Find the vector component of v = 2i - j + 3k along b = i + 2j + 2k and the vector component of v orthogonal to b. Enter the exact answers. The vector component of v along b is ( The vector component of v orthogonal to b is " ). ).

Q: In each of the graphs A-E below, a possible graph of f (2x) is given in blue on the same axis as the…

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Q: 7 sin x Let f(x) = 4 sin + 2 cos x Then f'(x) = The equation of the tangent line to y = f(x) at a =…

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Q: Use the method of variation of parameters to determine the general solution of the given…

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Q: Use technology (Excel or another spreadsheet program, a graphi Round your answer to three decimal…

A: We have given to find  tan5π9 tan5π9=-5.67128 Rounding off to three decimal places  tan5π9=-5.671

Q: (b) Use the following formulas to set up two integrals for the arc length from (0, 0) to (1.1).…

A: We need to find arc length.

Q: Find the parametric equation for the line where the planes 2x - 2y + 8z = 24 and 10x − 3y + 6z = 18…

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Q: Evaluate the following definite integral: **12sin³xcosxdx O O a.) b.) d.) П S 3 12sin³xcosxdx= 16 П…

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Q: Find the instantaneous rate of change of f(x) = 2x² - 8x + O 16 O -8 -16 O-14 8x+1 when x = -4.

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: We need to find  out the volume of revolution for the given function on the interval given.

Q: 14. Find the value of the constants (a, b, or c) that makes the following functions continuous: if x…

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: Explanation of the answer is as follows

Q: Approximate the arc length of the graph of the function over the interval [0, 8] in three ways.…

A: This is a problem related to arc length of the function. Please find the procedure given below.

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Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

A: Let's find volume by using shell method.

Q: Find an equation of the line described. Leave the solution in the form Ax + By = C. The line…

A: Given data÷ Points÷ -3,6 and 3,-1   Equation of line having two points is given by÷ Points÷ x1,y1…

Q: 2. (a) (c) 1 x-5x+6 Evaluate - S In x-31 - In/x-2| + C In x-3| + In|x-2| + C -dx (b) (d)…

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Q: Consider the helix r(t) = (cos(-2t), sin(-2t), -4t). Compute, at t = 7: A. The unit tangent vector T…

A: We can find unit tangent , normal , binormal vector and Curvature .

Q: Use a Riemann sum with 4 rectangles of equal width to approximate the area between y = 3x²+1 and the…

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Q: Please see attached and : Find the domain and range of g. (Enter your answers using interval…

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Q: The function C gives the cost, in dollars, to produce a particular product, where C (x) is the cost,…

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Q: e product rule gives what derivative for ete-t? This function is constant. A = constant is 1. Then…

A: Topic:- function

Q: (a) T-1²; x(0) = 2. = 2.

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Q: Differentiate the function. 7 x - 7x² +7 X X y' = y =

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Q: This set represents O a line O a half-plane, including the boundary O a half-plane, excluding the…

A: Solved below.

Q: 1/sqrt(x) Find derivative

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Q: Evaluate the integrals for f(x) shown in the figure below. The two parts of the graph are…

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Q: D Question 10 For some matrix A we are told that A³ = 0 Does that mean A has to be the zero matrix…

A: We have given for some matrix A A3=0 This doesn't mean that A has to be zero matrix also. There are…

Q: Consider the following. 4x + 3 x + 1 Find the critical numbers. (Hint: Check for discontinuities.)…

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Q: Use the Binomial Theorem to expand the binomial (2x3 - 1)4 and express the result in simplified…

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Q: Analyze the situation. Identify a reasonable domain and range for the situation. The revenue earned…

A: Here we have to analyse the given situation and find the domain and range of it.

Q: but how did you get that s+3 in the nominator

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Q: = 2 2 x²-3

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Q: A B du Which of the following is the general solution of dx u² + 2x² = C xu²+u = C ²x²u²+2u = C…

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Q: 3. Mixture A large tank is filled to capacity with 500 gallons of pure water. Brine solution…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: dy ng is the general solution of xln x + y = ln x² dx y = lnx + C y = lnx+₁x

A: We have to choose the correct option from the given options according to the given information

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Q: [ e³³ex+1 e-4x dx

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Q: Find the tangents to the graph shown below at the origin and the point (1, − 4). y 8x 11 10 $ $ # B-…

A: Given :y=-8xx2+1(1, -4)

Q: · [₁² b. e2r sin r dr

A: The given integral is ∫e2xsinxdx

Q: Find the line through (7, 1, -6) that intersects and is perpendicular to the line x = -1 + t, y = -2…

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Q: If f(t) = (2t - ), find ƒ' (t).

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Q: 3. Let r : R → R² with r(t) = x(t)i + y(t)j where x(t) and y(t) are both twice differentiable. (a)…

A: We are given function r : R ->R2 with  r(t) =x(t)i + y(t) j Where x(t) and y(t) are twice…

Q: 7. Find the derivative for the function f(x) =(√√√x)" 8. Find for √3x² +1(3x² +1)³ dz for Y 3x3x 9.…

A: 7) f(x)= sqrt(x)x 8)y= sqrt(3x2+1) (3x4+1)3 9) y= 3x3x

Q: S 0 ecos sin 20 de

A: Topic - Definite integral we are given ∫0πecos θsin 2θ dθand we know that∫exdx=ex+Cand integration…

Q: 2. The path taken by a particle is a horizontal line as it moves according to the law 3 s = ²²…

A: Concept: Velocity is the rate of change of displacement that is  v(t)=ds(t)dt Acceleration is the…

Q: Q2: Solve the national-income model by matrix Inversion: C + Io + G....... . (1) C = a + b(y-T), (a…

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Q: use f and g given by the following tables of values. x f(x) −5 −1 −1 1 3 0 4 −5 x g(x) −5 2 −4…

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Q: Find the four second partial derivatives of the following function. 5 6 h(x,y)=x² + xy +9 2h ax² 2h…

A: As we know that; The Sum/difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 And c·f'=c·f', where…

Q: Find the vector component of v = (4, -1, 7) along b = (2, 4, -4) and the vector component of v…

A: Given; v=<4,-1,7> and b=<2,4,-4>.

Q: Find the arc length of the graph of the function over the indicated interval. (Round your answer to…

A: We need to find out the arc length of the given curve in the given interval.