Find minima, bmakima and Sndtle points for the funetions fxy)=4x xy+ 5y - 2. x +2by 6x2-2x3+3y+6xy 2 -

Q: Find the Particular Solution: y(x - 6y)dx - x(2x - 9y)dy = 0 ; when x=1, y=1 O a. y (2y-3x) = 3x? O…

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Q: 8.(Straightforward) Find the general solution of these constant coeffi- cient linear homogeneous…

A: Since you have posted multipart question i can do first three subparts as per our company guidelines…

Q: Haw.L Find minima, maxima and Saddte paints for the functionss foxy) -9x -4 xy १ Cx,५) = 2 L» x + L9…

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Q: and the y-axis. 2. Evaluate , 5x³ cos(y³) dA, where D is the region bounded by y = 2, y =:

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: x'+3x +3x+1 (3) (i) Find lim x+1 2x +3x –1

A: In given function on putting x = -1 it gives ( 0/0) indeterminate form .  Hence first we factorize…

Q: 2. f(x) = -7 tanx 3. y = 2 cscx 4. y= 4x cos x

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Q: -2 -1 0 1 3 5 6

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Q: Evaluate the limit of f(x) numerically or state that the limit does not exist. 5x? – 180 f(x) = x +…

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Q: Consider the following. u = -6i – 2j - 4k, v = 2j + 2k (a) Find the projection of u onto v. (b) Find…

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Q: dz dx dy 3 Assume x, y, and z are functions of t with z = x + y°. Find dt = 12, and y = 1. dt when =…

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Q: Question For the function f(x) given below, evaluate lim f(x) and lim f(x). X00 X--00 -4e f(x) = +9…

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Q: ,x 1 Is the function k(x) = {x²-1 2,x = 1 continuous at x = 1?

A: We use L' hospital rule to find the limit.

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: y = cosx sinx

A: Given query is to the derivative of the expression.

Q: Use a graphing utility to graph the function on the closed interval [a, b]. x) - Ixl - 3, (-7, 71 -2…

A: topic - Rolle's theorem

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v,…

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Q: Suppose r lIs a differentiable function of x and y, and g(u, V) = (e sin(V), V)). Use the table of…

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Q: How 3 Find the absulute maxine and minima far the funltion (4x-x)Cosy an the rectangular plate…

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: Given:    Plane 3x+4y=-7    Line x-38=y2=z-36 The point where the plane and line intersect:    The…

Q: Given f - and 6 = - 4, 5 > , find 5ƒ + 66. 5f + 66 - <

A: Make a component wise addition and multiplication.

Q: e* – 9dx = 2ve* – 9 – 6Arctan ( Ve 9) +

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Q: Question Consider a function f(x). The function has critical points at - 4 25 and 2. The table below…

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Q: Find the derivative of the trigonometric function. y = cos(7x)

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Q: A car's movement is represented by the function 2x3 + 6x2 + 2x + 3 in kilometers reco at an hourly…

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Q: 2) The complex conjugate of z is denoted as z. Solve for z in the equation: z – 12 = j(9 – 2z) %3D…

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Q: Use Wallis' formula to evaluate ? cosxsin²xdx 2

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Q: Activity 2. Let's Optimize! Directions: Solve the problems below. Show your complete solutions. 1.…

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Q: Write the equation of the line tangent to the graph of y? 2y + 10x 17 at (2, – 3). - The equation is…

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Q: Find the volume of the solid generated by revolving the area of circle: (x-2)²+y²=4; about the x…

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Q: For what values of k does the following system has a solution? x – 3y = 6 - x + 3z = -3 2.x + ky +…

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Q: Find parametricequations of the line that satisfies the stated conditions. The line through (8, 5)…

A: The vector equation of line L, passing through the point x0,y0 and parallel to the vector b=li+mj is…

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A: Explanation of the answer is as follows

Q: Find the points on the surface y? = 36 + xz that are closest to the origin. smaller y-value (х, у,…

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Q: Find dy/dx by implicit differentia exly = 7x – y y' =

A: Quotient Rule of differentiation : ddxuv = v.dudx -u.dvdxv2 dexdx=ex dxndx=n.xn-1

Q: Evaluate the integral of the following sin42xcos³2x dx

A: We will evaluate the integral.

Q: B- Given 4x – 2y = 10 and 3x – 5y = 11, solve for x and y using Cramer's rule.

A: To solve given system of equations by Cramer's rule.

Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

A: Given: y=x+6, y=x, y=0   From the given curve and lines the bounded region is as shown below; Now…

Q: Suppose f'(x) = sin(5a²). d dz F(8z) d f(7=*) = | dx

A: Given f'(x)=sin(5x2) which means ddxf(x)=sin(5x2). Now we need to findddxf(8x) and ddxf(7x8), now…

Q: If f(x) = ln(4x + ln(x)) find f ′(1)

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Q: Determine whether the planes are parallel, orthogonal, or neither. 9x - 3y + z = 4 x + 4y + 3z = 1 O…

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Q: Activity 1. Calculate the Extrema Directions: Calculate the absolute extrema of the given functions.…

A: We need to find critical points to find extreama  or minima.

Q: The width of a rectangle is increasing at a rate of 5 cm/sec, while the length increases at 6…

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Q: Use implicit differentiation to find dz/dx and dz/dy. yz = 2 In(x + z) dz ax ze dy II II

A: Consider a function f(x,y,z) .Then to find ∂f∂x ,differentiate f with respect to x taking y and z as…

Q: B. If the measure of arc AB is 50 degrees, what is the measure of angle ADB? O 25 degrees 90 degrees…

A: As we know the degree of the arc is equal to the measure of the central angle that creates the arc.…

Q: Find dy/dx by implicit differentiation. tan(x – y) 7 + x2 y' =

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Q: Find the interval of convergence of the series. (3x)" * Σ n2. 10" n=1

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Q: A man starts walking north at 2 ft/s from a point P. Five minutes later a woman starts walking south…

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Q: (Easy) For the following differential equations, state the independent and dependent variables, and…

A: Here we have to find the dependent and independent variable order and the degree of given…

Q: dy a. Use implicit differentiation to find .xp b. Find the slope of the curve at the given point.…

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