1. Find the area bounded by the graphs of y = 6 + x, y = x', and y breaking the region into two subregions. -1/2 by %3D

Q: (а) (5х* - 4x? +5)dk (b) S(2x+1)(3x – 7)dx

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Q: B. Solve the following problems using differentials and linear approximations. Show complete…

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Q: Q4) Find for the following functions ( dx 4. coth(ln x)

A: Dear learner, As per our guidelines we can provide the solution for first one only. Kindly post…

Q: Find the area enclosed by the curves y = y = 2 1- 9x2 2n B 3 D 6. [+

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Q: az 9- z2 – 2xz 16 find | ax ду at the point (1,1) 10- x+ 2xy – y² = 2 find ax 11- Find The slope of…

A: 9)z2-2xz=16differentiating w.r.t. x;2z ∂z∂x-2z(1)-2x ∂z∂x=0(z-x)∂z∂x=z∂z∂x=zz-x

Q: On each interval, determine whether the graph of f(x) is concave up or concave down. From x=1 to…

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Q: t the end of 8 years, Beth will have approximately S Do not round until the final answer. Then round…

A: Use half yearly compounded formula.

Q: Problem: At time t = 0 there are 10 person in a community of 1,000 people who has the flu.…

A: Required formula:  Logistic growth model: Nt=K1+K-N0N0e-rt Where,  r = Exponential growth rate…

Q: If C denotes the curve parametrized by x = t, y = 2t2, z=t°, 0 <t < 1, then fx dz +y dy + z dx C O…

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Q: Determine the intersection point of the two lines or show that they do not intersect. a. The line…

A: Given problem:- Determine the intersection point of the two lines or show that they do not…

Q: Determine whether the function is one-to-one. {(2,6). (3,9). (– 7,3), (1, – 5)} Is the function…

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Q: 9 Select the conic section represented by the equation. 4y - 3 = 0 parabola line ellipse…

A: We will find the conic section which is represented by the equation.

Q: Calculate the first, second, and third derivatives of = x' e2x (Use symbolic notation and fractions…

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Q: Jan paid Php 9,250 on a loan made 6 months before at 12% simple interest. Find the interest…

A: Amount Paid after 6 months= 9250 rate of interest=12%=0.12 Recall: Amount after time t years…

Q: Prove that lim 1 1 by definition.

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Q: 1 2 1 | | (x² + y»2 + z²)dzdydx lo Jo

A: To evaluate the given triple integral: ∫-10∫02∫01(x2+y2+z2) dz dy dx=∫-10∫02∫01(x2+y2+z2) dz dy…

Q: Q2 Obtain the general solution for the following differential equation. (a) y" – (a + B)y' + aßy = 0…

A: given

Q: dx Va - x2 we may use x= and dx= substitutions to reduce the integral to San do. This step requires…

A: To complete the following statements.∫dxa2-x2we may use x=? and dx=?substitutions to reduce the…

Q: 1. Find the exact x-values of any turning points and the exact x-values of any points of inflection…

A: According to our company's guidelines I can only answer first question, since you have asked…

Q: 3 Evaluate lim et dt. e-t dt. 20 O a) -2 O b) 2 e O) 2 O d) 2 e e) None of these

A: Giveen query is to find indicated limit.

Q: Question The radius of a sphere was measured and found to be 2.0 cm with a possible error in…

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Q: dy Q4) Find for the following functions dx 1. y = 2x + e2x-1 2. y = sec x tan x 3. y = t² + 2t t =…

A: Given

Q: Given the e dz nd y, find ar

A: Given: xlny=zArctan3zy

Q: The line given by r (t)=(14+5t, -3t, 1+7t) and the line given by r(t) =(3-3t, 5+2t, -2+4t).

A: Follow the procedure given below.

Q: Match the vector field with its graph. F(x, y) = yi 5 -5+ 5 5 -5+

A: Given data÷

Q: Use the method of Lagrange multipliers to find the dimensions of the rectangle of greatest area x?…

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Q: Given that i = and i = and that i • v = 188 determine the value of the constant A.

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Q: d) Classify the differential equation as separable, exact, homogeneous, or Bernoulli. The equation…

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Q: Question 1 Area bounded by the curves y=e", y=e", x=0 and x=In2 A 604/9 B 502/9 304/7 304/14

A: Ara of the above bounded curve is given by

Q: Find the inverse laplace of s+3 s2-8s-9

A: Given,  s+3s2-8s-9

Q: 10 Select the conic section represented by the equation. y 2 - x = 0 parabola line circle…

A: y2-x=0⇒y2=x Recall: y2=4ax with a&gt;0 is the general equation of the open right parabola given…

Q: Find the exact arc length of the curve over the stated interval. y = 3r/2 – 4, from z = 0 to r = 1…

A: The curve y=3x32-4, from x=0 to x=1

Q: 8. Let 7 (t) = < - 2 cos(8t),- %3D Find fF(t)dt (don't include the +C) frona -

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Q: Solve the following problems using the concepts of Parametric Equations. Show complete solutions.

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Q: :Q1 Solve the second order differential equation Y" – 5Y' + 9Y = 0

A: Here we have to solve second order differential equation.

Q: Let i = and v =. If ü xi = then determine the value of 3A+B+C.

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Q: Find the tangent equation for the function: f(x) = Vx2 +5 at x=2? Find the limits by using L.Hopital…

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Q: B. Solve the following problems using differentials and linear approximations. Show complete…

A: Let's find.

Q: Q1) A) Find the tangent equation for the function: f(x) = Vx +5 at x-2? %3!

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Q: 2. The population of a city grows from a initial size of 1000,

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Q: Determine if the sequence {a,} converges or diverges. Find the limit if the sequence converges. 4-…

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Q: 1) Write the next four terms of the sequence: {42, 35, 28, 21, ...}. Express the nth term of the…

A: we have to slove the above question and find next four terms of the sequence

Q: 4x3 - 6 Find the differential dy of the function y = %3D 4 2x Provide your answer below: dy = dx *…

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Q: Give the truth value of the sentence - (2 > 3) – (3 > 2) -- (3 > 2).

A: Let's find.

Q: (a) y= (x + 1)? O III OIV (b) y (x- 1)2 01 O II O IV (c) y-x - 1 O II OIV (d)

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Q: B) Find for the Implicit function: dx x² - sin(xy) + y² = 5xy

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: find the equation of the tangent line to the graph of the logarithmic function at the point (1,0)…

A: Given problem:- find the equation of the tangent line to the graph of the logarithmic function at…

Q: Q3) A) If you have three functions: f(x) = x2 – x %3D g(x) = 3x – 1 %3D w(x) = x2 – 2 So, find gof…

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Q: Consider the function f (x) = - 3x³/% Which one of the following is true? O a) f is decreasing when…

A: If f'(x) &gt; 0 for all x in an interval I, then f(x) is increasing over I. If f'(x) &lt; 0 for all…