Find the area of the parallelogram that has u = 2i – j+ 2k and v = 2j + 3k as adjacent sides. %3D NOTE: Enter the exact answer. A =

Q: Any plane passing through (-2, 2, 2) is A(x+2) + B(y – 2)+C(z- 2) = 0 : It passes through (2, –2,…

A: Solution of 3 variables linear equation is solved by using cross multiplication method.

Q: Given that dx = m. a) Find [g(x) – 8] - 8] dx. [Select ] b) Find 3g(x - - 3) dx. [Select] | g(x) da…

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Q: 10 | f(=)de – f(=)dz = | f(2)dx What are the values of a and b? a = b =

A: The objective of the question is determine the value of a and b.

Q: -2 e* sin(x) -dx 1+ x2

A: the solution is as follow we will solve the given problem by numerical method  Trapezoidal rule

Q: dy = x and find the particular solution when y(0) = dx Solve y? %3D

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i +j and i – 14j as…

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Q: Find the values of p for which the series is convergent. (Enter your answer as an inequality.) 00 E…

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Q: Determine if the following statement is true or false. The lines L, and L, are skew. L:x = 7+ 2t, y…

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Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

A: We need to find directional derivative.

Q: Approximate the change in the volume of a sphere when its radius changes from r = 50 ft to r 50.05…

A: Given,           The radius of the sphere changes from r=50 ft to r=50.05 ft.To find : Approximate…

Q: Use logarithmic differentiation to find dy/dx. x² – 4 x2 + 4 - y = x > 2 dy dx II

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Q: Solve the differential equation by variation of parameters. y" + 3y' + 2y = cos(e*) y(x) =

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Q: The following Riemann sum gives the Right-Endpoint approximation of the area under the curve of some…

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Q: (y-3)/(x³+1) dy = y4dx is a separable differential equation. Select one: O True O False

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Q: tunction. a) b) 6- 4- y = f(x) -6 -4 -2 4 6 -2- -4- 2.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find an equation of the plane that passes through the point P(-8, –3, 7) and has the vector n = (-8,…

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Q: The sum of 2 numbers is 15. Find these numbers if their product is a maximum

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Q: 4. The function g(t) = (8t)' – cosh² t + sinh t satisfies g'(c) = 0 for which value of c? (a) c= 0…

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Q: Find parametric equations of the line through (-2, –1, 3) that is parallel to 2i – 3j+k. x(t) = %3D…

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Q: 4. CHOOSE one of the following functions (CIRCLE YOUR CHOICE): y = 2 log(x + 3) – 5 Asymptote(s)…

A: As per our guidelines, we can answer only three sub-parts in a single request. Kindly re-post the…

Q: Identify the open intervals where the function is changing as requested. Increasing 3 45 6 O (-3,…

A: Increasing

Q: Find Duf at P. f(x, y) = sin(4x – 2y); P(2,4); u = i j - NOTE: Enter the exact answer. Duf :

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Q: (2) A stone is thrown vertically upward from the ground with an initial velocity of 40 ft/sec. (2.1)…

A: Topic:-  basic maths  Note :- as per our guideline if more than three subparts need to be answered…

Q: Suppose f(r) is a function whose Derivative f'(x) is graphed below on the domain [0, 9). y = f'(x) 1…

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Q: O y" + y 0 O y" - 5y' + 4y = 0 O y" + 2y' + 2y = 0 O y" - 3y' - 4y = 0 O y" + 2y' + y = 0 O y" + 9y…

A: Curve

Q: 4. The function g(t) = (8t)* – cosh² t + sinh? t satisfies g'(c) = 0 for which value of c? %3D (a) c…

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Q: Find two unit vectors in 2-space that make an angle of 45° with 9i + 4j. NOTE: Enter the exact…

A: Solution: Let u = ai+bj makes an angle of 45 degree with v = 9i +4j

Q: С. lim х-2 х+1

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Q: y" 2y'+ 17y-0; e cos(4x), e sin(4x), (-m, on). Venify that the given functions form a fundamental…

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Q: Solve the differential equation with the appropriate method. Finalize the answer equated to y. 1.…

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Q: The line through (8, 5) that is parallel to 3i+2j. Ox = 8+51, y = 3+2t Ox = 8+81, y = 5+5t Ox =…

A: Given query is to find the equation of the line.

Q: True or false If f’(x) = 0 and f”(x) < 0, then the point (x,f(x)) is a local minimum

A: Solution ) if f'(x) = 0 And f"(x)  &lt; 0 So (x , f(x) ) is a local maximum point  If  f"(x) &gt; 0…

Q: Solve the given problems. 1. Determine the distance i to the center of mass of the homogeneous rod…

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Q: Let R be the region bounded by the functions f(x) = x2 + x and g(x) =-3x -6x as shown in the diagram…

A: Given query is to find area bounded by the curves.

Q: any method to determine if the series converges or diverges. Give reasons for (n!)8 Σ (7n)! = 1

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Q: The are of a rectangle is 100 cm2 and one of its sides is x cm. Find the minimum perimeter possible.

A: Let us consider a rectangle with length l unit, breadth b unit Then area of this rectangle= lb…

Q: Evaluate the definite integral: 7 dx 3

A: To evaluate the following definite integral.∫347 dx

Q: 2-4х3 3. lim х--0- 5x2+3x3

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Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

A: Given that,     ∫210x3+1dx, n=4

Q: If L is a line in 2-space or 3-space that passes through the points A an B, then the distance from a…

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Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

A: To solve the following problem using langrange multiplier

Q: Express the given parametric equations of a line using bracket notation and also using i, j, k…

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Q: "he velocity function, in feet per second, is given for a particle moving along a straight line.…

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Q: Find an equation of the plane that is parallel to the plane x + 4y – 3z + 16 = 0 and contains the…

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Q: Use the union rule to answer the question. If ​n(A)=8​, ​n(B)=9​, and ​n(A∩​B)=4​, what is ​n(A∪​B)?

A: Formula: n(A∪B) = n(A)+n(B)-n(A∩B)

Q: Logistic population model is given by d P/dt = 10 P (0.2 – P/5000). Analyze and show how this model…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

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Q: Use vectors to find the lengths of the diagonals of the parallelogra that has i + j and i – 18j as…

A: Given query is to find the length of the diagonal.

Q: Determine the following indefinite integral. (2:-3) dz O e(2-3) +C 0 2 O 2e(z2-32) + C 글e22 + C O…

A: Consider the integral  ∫2e(2z-3)dz

Q: X1 – 4x, + X3 = 2 4x1 + X2 =1 Xz + 4x3 =-1

A: Since the question is asked to solve by two different method solution by one of the method is given…