angle between the tangent line and the normal line is (a) 180° (b) 90° (c) 45° 6. If x= 3t-2…

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Q: (x, y) 5) 4x2+2y2 Find the domain of f. Show that the limit does not exist. lim f(x,y) (x,y) → (0,0)

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Q: If f(x, y) = -x cos y, then fyx (1,0) = ? Select one: O -1 0 0 O-sin y 1 None of them

A: Given :fx, y=-x cosy

Q: Choose the correct answer for the following limit: Select one: Ο Α. 0 O B. Does not exist. OC. None…

A: According to question,Given Limit,Let l = limx, y→0, 0x3 + 6y25x3 + y2

Q: (c) lim ln(csch ¹x) #+++∞

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Q: Given the graph of f(x), the function is continuous from the left at x = -1. True or False? Select…

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Q: If f(x, y) = 2√√x² + y2 - 16, then the domain of f is the set D = {(x, y) x² + y² ≤ 16}. Select one:…

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