An expression that occurs in calculus is given. Factor the given expression completely. 2(3x-4) 3(2x+1)³+ (3x −4)²·3(2x + 1)².2

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A: NOTE: Refresh your page if you can't see any equations. . here the coefficient of x2 is positive,…

Q: 1. dy = e3x+2y dx

A: Given dydx = e3x+ 2y

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A: To find the given line integral.

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A: Riemann sum of ∫abf(x)=limn->∞∑k=1nf(xi)∆x, where ∆x=(b-a)/n

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A: NOTE: Refresh your page if you can't see any equations. . here we have a=1.9 and b=0.1

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A: Given curve:- x2=6y Let slope of tangent line to curve =m

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Q: Find a polynomial f(x) of degree 5 that has the following zeros. 0, 9, 8 (multiplicity 2), -2 Leave…

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Q: 2 2 (2² * = ³) - ² (²3) = ( % -3²) 2 X 4 -6 8 a. b. C. 486 9

A: Topic:- application of algebra

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A: We have to find the partial derivatives and crtitical points.

Q: find the exact solutions of this equation, in radians, that lie in the interval [0, 2π ).

A: Giventanx2=12cscx   We are required to find x such that x∈[0,2π)

Q: 1. Sketch the following vector fields (a) F(x, y) = 2i+y²j (b) F(x, y) = Vf where f(x, y) = 4x² + y²

A: Solution: Given data, a)F(x,y) =2i+y2j

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Q: Answer each question appropriately. 29) Find the standard equation for the positions of a body…

A: Given d2sdt2 = a dsdt = v0    when t = 0 s = s0  when t = 0

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A: According to question,Given Functionfx = x53-5x23

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A: Here we have to choose the correct option.

Q: D 8 (2 sin x cos x) (csc (sin³x + 1))

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Q: 2. Find the arc-length parameterization for r(t) = (t + 3,2t - 4,2t), t≥ 3.

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Q: Without doing any initial algebraic manipulation, select all the functions for which you would use…

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Q: d the equation of the tangent line to the curve at the given point using implicit differentiation.…

A: Given query is to find the equation of the tangent.

Q: 14. In a murder investigation, the temperature of the corpse was 32.5°C at 1:30 PM and 30.3°C an…

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Q: Find values of a and b, for which the following vectors are parallel: (8, a + b, 6), v = (4, 3, 2a —…

A: Given:   u = ⟨ 8 , a+b , 6 ⟩     v = ⟨ 4 , 3 , 2a - b ⟩

Q: (b) fx d -2

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Q: Let F = (3yz)i + (7xz)j + (7xy)k. Compute the following: A. div F B. curl F 0 =0i+ C. div curl F j+…

A: As we know that, The expression for the divergence of the vector point function F→=F1i+F2j+F3k…

Q: Simple Math? How many cubic feet is a box measuring 18"x18"x16"?

A: Given query is to find the volume of the box.

Q: Find an equation of the tangent line, at the designated point, to each of the following: a) f(x) = x…

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Q: A jet is flying through a wind that is blowing with a speed of 45 mi/h in the direction N 30° E (see…

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Q: Evaluate the following limit. Enter an exact numeric answer. To enter ∞o in your answer field, .…

A: limx→-4x+4x2-16∂ xn∂x=nxn-1when we put x=-4  it is 00  form use l'hospital rule to find limit

Q: BOTTOM LINE What is the average velocity of a particle with velocity v(t)=4-t² ft/s from t = 1 to t…

A: NOTE: Refresh your page if you can't see any equations. . the velocity function is the given…

Q: (4) (a) Determine the a,, so that the equation Σ' (b) Try to identify the function represented by…

A: The given equation: ∑n=1∞nanxn-1+2∑n=0∞anxn=0

Q: Find the indefinite integral. (Use C for the constant of integration.) cos5 t 1= sin t dt

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Q: 28. Swimming speed of fish For a fish swimming at a speed v relative to the water, the energy…

A: We need to determine value of v and sketch graph.

Q: Consider the function f(x) = 3 - 6x², -5 ≤ x ≤ 1. The absolute maximum value is and this occurs at x…

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Q: Find dy/dx for y= square root of u and u=x2+6.

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Q: Consider the following parametric equation. a. Eliminate the parameter to obtain an equation in x…

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Q: The radius of a spherical tumor is growing bycentimeter per week. Find how rapidly the volume is…

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Q: The cost function for a certain commodity is C(q) = 86 +0.14q-0.008q² + 0.00049³. (a) Find C'(100).…

A: the cost function for a certain commodity is C(q) = 86 + 0.14q - 0.008q2 + 0.0004q3C'(q) = ddqC(q)

Q: Solve for x the equation log_3⁡ (x^2+17) - log_3⁡ (x+5) - 1 =0

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Q: Suppose f(x) is continuous on [3,7] and −5 ≤ f′(x) ≤ 5 for all x in (3,7). Use the Mean Value…

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Q: 0 Question 18 Find the following for the equation f (x) = -x² +9x - 8 Write infinity instead of…

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Q: Find the magnitude and direction (in degrees) of the vector. (Assume 0° ≤ 0 < 360°.) v = 9i + 3√3j…

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Q: The demand curve for a product is given product.

A: Given Demand function ,  q = 800 - 5p2where p is the price

Q: Find by implicit differentiation, given that z²y – 5y4 – – 1. Your answer could involve both and y…

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Q: A migrating salmon heads in the direction N 45° E, swimming at 3 mi/h relative to the water. The…

A: A migrating salmon heads in the direction N45°E, swimming at 3 mi/h relative to the  water. The…