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Q: Analyze and sketch the following curves.Indicate the intercepts, asymptotes, and critical points

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Q: Solve the equation: y" - y" -2y' = 0 Oy=c₁e* + c₂ + c3e²x y = ¢₁e²^³ + c₂e³ + c3e²x O

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Q: E = 5 -2 -4 3 2 2 -4 -4 -4 0 -3 2 3 2 4 4 -2

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Q: Given f(x,y) = 6x^2 - 2x^3 + 3y^2 + 6xy. Determine any local maxima, local minima, and saddle…

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Q: Assume A = 21 2] and B = 1 3 [43] [4 3 11 7 6 show that (AB)' = B' A'

A: Given matrices A and B, To show that AB'=B'A'

Q: find the general solution of the given equation. y''+2y'+6y=0

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Q: cos(B) = −³, π< ß < 2π.

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Q: Find the area contained between the two curves y = 3x - x² and y=x+x². 71/6 81/5 91/4 62/3 None of…

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Q: A bacteria culture initially contains 1000 bacteria and is growing at the rate of N' (t) = 2tt-2/3…

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Q: Find the general Solution of the complement of the following differential equation y" - yy) +y =oy=0

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Q: B. Find the extreme values on the given closed interva 1. f(x) = 4x - 3; [1,5] 2. f(x) = x + 8;…

A: follow next step

Q: Solve for the slope of each of the given point of a function

A: Given that,

Q: 13. In |z|

A: It is depend upon the property of complex number and thier Logarithmic.

Q: What is the exact value of sin(67.5°)cos(22.5°)?

A: Solution-

Q: B. Find the derivative of each of the following functions. 14. f(x) = x² + 5 3x + 2

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Q: Use integration by parts to evaluate the integral. [2xe™x dx dx = [2xetx

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Q: Using integration by parts for getting the integral of ex cos 2x will give way to another…

A: To find  ∫excos 2x dx we use the integration by parts and it will give another integral in which we…

Q: (4) Let A be a nonempty subset of a bounded set B. Why does inf A and sup A exist? Show that (a) inf…

A: Let A be a not empty subset of a bounded set B.why does inf A and sup A exist? Show that a) inf…

Q: 3. Find f'(a) if f(x)= e7x 2x + sin³ x

A: In this question, we want to differentiate the given function f(x) with respect to x.

Q: Evaluate fx² cosh x dx

A: To evaluate the integral.

Q: The integral of sin x³ dx is cos x + Option 1 cos³ x 3 + C cos x + Option 2 cos² x 2 + C

A: Given ∫(sinx)3dx=∫sin3xdx

Q: 1. Simplify. Write "undefined" for expressions that are undefined. -3 1-6 0 {}} 4 3 5 3 4.) +

A: To simplify the given expression.To write "undefined" for expressions that are…

Q: If the present value of an item is P and we experience an inflation rate of r for t years, what will…

A: solving the problem by finding the value of the future value.

Q: Graph two full periods of the function f(x)=cos(4x) and state the amplitude and period.

A: Given problem:- Graph two full periods of the function f(x)=cos(4x) and state the amplitude and…

Q: 4. The boundary of a field is a right triangle with a straight stream along its hypotenuse and with…

A: answer is in next step.  please give a like !!!!

Q: The function z(x, y) obeys, = -2e Which of the follow represents a valid first step for finding u(x,…

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Q: Typewritten for an upvote. No upvote for handwritten. Please skip if you have already done this

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Q: Use double integration to find the volume of the solid on the first octant enclosed by the curves x²…

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Q: Determine the constants c and d in the equation of the curve y = at (0, -1) and an inflection point…

A: This question can be solved using the concept of functions and derivatives.

Q: Find the domain of the function of 5 log₂ (4-x²)+11 f(x) = 12x-31-2 + sin¯¹(1 − 2x) Express your…

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Q: 1. What is the smallest number that can be exactly divided by 2, 3, 4, 5 and 8? 120 20 12 24 2. What…

A: A detailed solution is given below.

Q: Evaluate the double integral: r2 Y To 0 √y¹/3 x7 +1 (Hint: Change the order of integration to dy…

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Q: Using the Law of Sines to find a triangle with one obtuse angle if ZA = 50°, a= 23, b = 25. If no…

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Q: b. SSR ехту dA_ where R = {(x,y) | − x ≤ y ≤X, 0±× 6 2}

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Q: Convert the Cartesian coordinate (-1,-4) to polar coordinates, 0≤ 0 0 Enter exact value. 0-

A: Given, (x,y)=(-1,-4)

Q: 3. 2x − y = 4 at point (0,−4)

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Q: 3. Use the cross product properties to prove the relation (a - b) × (â+b) = 2(â × b) given a = (1,…

A: Given,a=i-3j+2kb=-2i+0j+k

Q: B. Find the derivative of each of the following functions. - 3 15. f(x) = x² = ³ 2x - 1 16. x² -5x +…

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Q: A particle moves along a straight line from the origin (at t=0) with the given velocity v. Find the…

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Q: 1) If y = (x − a)√/2ax - x² + a² sin a is constant. sin-¹(*), then y' = 2√/2ax - x² a

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: f(x) = x²+3x x+3 "2"⁰ 24

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Evaluate: √x(x - 5)dx Solution: √ √x(x - 5) dx = f x²(x - 5) dx by law of exponents/ = f (x² - 5x)…

A: Given problem:- ∫√x(x-5) dx

Q: 1. Evaluate L²S³ (2y³ + x²y) dx dy

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Q: Evaluate SSA, dA, where R is the region bounded by y=x2 and x = y² in the first quadrant. X

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Q: Given Cost and Price (demand) functions C(q) = 120q+40000 and p(q) = -2.4q+800, what profit can be…

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Q: 2. Evaluate the following 3. S²³S² (5x³y² + 3x) dy dx 3 3 9. O

A: ∫03∫01(5x2y3+3x) dy dx

Q: Use Cartesian coordinates to set up the iterated double integral given by [[[ y² dV D where D is the…

A: Given problem:-

Q: 6. If If vectors (5,2,-1) × (2,-1, a) = (5,-12,-9) then determine the value of a.

A: Given: 5,2,-1×2,-1,a=5,-12,-9

Q: Find the average value of the function on the given interval. f(x)=√√x+3; [1, 13] (Type an integer…

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Q: Find the general and Singular Solution o the Following differential equation yLny = xyP+ P²

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