00 8 12 -1 lim g(x) = lim g(x) x 3 = 3+ 2+ 10 -1 1 2 3

Q: - Two forces are applied to the construction bracket as shown. F₁ = 800 lb and F2 410 lb, and their…

A: Topic- vectors We are givenF1=800lbF2=410lbangle F1makes with x axis=70°angle F2makes with x axis=θ°…

Q: Rewrite -9.3 e = h as an equivalent logarithmic equation. Enclose arguments of functions in…

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Q: 2x4 1+x² a) [: dx b) [ cos² cos² 2x dr

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Q: Consider the function ab sin (a) |x-61 f(x)=x2-36 1 x+a a) Suppose first that x < 6. In this case,…

A: We have to solve |x-6|x2-36

Q: Evaluate the following, using INTEGRATING FACTOR. (ex+y - y) dx + (x ex+y + 1)dy = 0

A: We have to solve the differential equation by integrating factor  (ex+y - y) dx + (x ex+y + 1)dy = 0…

Q: iii. [ 2² √₂³ +11de, x5 u = x³ +11 bstitu

A: Solution is given below:

Q: Consider f(x)=5x-3-41/x^2 Which of the following does the x-intercept of the tangent line at x=2…

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Q: Find the equation to the tangent line y=8 sin x at point (π/6, 4) using form mx+b m= b= Both of them…

A: Topic =Derivative

Q: Find the integrating factors for the linear differential equation y'=5y+8

A: We can solve this as follows:

Q: 2. Consider S: x¹e² − yz² + xy = 0, where z is a differentiable function of the - two independent…

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Q: Use the substitution a = 2 sect to evaluate the integral dz

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Q: 6x + y²)dx + y(2x - 3y)dy = 0

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Q: [x²-2 if x≤2] -3x+1 if x>2 Graph the function, f(x)=- x y

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Q: Find the curl of the vector field F(x,y,z)=x^2yi-2y^3zj-3zk.   A. curl F = 2y3i + x2k          B.…

A: Option (c) correct  For detail...go through the solution

Q: For y = f(x)=x²-7x³ +5, find dy and Ay, given x = 1 and Ax= -0.1. dy = (Type an integer or a…

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Q: 4²-25 442-204125

A: We are asked to simplify the following

Q: Consider the function g defined by a. Is g continuous at x = 3? b. Is g continuous at x = 5? g(x) =…

A: Given gx=1xx≤325-x3&lt;x≤5xx+45&lt;x

Q: How you recieve pi/4 in the first problem because when you put tan-1(1/2/12) = tan-1(1) and this is…

A: This is possible by the conversion of degree into radian.

Q: Determine the solution of the 1st Ordered Differential Equa 3(x² + y²)dx + x(x² + 3y² + 6y)dy = when…

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Q: 1. Let z = f(x, y) = -tan x + y² + eysin. (a) Use local linear approximation to approximate the…

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Q: Which one of the following patterns characterizes a nested multiplication? Add-add-add-add...…

A: We have to find out character of nested multiplication

Q: 2-y If x = 32, find 2y 4. y+2 2y√ √2y B. dx B. Find y' if y = 4x-1 y-2 2y√ √2y (2x²-3)(3x+2)…

A: We can answer both the question in the below steps.

Q: Find div F if F(x, y, z) = (x2 + y) i + z2 j + (ey - z) k.           A . 2xy i + k          B. 2x…

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Q: Let the velocity vector be v(t)=⟨5t^4,−3sin(t),4exp(2t)⟩ and the initial position vector be…

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Q: Use the one-to-one property of logarithms to find an exact solution for If there is no solution,…

A: The given logarithm expression ln5+ln5x2-8=ln129 we have to find the solution for x

Q: Find an equation of the line that contains the given pair of points (13, 18), (0,5)

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Q: Let b be a parameter and let f be the function defined by (sin(x-b) if x > 0 x² +1 if x < 0 f(x) =…

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Q: 3) If x³ ≤ f(x) ≤ x for x in [-1,1], find lim f(x) if it exists. x-0

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Q: Let f(x) = 7 cos x + 5 tan x f’(x)= f’(4 π/3)= (4 π/3) needs to be in decimal form as a result Plz…

A: Given :f(x)=7 cos x + 5 tan x

Q: Solve y = (1 + y) sec (x) + tan (x)

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Q: There are 25 points on the plane and there are no three points on the same straight line. How many…

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Q: A store rents movies. If the rental fee is $2 each, the store knows they can rent 64 movies per…

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Q: Determine the solution for the following Bernoulli’s differential equation.

A: Here we have to solve the differential equation.

Q: Find the equation of the plane passing through the points O=(0,0,0), A=(−4,5,1)and B=(−1,0,−6)

A: plane passing through the points O=(0,0,0), A=(−4,5,1)and B=(−1,0,−6)   that is plane passing…

Q: III. A. Test the given function for its homogeneity. If it is homogeneous function, give its degree.…

A: I am attaching image so that you understand each and every step.

Q: nd div F if F(x,y,z) = xz6 i + 5y7x2 j + 6z2y k.          A. div F = z6 + 35y6x2 + 12zy…

A: To find div F.??

Q: (D² + 4D + 8)y = 1 - 3x

A:

Q: Let h(x) = tan (2). Which of the following best describes its fundamental algebraic structure? A. A…

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Q: Evaluate J dx √x(1+√x)

A: ∫1udu = lnu +C

Q: 1.) Let U=(n, o, p, q, r, s, t, u, v), A = (n, p, q, s), B = (n, o, p, t, u, v), C = (n, p, q, u,…

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

Q: Obtain the differential equation of the following family of curves. 1. Circles with center on the…

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Q: We want to compute the following limit a) As a approaches 5 we get an indeterminate form of the type…

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Q: Hi. It's kind of hard to understand the transcript. Do you have a handwritten solution? Thanks

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Q: The chord of the arc subtended by 5°03'25" will vary in length with the radius. Which of the…

A: Sketch the schematic diagram of given question.

Q: 56x²5x-50 15x²-44x-20 20x²7x-6 2x² + 9x + 10

A: We know that the root of quadratic equation ax^2 + bx + c = 0 is x = ( -b + √ (b^2 - 4ac)) / (2a)…

Q: Practice -3₁ (2-5₁) = (answer in a + bi form

A:

Q: Which derivative rule(s) were used to develop: "So rate of change of average cost is given by A'(x)…

A: Let's solve.

Q: x² = 6x +16 2 rewrite in factored form The solution B The set is {}

A:

Q: or what value(s) of x the function f(x) = 1 + √x has vertical tangent line.

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Q: 1. Differentiate y = √e(72²-2) (a) by using the chain rule directly with functions f(x) = VI and…

A: Given, y=e7x2-23