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Q: We have determined that A = 36 and B = -6. Therefore, we have the following. A 6x + 1 30 (6x + 1)(x…

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Q: If f(x) = x¹ +3, g(x) = x − 9, h(x) = √x, then fogoh(x)=

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Q: Question 3. a. Use Cramer's rule solve the following system for x and y b. Let A - ( ₁ = 4 1 x - 2 x…

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Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

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Q: Find the arc length of the curve x = − Length = ▶ —4y³/² from y = 0 to y = 2.

A: Given here the arc length of the curve  in the interval  from

Q: Let f(x) = log6x and O True g(x)= For all x g(x). O False

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Q: 8. (a+b) The angle between vectors a=3 units and units anda is 90°. Calculate 5 to one decimal…

A: The angle between vectors  and  is 90 degrees.

Q: Let f(x) = 2.6x² :3 and 2 = x1 = y = 6.3x. Find the equation of the secant line on the graph of f(x)…

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Q: □ 3. Part 3 - Discussion Question Explain the difference between scalar multiplication and matrix…

A: This is question of calculusHere we have to differentiate between scaler multiplication and matrix…

Q: The DNA molecule has the shape of a double helix (see the figure below). The radius of each helix is…

A: The radius of each helix is about 10 angstroms(1 Å = 10–8 cm)Each helix rises about 34 Å during each…

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

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Q: Find parametric equations for the line tangent to the curve of intersection of the surfaces at the…

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Q: Salue the trig equations on 040127 1+COSA = =

A: 1+cos(theta)=1/2, 0<=theta=<2piFind the value of theta lies in the given interval.

Q: The weekly demand function for video game consoles is given by p=d(x) = 650 - 4x² where x is the…

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Q: Suppose Find: (a) (fg)'(5) (b) (f/g)'(5) = (c) (g/f)'(5) = = f(5) = 5 g(5) = 8 f'(5) = 3 g'(5) = 4

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Q: dN A chemical substance has a decay rate of 8.9% per day. The rate of change of an amount N of the…

A: Solving the problem

Q: Find the area of region bounded by generated curves. Do not forget to show your graph. 5. R is the…

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Q: Find the derivative of y = ln (5 cos¹0) O-4 tan 0 -4 cos³0 sin ○ 20 cos³0 O-4 cos²0

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Q: Using cylindrical shell method, find the volume of the solid S: R is the region bounded by x= y²+1…

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Q: X Find the derivative of y = x • xx−1 X. x ln(x) x* (ln(x) + 1) In(x) + 1

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Q: The total monthly revenue R(x), in dollars, generated from sales of Math t-shirts is related to the…

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Q: y"+4y'+4=e^(3x) solve this

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Q: Find the instantaneous rate of change for the function at the given value. f(x)=x² + 4x at x = 2 The…

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Q: Points 2₁ and 2₂ are shown on the graph. 5 2 -9-8-7-6 -5 -4 -3 -2 -1 -1 -2 -5 -7 Imaginary Axis 21…

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Q: up an integral that i represents the arc length of the function y = 5x4 + 5x from the point…

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Q: d dx [T"]

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Q: 5. The vertices of parallelogram ABCD are: A(3, -2, 4), B(-2, 0, 5), C(3, -5, -4) & D(x, y, z). a)…

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Q: Examine the function for relative extrema and saddle points f(x, y) = x³ 3xy + y³

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Q: limo|x|sin(cot(x))

A: We need to solve We know

Q: Monthly sales of a particular personal computer are expected to decline at the following rate of…

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Q: Given the function below, evaluate and simplify f(a + b). 2x x² + x (A) / (B) a a+b f(x) = (C) 2…

A: The objective of the question is determine the function f(a+b).

Q: x1 x³ - 1 D)] sin x - cos x 13. tan x - 1 Svig SIUSI PH e21 HI -1 15. lim lim x→/4 We

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Q: Find the indefinite integral and check the result by differentiating. 5x (5)dx S₂5x (5)dx=

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Q: Compute the surface area of the solid of revolution formed by rotating the bounded region formed…

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Q: (A) Find the average value of the function over the indicated interval. (B) Graph the function and…

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Q: 5.4 Find the first partial derivatives of f(x, y) = 4x³y² +9x²y + 10. af Əx 11

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Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

A: Given :- To find :- The value of the integral.

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Q: Calculate the iterated integral. [²(6x²y- (6x²y - 4x) dy dx

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Q: Considering the definition of f(x) below, describe f(x) at x = 2. x²+x-1 -2x² + 2x -1 2x + 1 Select…

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Q: 35. (²00 + 30 dv 37. f(x) dx where f(x) = 18 · 5² √ √ ²2² ²² dz 36. sin x cos x if 0<x< π/2 if n/2…

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Q: 1. Use the graph off to state the value of each statement if it exists. a. lim f(x) C. X→-1- b. lim…

A: Existence of limit at a point:We know that for limit to exist at any value of x, say x=c exists only…

Q: Find the area of region bounded by generated curves. Do not forget to show your graph. 9. R is the…

A: We are required to find:

Q: 9. g(s)-f(t-12) dr 11. 10. h(u) = dr dt F(x)=√1 + sect dr [" Hint: f√/1 + sec t dt = -√ √/1 + sect…

A: Let f be a continuous real-valued function defined on a closed interval [a, b]. Let F be the…

Q: f(x)= 72 X f'(x) = (Type an expression using x as the variable.)

A: We know that the defination derivative formulaf'(x)=lim_(h-&gt;0) (f(x+h)-f(x))/h

Q: Given that 5 -3 5 1 -1 M = 0 ONM = ONM = ONM and N = - 19 20 -17 0 [41] 4 -1 1 [20 [198] 20 -18 119…

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Q: Evaluate the integral. 6² tep 1 30 6x² + 7x + 1 [² The integrand of x6x² + dx 30 6x² + 7x + 1 x7 x +…

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Q: f dy fer, dx

A: In this question , we can change the order of the integration.

Q: R be the region bounded by the graph of y = 5√√x + 3, the x-axis, the y-axis, and the line x = 4.…

A: According to guidelines we solve only first question.

Q: (2) True or False: a) Local extrema can only occur at critical numbers.__ b) Everywhere there is an…

A: As per bartleby guidelines only one question is allowed to solve with maximum 3 sub parts , so here…