Find an equation of the plane that passes through the given point and is perpendicular to the given vector or line. Perpendicular to n = j Point (4, 6, -9)

Q: Find the solution of the given initial value problem: y(4) + 2y” + y = 11t + 6; y(0) = y′(0) = 0,…

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w…

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Q: Consider the following equations. f(x) = x5 + 3 g(x) = x + 3

A: Here we have to plot a graph.

Q: Find the angle between the vectors in radians and in degrees. u = 8i + 3j + k v = 3i - 8j (a)…

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Q: f(x) lim sin(5x) X I 0 -0.25 3 2 Estimate the limit numerically or state that the limit does not…

A: We have to find out limit

Q: Given: ZBCE ZDAF, 4BCE = ADAF Prove: BCDA is not a parallelogram. Use paragraph proof. Copy the…

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Q: = In (). 5. If z= In determine if the following statement is true or false. Justify your answer.

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Q: Sketch the region that corresponds to the given inequalities.   12x  +  6y ≤ 60   6x  +  12y ≤ 60…

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Q: On a circle of radius 9 feet, what angle would subtend an arc of length 5 feet? degrees

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Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent. (-1)^…

A: Solve the following

Q: A particle moves along a straight path with velocity of v(t) = (4-4t) m/s at time t seconds. What is…

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Q: Define the points P(1,1) and Q(3,-4). Carry out the following calculation. Find two vectors parallel…

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Q: =) y II 131 Olim x 1 z 1 0 -1 lim 2-1 x |x-1| |x-1| x - |x-1| lim z 1 x- - 1 -5 -1 DNE UND 0.9 -1…

A: c) Given,y=|x-1|x-1 now, limx→1-11-xx-1=limx→1-1(-1)=-1

Q: I need a box with a square base and an open top that can hold 500 in What is the least amount of…

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Q: Find the four second-order partial derivatives. f(x,y) = 3x³y - 5xy +9y fxx (x,y)=[ fxy(x,y)= fyx…

A: Let us consider a function f(x,y) Then fxx=∂2f∂x2, fyy=∂2f∂y2, fxy=∂2f∂x∂y=∂2f∂y∂x=fyx

Q: Tim x-2 x-2 Js √5x-2-√√2x+4

A: To evaluate the given limit first we multiply the numerator and denominator by the conjugate of the…

Q: $fº f(x) dx = 12.5. Use this information to fill in the blanks. (Round your answer for part (f) to…

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Q: The general solution of xdy-ydx = x²e³dx is (A) y+x²+x=0 B x+ye²-cx=0 C y=x*-c=0 (D) x-ye*+cx=0

A: We need to find out the general solution.

Q: What is th epurpose of the second step where you multiply and divide by square root 2? Why doesn't…

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Q: Find the derivative of the function. f(x) = arcsin(8x) + arccos(8x)

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Q: Find the solution of the given initial value problem:

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Q: Write the equation of the circle centered at (2, 9) that passes through (18,7).

A: To find out the equation of the circle.

Q: Find h' (1) for the function h(x) = f(x)f(x). h'(1) = f(1) = 5 and f'(1) = 1.

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Q: ) ㅠ S tan5 (2x) sec² (2x) dx 2

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Q: -if f₁ (t) properties of Fourier transfor eat alt) JF.T = $ fit) ējut dt = - feat. ejust dt е ماز-…

A: Topic:- calculus

Q: Find the lengths of the sides of the triangle with the indicated vertices, and determine whether the…

A: A detailed solution is given below.

Q: Exercise 10. A wire of length 28 m is to be cut into two pieces. One of the two pieces is to be made…

A: topic- Application of derivatives

Q: 1₂ = 2√ x²+) ·cos (nwot) at = [² (-²) 2 O 25+ (1+) Cos (2nrrt) dt = 21- 1² (1-1) Los (n 2πrt) (t-1)…

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Q: Consider the following function. f(x) = 1 |x - 51 (a) Find the critical numbers of f. (Enter your…

A: You must have idea how to find critical point of any function. By using those value you need to find…

Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

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Q: cosh(In2)= A B C D 5 4 0 Alw Some other answer

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Q: (v3 - 3y + 2)√√9+ x²dx + x²dy = 0

A: The given differential equation is;  (y2-3y+2)sqrt(9+x2)dx+x2dy=0. Repost the next questions.

Q: Find the solution of the given initial value problem in explicit form. 114 y(x) = y' = (1 – 3x)y²,…

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Q: Find the derivative where w=5xyz, x=2t, y=4t, and z=3t-³. dw 1 dt dw dx (Type an expression using x,…

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Q: Find the solution of the given initial value problem: y(t) = y" + y = sec(t), y(0) = 11, y'(0) = 5,…

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Q: = 4 is 3. The nontrivial analytical solution of +x=with x(0) = (a)3-e (b) 3+e (c) 3+es (d)-3+e…

A: NOTE: Refresh your page if you can't see any equations. . compare this DE with   so here we have

Q: Evaluate the limit. 1000x6x6 + x³ 1000+ 13x6 + es Give your answer in exact form. If the limit does…

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Q: Find the vector component of v = (4,-1,7) along b = (4,4,-7) and the vector component of v…

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Q: The following are differential equations except A y" - 2cosx=5 B C D dy x+y dx x-y y" - 2y +5=0…

A: We can find the equation which is not a differential equation as below.

Q: Determine the general solution of the given differential equation. -t y""+y" + y + y = et +9t NOTE:…

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Q: Ass: 一 V EXAMPLE 6 Find the area enclosed by the line y = x - 1 and the parabola y² = 2x + 6.

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Q: Find the area of the region that is bounded by the given curve and lies in the specified sector.…

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Q: Examine the graph of (a) below, and find the values given below. If the limi below CH does not exist…

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Q: Find the solution of the following initial value problem. y" + 10y' + 21y = 0_y(0) = 9, y'(0) = −55…

A: Given: The characteristics equation is m2+10m+21=0. So,                  m2+10m+21=0⇒m=-10±102-4·…

Q: 5x^4-8x^3+6x-5 find the second derivative and find the concavity upward and downward

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Q: 7-8e2x lim x→→∞ 12e²x+28

A: To find the limit.

Q: Given H(jw) -(4+jw) 6+5jw-w² an rewrite as:- (jw+4) -+₁) 6+ (jw)² + 5jw (jw+ 4) (jw+3) (jw+2) (jw+3)…

A: Topic:- application of calculus

Q: calculus

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Q: Exercise 14. Determ (a) f(x)=x" (b) f(x) = ln x 1 7-x (c) f(x) =

A: a.fx=xnDnax+bn=n!an…

Q: 3. Find V x F for F(x, y, z)= -x2 i + x² + y² -yz x² + y² =j+√x² + y²k.

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