Find 2 dx *- dx x+1 4. dx 3.

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Q: HOMEWORK LG Solve the given initial-value problems. 4.43. xe* dx + (y - 1)dy 0; y(0) =0 4.44. y(3) =...

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Q: Find the scalar and vector projections of b onto a. a = i + j + k,   b = i - j + k

A: Given vectors, a = i + j + k,   b = i - j + k

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Q: cos 4x 2 dx sin4x 5.

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Q: 3. Consider the function f (x) = 2 x + 1 on the interval [2, 6]. (a) Compute the left-endpoint appro...

A: Solve the following

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Q: For F = (3xyz^2,y^2sinz,xe^(2z)). Find ▽⋅F and ▽xF.

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Q: what is the derivative of hcx) at x =D0 where h lx) =2f(6)-2-VFIR) where %3D

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Q: Find an equation of the tangent plane to the surface at the given point. 6x2 + 2y + 4z? = 30, P= (2,...

A: Explanation of the answer is as follows

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Q: Find the angle between the two given vectors. u = (1, –4, 1), v = (0, 2, –2)

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Q: Queskon (2): skKctch and ind Range.- 2) frx)= 4-Vx-5 ) fon= (x +2) -4 fox)= -Ix +3 +5 u) froys 2-V5+...

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Q: how would you, using a limit def. of a derivative at a point find f'(-1) for the function f(x). = 3-...

A: Hint:

Q: Find the domain and range of the function h(x, y) = 3\/3y – 12x². %3D

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Q: Explain why the function is differentiable at the given point. f(x, y) = x*e", (1, 0) The partial de...

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Q: Let ro = -a; xi = 0; and x2 = a. Compute the interpolation polynomial for f(x) = -r* using Lagrange ...

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Q: stion e graph of the function to find its domain and range. Write the domain and range in interval n...

A: Given query is to find the domain and range of the graph.

Q: I+1 5. h(z) at r 1 22-1 6. g(r) Vr-3 at r 4 7. g(r) = at r 8 %3D 8. g(r) = at z 0

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Q: Consider the following. f(x) = x* - 4x3 + 4x² Find f'(x). f'(x) = Compare the graphs of f and f' and...

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Q: A particle moves along the x-axis such that at any time t > 0 its position is x(t), its velocity is ...

A: Explanation of the answer is as follows

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A: Solution of question is written in below steps.

Q: Find dy/dx at the given point without first solving for y x2 + 3xy + 11 = 0 at (1, –4) %3D dx II

A: To find: The value of dydx at the given point without first solving for y. Given information: The cu...

Q: Evaluate ]] 6z°dxdydz , where V – is the region below 4x+ y+2z=10 in the | V first octont

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Q: Find the derivative of the function. g(x) = sin 9 + ex g'(x) Need Help? Read It

A: Solution:

Q: sin° (3x) cos“ (3x)dx 4

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Q: Find the directional derivatives of f(x,y,z) = x² y³ – y³z³ + x* in the direction of r = 2i– k, and ...

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Q: (3) Find a degree-4 polynomial that has integer coefficients and zeros v3 and 2i (A) P(x) = (x² – 3)...

A: We are asked to find the polynomial

Q: Q1/ Find the missing term in the following table using interpolation: 2 3 4 9 81 y: ...

A: The missing term is 

Q: Let f(x, y) = xe*-y and P = (5, 25). Calculate ||V fpll- (Express numbers in exact form. Use symboli...

A: Solve the following

Q: 6) For a function f(x) = x³ - 3x2 -1 use the first and second derivative tests to: a) Determine the ...

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Q: r.(t) = (0.5, 14.5, 0.5) + t (1,3, 3) r_(t) = (-6, 11, –1) +t (-2, 2,3) %3D Find the point of inters...

A: Given problem:-

Q: Evaluate the integral. 3* dx V3* + 4

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Q: Evaluate the given expression. d [1.7(x – |x|)] dx

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Q: 10x Selar. 20x dx 1- °

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Q: each

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Q: Please illustrate the difference between a function being continuous and differentiable by presentin...

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Q: Consider the series 11 Determine whether the series converges, and if it converges, determine its va...

A: Use the ratio test for checking the convergence of series.

Q: -10(3+ Find the fol- 6. Given f(x) = 1 - and its f(x) = S"(=) = lowing information and then sketch f...

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Q: P = xi + yj +zk Q = x²i -z²k R = xy²j – yzk PROVE THAT (QX R) *(dot) P = R *(dot) (P X Q)

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Q: Determine the continuity of the following functions. Determine continuity, if applicable. the kind 9...

A: To check the continuity of the given functions.

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Q: Suppose that a fruit stand exclusively sells apples and oranges. If the owner puts x apples and y or...

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Q: Please illustrate the difference between a function being continuous and differentiable by presentin...

A: We have to  illustrate the difference between a function being continuous and differentiable functio...

Q: dy 7) Find by using logarithmic differentiation for dx (Cos x)(e") y

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Q: farmer who owns a field adjacent to a straight river wishes to fence a rectangular area. No fence is...

A: Given query is to find the dimensions of the rectangle.

Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman win...

A: Here we have to maximize the area.