Verify that * / II 21 ?х ду 224 ду ох - for f(x, y) = 4x4y3 - 6xy5.

Q: Sketch out the graph of ? = ?^2 + sqrt of ? + 1, and find its extrema, concavity, and points of…

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Q: Consider the following system. dx = -9x + 4y dt dy 5 -- +2y dt Find the eigenvalues of the…

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Q: d) S tanrd. cos³x

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Q: Find the value of k such that the perpendicular distance of the point (2,k) from the line x - 2y =…

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Q: 2-f(t)=3e-²¹. 4-f(t)=2 cos(3t). 6-f(t)=cos't-

A: Answer highlighted 3 questions(2,4,6)

Q: H.W Solve the question deferential equation by using separation varibles dy/dx=sin(x+y)+cos(x+y)

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Q: хра (q

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Q: A box with a square base and open top must have a volume of 171500 cm³. We wish to find the…

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Q: 25+1 c) r³-3x²-10x dx

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Q: Estimate the slope of the line given to the right. Select the correct choice below and, if…

A: slope of line = (y2 -y1)/(x2 -x1 ) here y2 = 5 y1 = 0         x2 = 1    x1 = 0 slope = (5-0)/(1-0)…

Q: 5. Evaluate the following integrals: 'T (a) cos(x) dx dy 4y (b) ₁. [ [² e-1²-y² dy dx (Hint: Use…

A: (a) ∫0π4∫4yπ cos(x)dxdy=∫0π4sin(x)4yπ…

Q: dx x²√x² + 1 2 18. 1

A: Use substitution method for solving this integral.

Q: Equation Conversion from Polar to Rectangular Coordinates r² = x² + y² r cos 0 = x 2. Convert each…

A: As per Bartleby guidelines rule I am answering only first three questions.

Q: Find the derivative of the parametrically defined curve (t) = 2 cos(4t), y(t) = sin(4t).

A: We have to find dy/dx.

Q: 4 cos z at the point (5,2). The Find the equation of the tangent line to the curve y = 2 sec z…

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Q: f(x) = 5x² - 8x + 15 3x² + 6x 12

A: here first we have  to find domain of function  here domain is which value we can put in function so…

Q: II. INDETERMINATE FORMS COS X X 5. lim x →∞0

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Q: What is the corresponding Cartesian coordinates for the polar point (-4,-)? (2√3,-2) (-2√3,-2) O…

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Q: Sketch the region enclosed by the following curve and find its area. x=y¹, y = √2-x, y=0

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Q: At what angles between 0 and will one leaf of r = 4 sin 20 and the circle r = 2 will intersect? 5T…

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Q: * (ارفق الاجابة) The eigen value of matrix 1 -1 O 1+i, 1-i O 1+i, 1+i O 1,-1 11 1-i, 1-i

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Q: How many arbitrary constants can be obtained from the answer if the given y"+y'+6y=9x³+x²-x is…

A: We know, The number of arbitrary constants in the general solution of a differential equation is…

Q: At noon, ship A is 50 nautical miles due west of ship B. Ship A is sailing west at 17 knots and ship…

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Q: Water stored in an inverted right circular cone leaks out at a constant rate of 2 ft3 per day. The…

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Q: (Inverse Trigo, Higher Order Derivati Directions: Find the derivative of the following fu 1. f(x) =…

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Q: 10. y (e-3x+4 +2)/(e2+3x +1)

A: The given function is ; y=(e-3x+4+2)/(e2+3x+1).

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z)= -2 ex cos (yz),…

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Q: The position of a particle on the x-axis is given by r(t) = t²-4t+3. At what time is the particle's…

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Q: -1.30 Find the value of the integral 100 √x dx by using simpson method (n = 6)?

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Q: Let one week's supply and demand functions for gasoline be given by p= D(q)-294-39 and p = S(a)= a,…

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Q: ร n=1 6 : 2n-1 3h

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Q: Converting Polar / Rectangular Equations Homework Equation Conversion from Rectangular to Polar…

A: We know that general algebraic rule is - (a-b)2 = a2 + b2 -2ab  And trigonometry identity is-  sin2x…

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = − 9x² - 2xy –…

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Q: 2 I 2 Vr +25 dz

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Q: (Inverse Trigo, Higher Order Derivative, Chain Rule) Directions: Find the derivative of the…

A: The given problem is solved below in detail.

Q: Where is f(a) not continuous?

A: Given:

Q: Question 15 : The altitude of a triangle is increasing at a rate of 2.5 centimeters/minute while the…

A: To solve the following problem

Q: A light is placed on the ground 30 ft from a building. A man 6 ft tall walks from the light toward…

A: This question is based on application of derivative.

Q: b)show that: I(cosh at cos at) = 5²440*

A: This is a problem related to laplase transform. Here we will use convolution theorem for evaluating…

Q: f(x) = 4x²8x +3 x ² + x - 12 2

A: Given.

Q: Evaluate (²6² 0 Oa. 16 946 O b. 16 936 O c. 8 945 O d. None of the choices. O e. 16 945 1 1-y - xy…

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Q: A company selling widgets has found that the number of items sold & depends upon the price p at…

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Q: 3. Complete the table of values below. Then, sketch the graph of r = 2 - 3 cos in polar coordinate…

A: given isr=2-3cosθ

Q: 7.) (2x-y)y=4x-2y-5

A: Note:- These are multiple questions and according to our company guideline we can do maximum one…

Q: The height and radius, respectively, of a cylindrical tank is 5 m and 2 m. If the tank is full of…

A: Given

Q: An aircraft sets a course with a certain bearing and at a speed of 500 mph. A horizontal wind…

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Q: find the limit as x approaches to infinity (x-3 / x+1)^x/a

A: We need to evaluate the value of the following limit limx→∞x-3x+1xa Formula Used:  limx→∞1+mxx = em…

Q: 1.30 Find the value of the integral ₁00 √x dx by using simpson method (n = 6)? 1.00

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Q: A company determines that its marginal revenue per day is given by R'(t), where R(t) is the total…

A: We have to find the profit function and average.

Q: What equation is equivalent to * x² + y² - 8x + 2y = 8? (x-4)² + (y- 1)² = 25 (x - 1)² + (y-4)² = 25…

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