Use linear approximation to approximate 1.3 to 6 decimal places

Q: 3. Integrate 1 + x (4+x²)² S dx.

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Q: dy d²y dx² x = ² + 1, y = t² + 9t 2t +9 2t Find and dx dy dx || d²y dx² For which values of t is the…

A: Given query is to find indicated derivative and the value of t where curve concave up.

Q: N/m x 3/3/3 X تم تن + y = a3 Find dzy dxc

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Q: For the following function, a) give the coordinates of any critical points and classify each point…

A: Here we have to find the relative extrema.

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

A: Given,            The curve is y=4x32+5 and the interval is shown in below graph:           We know…

Q: Identify the coordinates of any local and absolute extreme points and inflection points. Graph the…

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Q: If f(x) = ln(x), then the estimation of the area under the curve y = f(x) between a=1 and b = 2 with…

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Q: 4. The sum of the surface area of two cubes in 300 cm². What is the minimum sum of the volume of the…

A: volume

Q: 19. 20. π/2 St sin7 x dx √t(t+1)

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Q: If the base of a solid is the circle x²+y²=64 and the cross-sections perpendicular to the y-axis are…

A: x2+y2=64there for base=2xx=64-y2base=2x=264-y2

Q: B) f(x)=6√√x² +2

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Q: Choose the correct integration method for this integral: 12x arctan(x)dx A Stan u du = -In | cos u +…

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Q: Problem 1.9. Find the following a) Arg(-6-6i) b) Arg(-) c) Arg(10i)

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Q: 6. f 2* cos(2¹) dx

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Q: Fin f'(x) when f(x) = (5x² + 1)².

A: To find the derivative of given function

Q: True or false: If f(x) = ln(x), then ƒ" (x) = - 1 x²

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Q: Evaluate this integral by using a substitution prior to integration by parts. 3 Sx√3-X 0 x dx

A: Given integral ∫03x3-xdx

Q: True or false: The linear approximation of f(x) = sin(x) at x = L(x) = 1 + cos(x)(x − 4 ) K|N

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Q: A bacteria culture grows with a constant relative growth rate. After 2 hours there are 600 bacteria…

A: Hey, since there are multiple subparts questions posted, we will answer at least three sub-parts. If…

Q: Find parametric equations for : a) the line through (4, -1, 2) and (1,1,5). b) the line through (1,…

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Q: 5. The rate of change of the population of moose, M(t), in the Boundar Waters Canoe Area Wilderness…

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Q: 7. Given the functions: f(x)=x²-2; g(x)=2x-4; h(x) == x=2; k(x) = ¹2; 9(x)=√x +2. x-4 x-2 Identify…

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Q: Find g' (9) given that f(9) = 5 and f' (9) = 2. Enter the exact answers. (a) g(x) = √√x ƒ(x) g′ (9)…

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Q: Find the vertex and intervals where f is increasing and decreasing given the function below, where…

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Q: True or false: de [In(10)] = 1/10 dx

A: Given query is to find statement is true or false

Q: The function given by ƒ(x) = (x² −3)³ has exactly one positive critical number. What is that…

A: Given query is to find the critical point.

Q: Problem #7: Find the value of Problem #7: Just Save Problem #7 Your Answer: Your Mark: (-1-√√3i)59…

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Q: If a=[5,-2,4] and [0,-2,3], find a -16 O [-2,15,10] [2,-15,-10] O [-2,-15,10] 10 xò.

A: a→=[5,-2,4]b→=[0,-2,3]

Q: In tracking the propagation of a disease, a population can be divided into 3 groups: the portion…

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Q: Which of the following is equivalent to the expression log7 (s) + 8 log7 (w) + log7(z)? log7 (sw8z)…

A: We have to solve given questions with the help of logarithmic properties.

Q: Find the nth Maclaurin polynomial for the function. f(x) = sec(x), n = 2 P₂(x) =

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Q: f(x) = x³-6x² +2 A) Relative Max: C) Critical Values E) Decreasing Intervals B) Relative Min D)…

A: Using the first derivative test, to solve the following problem

Q: Find the equation of the tangent line to the curve y = 8 ln(x³ — 7) at the point (2,0).

A: equation of tangent line is y=mx+cm=slope=dydxd dx(lnx)=1xd dx(xn)=nxn-1

Q: Sketch a graph of the vector then find the magnitude and direction of the angle. 45i - - 18j O 18…

A: Given vector:- 45i-18j

Q: Consider the function y = ln (x² + 1). dy dx Find the point on the graph of y = ln (x² + 1) where…

A: y=lnx2+1d dx(lnx)=1xd dx(xn)=nxn-1

Q: C) f(x) = (2+x)³ -(x²+4)²

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Q: The variable a varies jointly as b and c. If a =210 when b = 14 and c = 5, what is the value of a…

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Q: A6. Ms. Whitmell is trying to deal with a potato bug (AKA rolley-poleys or pill bugs) problem in her…

A: The population modeled given as P(t)=-8t3-12t2+288t+144, t≥0

Q: (a) Use the figure to find the value of Is f(x) dx = 2 [*₁ f(x) dx = -1 -2 3 -3 Y X 2 X [ co f(x)…

A: The graph is given

Q: if x³ = ate x3 IF 1/2+ ताल Find + y = = a ² Man if N/M d²x 04² d² day Find dx tind d²y y²

A: Since, you have posted multiple questions. As per guidelines we are supposed to answer only first…

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by y =…

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Q: i) What type of discontinuity occurs at x = -1? There is a name for this type of discontinuity. i)…

A: Graph of the function is given, we have to find the type of discontinuous at x=-1 and the conclusion…

Q: the general solution to the second-order differential equation d2ydt2-2dydt+10y=0 is in the form…

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Q: Find all points on the graph of the function f(x) = 2 sin(x) + sin²(x) at which the tangent line is…

A: For the following problem

Q: Given, y (9- 3x) ¹⁰ x² sin(7x) The first derivative Find g(x). g(x) = dz can be expressed as…

A: Given :y=9-3x10x2sin7x

Q: 17. S w³ew² dw 10

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Q: Write the function whose graph is the graph of y=f(a)=√ but has the given transformation. Shifted…

A: Given query is find the transformed function.

Q: S dx x √1+4x

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Q: 1 3 Let f(x, y) = xy Note: do not check a box if you are not a 100% confident. There is a penalty…

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Q: The area of the region enclosed by the curve x³ between 1 ≤ x ≤ 2 can be calculated Y by O a. O b. O…

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