Using algebraic substitution, differentiate the following |2+ Vx dx

Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

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Q: Four-bar linkages are one of the simplest family of mechanical linkage systems. Draw diagrams and…

A: Four-bar linkages are one of the simplest family of mechanical linkage systems.

Q: 12) (sin (4x - 9) dx

A: Given function : sin (4x -9) To find : Integral of the function.

Q: Approximate the critical numbers of the function on the open interval shown in at each critical…

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Q: 3:30 A3. If y = e2x+5 then y' = %3D LA) 2e2x+5 (b) e2x+5 (c) 5e2x+5 (d) e2

A: Given query is to find the derivative of the expression.

Q: Use Lagrange multipliers to find a vector in 3-space whose length is 6/3 and whose components have…

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Q: af Find a d () + In (). of the function f(x,y) = arccot and ду

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Q: The graph at right shows a function g(x) a) Where is the function decreasing? b) Where are the local…

A: Given query is to find intererval where function is decreasing and local minimum location.

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: Graph the function f(x) over the given interval. Partition the interval into 4 subintervals of equal…

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Q: M=N

A: answer is in next step

Q: Solve the differential equation. dy = 5 ex-y dx Choose the correct answer below. O A. y= 5 e* +C O…

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Q: For numbers 4-10, answer the following questions for the piecewise defined function f(t). t2 t+6 for…

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Q: Find equutiuns Ofthe followicy t. 9 tangent Aane b) The nomauf line

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Q: The student should answer the question below: Evaluate the given equation: | ydA where T is the…

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Q: An object moves in a straight light according to the position function s(t) = 2te-t where s is in…

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Q: Find parametric equations of the line through (-1,0,3) that is parallel to 5i – 6j+k. x(t) y(t) =…

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Q: Evaluate the integral. (Definite Integrals 6 r dr 15) V16+ 3r2

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Q: The marginal cost function, in dollars per item, for producing the x th item of a certain brand of…

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Q: In the given integral below, what is the values of u and a? * dx V3 – x² – 2x - u = x + 1 and a = 2…

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Q: y'sec²xdx – (1– 2y'tanx)dy = 0

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Q: log, r – log, (x + 10) = log, k. %3D 1 Find x if k 8

A: Log

Q: 2. Evaluate the following limits. 4x2+x-7 f. lim 2x2+3x+10 X→-00

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Q: Use spherical coordinates to show that the volume of a sphere of radius R is V = *nR³.

A: Given the radius of sphere is =R  Then equation  of sphere is                      X2 + Y2 + Z2 = R2…

Q: 2 4 -1 1 0 05 -2 3 2 1 1. Let A B= and C 4 0 Let a = 4 -2 -6 5 -2 2 and 3 =. Compute the following:…

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Q: (a) Write a nonrecursive formula for the term of the arithmetic squence a based on the given…

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Q: Find the particular solution determined by the initial condition. ds 16t2 + 5t – 5; s(0) = 100 dt

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Q: Differentiate the following functions. eX+e=* y D .y= 2

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Q: n: - 4.r? with f'(x) = (x+ 2)2 r(r+8)(r – 2) (x + 2)3 8(7.r – 4) - f(r) = and f"(x) = %3D %3D %3D…

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Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

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Q: Find the consumers' surplus at a price level of p = $130 for the price-demand equation below. p=…

A: p=400-0.02xat p =130130=400-0.02x0.02x=270x=2700.02=13500x=13500TE=px =130(13500)TE=1755000

Q: Find the vector component of v = (4, - 1, 7) along b (3, 6, -6) and the vector component of v…

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Q: x cos x² 2. X C0 dx -siny

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: Determine whether the series converges. 1 k + 11 k=I The series

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Q: Find the directional derivative of f at Pin the direction of a. f(x, y) = 3x³y*; P(5, 1); a = 7 i –…

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Q: Find the directional derivative of f at P in the direction of a. f (x, y, z) = ry + z²; P(-4,–3,4);…

A: We need to find directional derivative.

Q: 10

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Q: (2x – 3y +1)dx – (3x + 2y – 4)dy = 0

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution of the…

Q: 1. Given: - 4r? with f'(r) = (r+ 2)2" r(r+8)(r – 2) (x+2)3 8(7r-4) (x+2)4 f(r) = and f"(x) = %3D %3D…

A: fx = x3-4x2x+22 ; f'x = xx+8x-2x+23; f''x = 87x-4x+24

Q: 4. dy – (x - y + 1)²dx = 0

A: As we know that; ∫dxa2-x2=12alnx+ax-a+C   The given differential equation is: dy-x-y+12dx=0 So, we…

Q: Find the value of x if mz1 = x mz2 = 2x – 10 mz3 = 2x + 10

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Q: Find the sum of the series. 2n n=0 6.

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Q: Solve the exponential equation algebraically. Round your results to three decimal places. Use a…

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Q: (a) Find the y intercept(s). (Enter your answers as a comma-separated list.) y = 675 (b) Find the x…

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Q: 2. Evaluate the following limits. 1-cos2z g. lim- 4z

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Q: A particle is moving on a straight line has acceleration a=5-3t and it's velocity at time=2. If s(t)…

A: Solution: a = 5-3t v(2)=7 s(2) - s(1)=?

Q: 3. x'sec?ydy – (1– 2x²tany)dx = 0

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Q: -4 X+

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Q: 47. Minimum material. A rectangular box with no top and two parallel partitions (see the figure)…

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