Find an equation of the plane. the plane through the origin and the points (4, -5, 2) and (1, 1, 1)

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Q: Find the solution of the given initial value problem in explicit form. y' = (1 - 11x)y², y(0) y(x) =…

A: Given initial value problem is : y'=(1-11x)y2,   y(0)=-14

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A: The answer is given below:

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Q: 1. Solve the Question Integral Sub Parts 1 A-C [cos¯¹x{√√(1-x²)}]¯¹ sin 2x (1-x2) A.S. log 1+ IL B.…

A: Disclaimer: since you have asked multiple question , we will only first for you.if you wants to be…

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Q: Use the Laplace transform to solve the given initial-value problem. y(t) = y"" + 2y" - y' - 2y =…

A: Solution is given below:

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A: Pedro walks at the speed of 40m/min from the school to home,by taking longer route of 100 m to the…

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Q: D) lim f(x)=| 23 E) lim → 8 f(x) = F) lim f(x)= z 2

A: D) we know that, limx→3f(x)=limx→3+f(x)=limx→3-f(x)But limx→3+f(x)=2limx→3-f(x)=-1Since…

Q: Mark the critical points on the following graph. 20 16- -5 -4 -3 -2 -1 12 18 4 T -8 -12 Clear All…

A: The objective of the question is determine the critical points of the given graph.

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A: Please refer to the image below

Q: 1 Σ (3)"-wn + 4 n = 0 (n + 1)(n + 2).

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Q: DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then the integral 00…

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A: Here we have to solve the differential equation.

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Q: Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then…

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Q: 5. Solve the differential equation dy 4t dt y² + t²y² = subject to the initial condition y(0)=2.

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Q: 3. Determine the point(s) where the function y = ₁ , has a maximimum and/or a minimum. Find BOTH…

A: Determine the point(s) where the function below has a maximimum and/or a minimum. Find BOTH…

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Q: If u = X + y+z a) 0 y 2+x ди + then the value of x x+y x b) 1 c) u d) None ax +y + ay +2 ди əz IS:

A: Question - 21 Given, u=xy+z+yz+x+zx+y To find, x∂u∂x+y∂u∂y+z∂u∂z Formulas used:…

Q: 5. а и д2u 02u дх2 + дуг + а и 02u дz² = 0

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Q: Fill in the blank. (Enter your answer in terms of t.) 1 L²5² + n²π²

A: Let's solve inverse laplace.

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A: We need to find critical numbers and classify.

Q: Solve: y" + 4y = x² + ex Yc=C1+C2_ Type the letter corresponding to your answer. Yp=A A_____ B с = A…

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Q: f(x) = 2x^3 − 3x^2 − 18x − 8 Rewrite f(x) using the Division Algorithm after having found one…

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Q: Find div F and curl F if F(x, y, z) = xz¹i+ 4ya²j+6z²yk. div F= curl F=

A: Vector

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Q: Answer ise. The function f(t) = (et)10 is of exponential order. True False

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Q: 6. Differentiate: a. f(x) In (In (3x)) b. Find equation of the tangent line to the graph of y-e³x.…

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Q: Consider the following function. f(x)=√x-9, x> 9 What is the domain of f? (Enter your answer using…

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Q: Given the function graphed below, evaluate the definite integrals. - 4 3 یبا 3 2 1 -1 -2 3 [' = f(x)…

A: From the given graph, we have to find the value of the definite integrals.

Q: Question is to find all the local​ maxima, local​ minima, and saddle points of the function.…

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Q: Let C be the curve represented by Ŕ(t) = (cos 2t, 2√3t, 5 — sin 2t). - ㅠ Determine the curvature of…

A: To find out the curvature of C.

Q: Find the area of the region between two curves f(x) = 3x + 1 and g(x) = x from x = 0 to x = 1.

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 3 2 14 Refer to the figure above to graphically estimate the values of the limit (if a limit does…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 768 on the interval [-20, -10]. Find the H plute extrema for the function on the given interval.…

A: * As per policy only first question is answered. Please refer to the image below

Q: Use Definition 7.1.1. Definition 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

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Q: dy dv 2 Find for y = = [ √3 +4 dt. 0

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