Use the graph to determine the domain a -16 -12 -8 X=-3 16- ¹12- 8- 12- y = 5 8 i x = 3 12 X 16

Q: What is the area of the region bounded to the right by = by x = y²? 543-2-1 2 3 4 5 O co/ co/ col∞o…

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Q: At an Oregon fiber-manufacturing facility, an analyst estimates that the weekly number of pounds of…

A: Note:- As per our guidelines, we are supposed to answer only one question with a maximum of three…

Q: 4. Show that 2y"-y'-y=0 when y=e* + e.

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Q: Find the linearization L(x,y) of the function at each point. f(x,y) = x² + y² +1 a. (1,1) b. (41)

A: Consider the formula for the linearization for any function linearization for two variables.

Q: Given f(x) = 2x² + 1 and g(x) = 4x - = 4x - 6, find the following. (a) f(g(2)) (b) f(g(x)) (c)…

A: Given functions are,Under guidelines we are suppose to answer only 1 or 3 sub parts.

Q: 2n+25n²+32n-15 The nth term of a sequence is represented by 6n²+2n³-11n²-2n+17 What is the limit of…

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Q: dQ Use the Chain Rule to find where Q=√√4x²+4y² + 2z², x = sint, y = cost, and z = cost. dt 7 dQ dt…

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Q: Use the partial-fraction method to solve the following equation. dy dx = (y + 5)(y-10), where y(0) =…

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Q: dw Use the Chain Rule to find where w = sin 8x cos 2y, x=, and y=t4. dt dw dt (Type an expression…

A: Using to chain rule :

Q: Find the first partial derivatives of the following function. 8u 5v + 7w F(u,v,w)= F₁ = Fu

A: given

Q: (b) Find an equation of the normal line to the given surface at the specified point. -([ = (x(t),…

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Q: While taking a walk along the road where you live, you accidentally drop your glove, but you where.…

A: p(x)=5e-5x for x

Q: Solve the following autonomous differential equation with the given initial condition. X = dx dt…

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Q: 19. 20. The interval where the curve y = a) x < 0 b) never The lim √x² − 1 = - x-1+ a) √16 b) -4 ex…

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Q: (x+1 ifx<1 (x²-1 if x ≥ 1 6. Determine the intervals where f(x) = are continuous. 5. Determine if…

A: According to the bartleby guidelines we supposed to do the first one of multiple questions kindly…

Q: Using the change of base formula, log47 = ? O log (7) log (4) O h(4) h(7) Olog (4) log (7)

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Q: Find the following derivatives. Z and Z₁, where z = ex+4y, x= 3st, and y=8s + 4t

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Q: Let f(x) = In(x) and g(x) = log2x. For all 0 g(x) O True O False

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Q: From the graphs of f and g in the figure, we find the following. (Assume that each point lies on the…

A: Given:We are required to find:

Q: Express the function F in the form f o g. F(x)=√x + 6

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Q: 6. The function f(x) is defined by the graph. State the value of each: e) lim f(x) = x →4 f) lim…

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Q: For what value of k the following piecewise defined function will be continuous? [k - 2 cos x, e4x+1…

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Q: A contour map for a function f is shown. Estimate the value of f(1,12) 30- 20 10- 70 140 2 210 3 280…

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Q: Find and simplify the difference quotient f(x + h) − f(x) for the following function. h f(x) = -3x +…

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Q: ) An object is pulled with a 5 N force at an angle of 30° to the horizontal. Find the horizontal and…

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Q: Suppose lim f(x) = = x→2 1/2 4 -5, find lim x→2 x²| ƒ(x) + 6 x - 1

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Q: Let f(x) = 2x² + x - 6. (a) Compute the difference quotient of f(x f(x +h)-f(x) h (b) Compute the…

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Q: Factor the following expression by grouping.   x3−2x2+3x−6

A: let

Q: What is the limit lim x→3 √x³ - 2-5 x - 3 3 27 10 9 10 +∞ Does not exist ?

A: Given

Q: Use the chain rule to find z = sin(8) dz дz and əs at r = st, 8 = s³ + ³

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Q: What is the component form of a vector with a magnitude of 17 and a direction of 125°? Show how to…

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Q: if both f (x) and g (x) are differentiable, then d d [ƒ(x). 9(x)] = f'(x). g' (x). O True O False

A: given both f(x) and g(x) are differentiable.

Q: Use the two-path test to prove that the following limit does not exist. v² - 2x² 4 lim (x,y) (0,0) y…

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Q: Find the Volume V(S) of the solid S generated by given R: R is the region bounded by y=6-x² and…

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Q: Find the value of c so that the function x² + cx if x 1 is continuous for all real numbers.

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Q: Find the limit or state that the limit does not exist. 2x²-2x-24 9-x lim X-3

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Q: f=i-j g= 12i+ 3j Find: -4f-10g

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Q: B Using the graph above, evaluate the following limit. lim f(x) 42- O PROF (A)1 (B) 2 (C) 3 (D) The…

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Q: Let g(x)=3x²-6x-5 Find a. g (-2) | b. g(0) c. g(-3a)

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Q: State the domain for the function f(x) = log6(-x + 5) + 4: O (-00, 5) (-5,00) O (-∞0,00) O (-00,-5)

A: f(x)=log6(-x+5)+4Find the domain.

Q: 5. y = x³ - 3x (-2,2) boak YA o divide t ✓ y = x (2, 2)in Figure

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Q: Determine the Cartesian equation of the plane containing these lines: y+10 z+2 L₁: = +70 = 23² and…

A: Normal vectorof the plane would be perpendicular to both the lines L1 and L2. So, parallel to L1xL2.…

Q: Evaluate: log,6 O -1.631 O 18 -0.613 1

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Q: Your answer is incorrect. Calculate the integral approximation Se for S₂ 75+1 dx. S6 = .01682

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Q: 2 Find the volume of the region bounded above by the paraboloid z = x² + y² below by the triangle…

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Q: 2. exp 2x²-8x+3 2 dx

A: Since you are asking the solution of question no 2 only. We are answering only the question 2.…

Q: Find the slope of the curve y = cos The slope of the curve is (Type an exact answer.) ¹x at √3 T 2'6…

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Q: Find the linearizations L(x,y,z) of the function f(x,y,z) = 6xy + yz + 7xz at (1,1,1), (1,0,0), and…

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Q: if f(x) True = False 1 {} if x # 0 if x = 0 2 then_lim ƒ(x) = 0 x 0

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Q: 1. Use the graph off to state the value of each statement if it exists. y = f(x)

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