dx *√x2 - 1

Q: Determine the point(s) at which the graph of -7x √ 2x - 1 f(x) = has a horizontal tangent.

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Q: Matrix A = [13],find Eigen values of 4².

A: First of all we will find A to the power 2, then we will find eigen values

Q: Let g(x) = cos(x), and h (x) = -3x4 - 17x³ - 4x² +92x + 113. If f is a function such that g (x) ≤…

A: This is a problem related to sandwich theorem of the limit. Please follow the procedure given below.

Q: Find g'(x) if g(x) = logx(3x)2. 2 In x 3 In²x 8'(x)= 2 In 3 x In²x 2 In 3 x In²x 8'(x)=- 2 lnx 3…

A: You need to simplify the expression of g(x) first and then differentiate that.

Q: lim1 X→0 limx X-0 1 The function f is defined by lim lim x 0x x0x lim x→0 x² +1 X lim x→0 x²-1 f(x)=…

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Q: Use symbolic notation and fractions where needed. Give your answer as the coordinates of a point in…

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Q: What happened to 4/3? (exponent in numerator).

A: Let's solve given integration.

Q: 2. Newton's law of cooling states that the temperature of an object changes at a rate proportional…

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Q: 49. ∞ Σ n=4 1 n2 – 9

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Q: To balance the chemical equation Fe2O3 + CO → Fe + CO2, you could introduce coefficients a, b, c, d…

A: The objective of the question is balancing the given equation.

Q: n=3 3n+ 5 n(n − 1)(n − 2)

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Q: onsider the function g(x) = 5 - 4x + x² If the lim g(x) = 1, then what is the value of a x→a 0 1 O-2…

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Q: 8) f(x)= x³ + x²; Find f(-6) 3120 - x; Find w(-4) 10) w(x)=-3x²- (2--2-2; Find 12) h(x) = 4x + 3;…

A: We can evaluate each of the function in the below steps.

Q: Let lim g(x) = L. Which of the following is necessarily true? A (В D g(x) is continuous at x = a…

A: Given: The given limit is limx→agx=L To find: we need to find the necessarily true statement about…

Q: Using the equations below, what is the value of Y, C, T? -0.2 Y + T = 20 -0.6 Y+ C = 70 Y C = 30

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Q: A bucket is filled with sand so that the total mass (sand and bucket) is 10 kgs. The bucket is to be…

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Q: sec² y(tan y-1) (tan y+3)* (tan y—5) 4 1

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Q: PROBLEM 1 [DOMAIN OF FUNCTIONS]: Find the domain of the function: sin 3x √x²+4 f(x)=

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Q: (x+3)dx 1-x2

A: The answer is given below

Q: The differential equation 3 (3x² + y2) dx-2xydy=0 is homogeneous of what degree? A) 4 3 (C) 1 2

A: The explanation of answer as follows

Q: Graph the set of points of discontinuity for the following function: 1 f(x, y) xy+6

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Q: : Solve the following first-order differential equation 2x³y' = y(y² + 3x²).

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Q: For the function f whose graph is given, determine the following limits. a. lim f(x) x-4 d. lim f(x)…

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Q: For the function f graphed in the accompanying figure, find the following limits. NOTE: If a…

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Q: Question 8 What is the order of the differential equation .x²dy/dx - 2xy"=0?? A) 1 B 2 3

A: The order of the given differential equation is 2

Q: y=2coshx; y"-y=0 y'

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Q: Parametrize the intersection of the surfaces x² + y² = z², 7y = z² using t = z as parameter. (Use…

A: We have given to find parameterize the intersection of surfaces From question we have given…

Q: k=0 k k + 10 k

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Q: The curve y²-x²= -5x is a solution to the differential equation y'= (2x - 5)/2y A) FALSE B) TRUE

A: The answer is given below

Q: 56. 6. -2/√3 dx -2 |x|√x²-1 [²

A: Solution is given below:

Q: dz If z = f(x, y) = x² + 2xy² and (x(t), y(t)) = (cos 2t, 2 sin t), use the Chain Rule to find…

A: We have to use the chain rule for finding the required derivative

Q: 21. cos(sin-¹)

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Q: Which is NOT a solution to the differential equation y''- 4y + 4y=0? A B D y=e (E 2x Ⓒy=2e There is…

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Q: n Problems 7-10, x = c₁ cost + c₂ sin t is a two-parameter amily of solutions of the second-order DE…

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Q: 18 n=1 n 10⁰ 2n²

A: Recall: Ratio test

Q: √3 Find x when sinx = -1 2 between [0,360]

A: Given, sin(x)=-32                 x∈[0°,360°]

Q: If x = √x^5y^5 + x^2y + xy^2, find:   zy zxy

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Q: 2 P(x)=x-5x + 2x+8 = (x − 4)(x − 2)(x + 1)

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Q: 20) f In x x√4 lnx-1 dx

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: 3. Without using technology, find the length of the piece of y = x³/2 from (1, 1/3) to (4, 8/3).…

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Q: 1. a. cost cos4 t sin³ t dt 1 1 cos't+cos³t 5 1 1 b. cos't-cost 1 cos't+=cos5t 5 1 d. -cost-cost 5…

A: 1) ∫cos4(t)sin3(t)dtLetI=∫cos4(t)sin3(t)dtI=∫cos4(t)sin2(t)sin(t)dtWe know that…

Q: 20.fe* √3-4e2x dx

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: For the pair of functions f(x) and g(x), find and fully simplify the following. f(x) = 3x - 15; g(x)…

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Q: 5) Find the following by using the partial fraction method ii) y²-2y + 1 (y² + 1)² pro dy (2012)

A: The given integral is (y2-2y+1)/(y2+1)2. Repost the next parts.

Q: The following function expresses an income tax that is 20% for incomes below $5000, and otherwise is…

A: To find out the taxes

Q: Use the graph of the function f shown here to evaluate the following expressions. ĭ -3-2 YA 5 8

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Q: The curve y²-x²= -5x is a solution to the differential equation y = (2x - 5)/2y (A) TRUE B) FALSE

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Q: A corporation recently sold zero-coupon $700 bonds maturing in 3 years with an annual yield of 8%.…

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Q: Question 7 What is the auxiliary equation associated with the differential equation y'"'- 3y + 4y=0?…

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Q: a) Calculate the derivative of: f(x) = 2³.cos(3x²) - sinh(3x + √x) b) Give the tangent in the point…

A: solution is given below...