Which of the following is not a possible zero of f (x)=2x-5x+12?

Q: (a) Find an equation of the tangent plane to the surface at the given point. x + y + z = 10, (3, 3,…

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Q: dA when r = 2. dt dr Let A be the area of a circle with radius r. If = 2, find dt

A: Area of the circle with radius r is given by;A=πr2differentiating w.r.t time,dAdt=2πr drdtWhen r=2…

Q: find the tangent to the curve f(x)e%*-2% at X=-1. Express answer exactly in terms of e (not a…

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Q: dx xVx -1 6.

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Q: The definite integral of f(t – 1)dt = f dv is v – v. =t2 – t - t %3D %3D O True O False

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Q: (ii) Using the result of the derivative above and the fact that integration is the antiderivative…

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Q: Find the gradient of the function at the given point. f(x, y) = 3x + 4y2 + 10, (3, 4) ∇f(3, 4) =

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Q: first principles. (i) x² (ii) e* (ii) log (x+ 1)

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Q: A culture initially has 700 number of bacteria. At 1=5 hour the number of bacteria is measured to be…

A: The differential equation that describes the given model can be solved by using the variable…

Q: dy cos x + (sin æ) y = 9 dx y = 9 sec - C cos æ y = 9 sin a ++ C cos x y = 9 sin? x + C cos æ y = 9…

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Q: in Exercises 22-26 solve the initial value problem. 22. y"-7y + 6y = -e*(17 cos x -7 sinx). y(0) =…

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Q: -1 Sketch the function fx) = indicating any extrema, points of inflection, and vertical asymptotes.…

A: Follow the procedure given below.

Q: Solve the differential equation with appropriate method. Finalize answer free of fractions and…

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Q: Integrate the ff.

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Q: If C(x) is the cost of producing x units of a commodity, then the average cost per unit is a(x) =…

A: Use the basic concepts of the average and marginal costs.

Q: Find an equation of the tangent plane to the surface at the given poin h(x, y) = In Vx2 + y?, (6, 8,…

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the eract answers in terms of i,j…

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Q: Given sin(1 - 2). y z = sin(1 – x = 2 – ts and y = 2t – s z = sin( 1 dz then calculate * when t = -1…

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Q: ylz)=e y(-2)=:

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Q: v=(5,1,-2), w=(4,-4,3) find the angle of 0 between the vectors v and w.

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Q: Find the derivative of the following using General Rule. 7) y = vt3 8) f(x) = 6 + 5 1 9) y =-+ 2 x3…

A: We have to find derivative of Given function.

Q: Let v = (5,1,-2) and w =(4,-4,3). Calculate v w.

A: Given,v=5i+j-2kw=4i-4j+3kWe know that if (a1i+b1j+c1k).(…

Q: Determine whether each improper integral below converges or diverges. dx 3. S 0 x* + 2x – 3

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Q: C/4 41. (x³ + x* tan x) dx 7/4

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Q: Use separation of variable or homogeneous equation to get tye general solution for each differential…

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Q: The volume V of a nght circular cylinder of radius r and height h is V= 7rh. (a) How is related to…

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Q: 18 1. Given the graph of the function y, determine the (Note: The curves between x = 4 and x = 6,…

A: Find your answer below

Q: SOLVE the following DIFFERENTIAL EQUATIONS using appropriate method. 1. (3x'+ 2y)dx + 2xydy=0

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

Q: y, = x2 + 2x + 2 Y2 = 2x + 18 dx 25- 20 15 y 10- 5- 6.

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

A: As we know that; The expression for the volume of the revolution of the function y=fx from x=a to…

Q: 2 : x = 1 + 3t, y = 3 – 6t, z = 5 – 3t are parallel and find the distance etween them. FOTE: Enter…

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (19, 5, -1) Vw(19, 5, -1) =

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Q: )

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Q: - 4

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Q: | cos(V) dx 2 Vx sin (Vx)-2 cos (Vx)+C C 2 Vx sin x (Vx)-2 cos (Vx) + C 2 Vx sin (Vx) + 2 cos (Vx) +…

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Q: Given f(x, y) = In(3x² + 5y²) then af dx

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Q: An equation relating demand q and price p given. Compute the elasticity of demand for the given…

A: We will find the elasticity.

Q: Given that Vf (7, -9) = 11 i – 6j, find the directional derivative of the function f at the point…

A: Given,           ∇f7,-9=11i-6j.            The function f at the point 7,-9 in the direction of…

Q: A robotic machine fills containers with an acid solution at the rate of 150 + 4t milliliters (mL)…

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Q: Evaluate the following limit: lim (7,y)→(0,0) 5æ6 + 6 sin°(y) 14x6 + y6 3 4 11 15 2 3 The limit does…

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Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (19, 5, -1)

A: To find the gradient of the function at the given point.

Q: Find the vector component of v = 2i – j + 3k along b = 2i + 3j + 6k and the vector component of V…

A: Given : v=2i-j+3kb=2i+3j+6k   To Find : a) vector component of v along bb)vector component of v…

Q: x2 sin x+2x cos x f'(x) = cos²x

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Q: SEATWORK Solve two problems; one problem from #1 and one problem from #2. Submit clear and upright…

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

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Q: x sec (3x) tan (3x)dx

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Q: Determine that area. 4. A solid is obtained by rotating about the x-axis. The curve is given to be…

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Q: Find the integral of the following

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: (5x) сos (Зa')dx COS

A: LetI=∫cos5xcos3xdxI=12∫2cos5xcos3xdxWe know…