4. Write the equation of the plane parallel to the z-axis, with xy-trace x + y - 2 = 0.

Q: Find a plane through the points (1,-4,1), (-8,-8,3), (2,-3,-5)

A: NOTE: Refresh your page if you can't see any equations. . given points are

Q: Find fr and f, for f(x, y) = 3x³ + 4x²y+ 4xy² + y? Select one: O a. fa = 12x? = 9x? + 8xy + 5y², = 9...

A: Given -  f(x,y) = 3x^3 +4x^2y + 4xy^2 + y^2 To find fx and fy.  

Q: Instruction: Determine if f is continuous at x = c. Also, determine if f is differentiable at x = c....

A: Given :f(x)=3-2xif x<23x-7if x≥2    c=2

Q: To Sketch the Graphs of functions using Derivatives. Problem. Consider the function f(x) = 8x - x wh...

A: Follow the procedure given below.

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Q: Let g (x, y) = 7 sin(xy) – 9x² In(y) + 4. Find the degree 2 polynomial, p, which best approximates g...

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Q: Let y=f(x) be the solution to the differential equation dydx=x−y−1dydx=x−y−1 with the initial condit...

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Q: Given the position s(t) = 8t² – 7t + 12 of a - body moving in a line, with s in meters and t in sec....

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Q: Use a linear approximation (or differentials) to estimate the given number. e0.015 Step 1 To estimat...

A: NOTE: Refresh your page if you can't see any equations. . the given number is  here the given numbe...

Q: Shown above is a slope field for which of the following differential equations? A + y? (B = x – dr y...

A: Here, dydx=y2⇒dyy2=dx⇒∫y-2dy=∫dx+C⇒y-1-1=x+C⇒-1y=x+C⇒y=-1x+C The graph is as shown for c=0.  

Q: Find the differential equation of the family of circles with fixed radius, r=0+4,and tangent to the ...

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Q: 3. One of the methods used to eliminate arbitrary constant is by isolation of arbitrary constant and...

A: Here, to write the other method to find the arbitrary constant of the differential equation.

Q: 4. (D² +D-1)²y = 0 ,when x= y = 0 , y' = y" = 1, y" = -1

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Q: 3. What is the derivative of y = evaluate the derivative at x = 0, and you are given that g(0) f(1) ...

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Q: The equation of the family of straight lines with y-intercept and slope equal is

A: Equation of family of lines

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Q: Which of the following is equivalent to sin 0 csc 0 sec 0 for all values of 0 for which sin 0 csc 0 ...

A: To find the equivalent form of the given expression apply the following formulas.

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A:

Q: Use the trapezoidal rule withn= 4 to approximate cos(x) dx Keep at least 2 decimal places accuracy i...

A:

Q: 8.What is the derivative with respect to a of f(x) = (5 – x2)²? оА. (5 — а?) (5 — а*) O B. 2(5 – a?)...

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Q: lim (32x-3 +5) 5) ,2r- x→4

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Q: 40 -2 3 --10 Given the function f(x) shown above, f(x) > 0 over which intervals? Ox 2 -3 2 Ox 1

A: Given:-

Q: If C+ L3 = e9C, compute dC/dL when C = 0. C'(0) =

A:

Q: Sketch the region enclosed by the curves and find its area. y = e", y= e3*, x = ln 2, x = lIn 3 In 2...

A: This question is based on application of integration.

Q: Elimination of Arbitrary Constant: y= Ax² + Bx+C , A and B are constant, C is a parameter

A:

Q: In running events, Banjo always trails from Bibo. Moreover, Kim runs faster than Bibo. Does Banjo r...

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Q: The equation ? + sin(xy) + C = 0 is the general solution of O y' + cos (xy) = 2 (x + y) 2 (ydx + xdy...

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Q: Direction: Read then solve the question carefully. Click the letter of the correct answer Find the d...

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Q: 3. What is the derivative of y = (f(g(f[g(x)))? Furthermore, if you are asked to evaluate the deriva...

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Q: 2) Sketch the graph of the curve with the polar equation: r=2- sin(20).

A: Polar equation of the curve is r=3-sin(2@)

Q: A graphing calculator is recommended. The motion of a spring that is subject to a frictional force o...

A:

Q: dy What is the general solution to the differential equation dx cos x+sin x 2y for y > 0 ? A cos x+s...

A: topic - differential equations

Q: Question 12 Find the local extreme values of the function f (x, y) = x² + y² – xy 8 -8 O 4

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Q: For what values of r does the function y = ex satisfy the differential equation y" – 4y' + 2y = 0? (...

A: We will differentiate y and put in the equation and then will find the value of r.

Q: Approximate dx using the midpoint rule with four subdivisions to four decimal places. J2 In(x) The a...

A:

Q: Find fræ, fry and fuy for the function f(x, y) = (1+x + y)e*y Select one: O a. None of these O b. fr...

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Q: Elimination of Arbitrary Constant: y= Ax² + Bx+C,A and B are constant, C is a parameter

A:

Q: The length of the curve y=In sec x from x=0 to x=b, where 0 < b <, may be expressed by which of the ...

A: Given length of the curve y = ln secx.Below find the solution in the image.

Q: Let H(x) = f(x) + 3g(x), where the graphs of f and g are shown in the figure to the right. Find H'(3...

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Q: Find the interval of convergence of Σ (-1)"(x- 7)" Vn? +7 (Use symbolic notation and fractions where...

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Q: A magazine publisher reports that their revenue function and cost functions (in thousands of dollars...

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Q: Let f(x, y) = 8x + 2y2, r(t) = (cos(t), sin(t)). Use the Chain Rule to calculate f(r(t)). !! dt r(r(...

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Q: Given the function g and asked to estimate lim g(z), three students created tables. Each table is ac...

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Q: 7. The function (x, y)= (2x* + y* )exp + xy' is homogenous in x and y of degree

A: .Given,f(x,y) = (2x4+y4) ey2x +x y3Put y= xSo we get,f(x,x)= (2x4+x4) ex2x +x x3 f(x,x)= (3x4) e0.5 ...

Q: 1. Elimination of Arhitrary Constant: y= Ax + Bx+C.A and B are constant, C is a parameter

A: Solution ) y = Ax2 + Bx + c  .......( 1 )  Differentiate with respect to x  y' = A × 2x + B × 1 + 0 ...

Q: a3 – 1 + 3.r lim -00 VA.r – 2x

A: We will take common the highest power of the x, and then terms will cancel out which will make easy ...

Q: A spherical iron ball 8 in. in diameter is coated with a layer of ice of uniform thickness. If the i...

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Q: I.TRUE or FALSE: Read carefully the statements below. Choose A if the statement is ALWAYS TRUE, othe...

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Q: Find the first and second derivative of the function. x3 + 5x? – 4Vx F(x) :

A: