Factor the following problem and show your complete solutions D32D²5D +6

Q: 1. x dy dx – 4у = х6 ex 9x

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Q: 1) State the order of the given ordinary differential equation. Determine whether the equation is…

A: Order is the highest power of the derivative Degree is the power on the highest power of the…

Q: Find the largest product the positive numbers x, y, and z can have if x+y+z² = 16.

A: x+y+z2=16Find the largest product of the positive numbers x, y and z.

Q: Find all critical numbers c of f(t) = 3t²/³ +t5/³.

A: f(t)=3t2/3+t5/3

Q: 2. Differentiate the following functions. a. b. Differentiate the following function. f(x) = 775…

A: (a) f(x)=7π6

Q: 8. Consider the gradph of the function f(x, y) = x² - 5xy given by z = x² - 5xy (a) ( (1,2). Find an…

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Q: A point is moving along the graph of the given function at the rate dx/dt. Find dy/dt for the given…

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Q: (c) Part of the graph of g(x) = x + x² is given below. Use calculus and algebra to find all possible…

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Q: dy dx y = u54 and u = 3x² - 2x² dy du du' dx Find and

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Q: Find f. f(t) f'(t) = t³ + -/-/7₁ t5 t> 0, f(1) = 4

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Q: Use the differential for ex^(2)-y^2 to approximate the value of f(2.1,0.8). Your answer may have…

A: The given function isTo find,f(2.1, 0.8)

Q: Express each function as a composition of two functions. (Find f(x) and g(x) such that the given…

A: We have to find the given function as a composition of two functions f and g.

Q: Determine if the series diverges. If it does diverge, type a upper case D as your answer, and if the…

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Q: Evaluate the integral by converting to polar coordinates. 2 √8-y2 S² S Y 1 √1+x² + y² dx dy= = 16pi

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Q: Consider the curve x²y + y²x = 6 A) Find in terms of x and y dy dx B) Write the equation for the…

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Q: Let g(x) = ² + 12 Ax² + B (x²+12) C A = B = C= = D = E = F = g"(x) = x(x² + E), where (+²+F)G where…

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Q: The curl of the vector function 7 = is: VXU=< 0,

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Q: Find a graph up and down from the equation g (x) = (x + 1) (x-2 )

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Q: Math 152 metric IHU 3. In this problem we'll evaluate the integral cos²(z) sin³ (2) dr. (a) First,…

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Q: . D11: I can use derivatives to solve optimization problems. (a) Part of the graph of f(x) = x + 2x…

A: The given function is

Q: Find the upper and lower sums for the region bounded by the graph of the function and the x-axis on…

A: To find the upper and lower sums for the region bounded by the graphof the function and the x-axis…

Q: The function f (x, y) = x³ - 3x² y + 3xy²-y3-11 22-2xy +49 y2 - 16 x + 208 y + 131 has a critical…

A: In this question, we will solve the all parts.

Q: ii) Read the graph below and say whether limx→-3 f(x) exists: y=h(x) -9-8-7-6-5-4-3-2 9876 8+ 7+…

A: This is question of calculusHere graph is given We have to find limit of function.Further…

Q: The radius of a right circular cone is increasing at a rate of 1.2 in/s while its height is…

A: given

Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. (If the…

A: Consider the series Sum of a geometric series

Q: Use Rolle's Theorem and a proof by contradiction to show that the function f(x) = 6x³ + 4x - 11 does…

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

A: Consider the sequence

Q: The indicated function y₁(x) is a solution of the associated homogeneous equation. Use the method of…

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Q: Evaluate the limit: limħ– →0 0-2 01/1/20 0 - 12/1/2 2 an ( 7 +h)-tan (7) h

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Q: The median home value in Texas and Missouri (adjusted for inflation) are shown below. Year Texas…

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Q: a. b. C. Find the derivative of the function. y = sin(tan(7x)) Find the derivative of the function.…

A: According to Bartleby answering guidelines, we can answer only first three subparts. Kindly post…

Q: Find the derivative b. y= sec^-1(2x+1) c. y=x^e^x

A: I have appended the formula used in the solution procedure.

Q: Evaluate the following integral, f (x - 5y) dx - 8y² dy where C' is given by x = y² + 6 from (7, 1)…

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Q: Consider the curve r(t): = og(t)i + e-tj+ + 5k for t > 2. Calculate limt →+∞ r(t) (if it exists). е

A: Find the limit

Q: Find the general solution: y" + 5y' + 5y = 0

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Q: [² f(x) dx = af (a) — ["² xf'(x) dx First use Integration by Parts. Then assume f(x) is increasing…

A: The given equation

Q: Given that (fog)(x)=x-8, which are correct rules for f(x) and g(x) that result in this composite…

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Q: Suppose $23,000 is invested in an account with an APR of 4.9%. If the interest is compounded…

A: Here we have, P=23000r=4.9%=0.049t=10 years.The compound interest is given by,

Q: Q9: Showthat triangle ABC is right at A where A(1,0,1), B(2,1,0), c (1, 2, 3).

A: Question No. (9):To show that triangle ABC is right at A where . Note: Since the student has posted…

Q: 2. Exponential Growth: The table below represents an exponential function. Find the missing values.…

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Q: H.W/ Maximize QuiZ 1/ 2= 80×1+ 60 X ₂ X₁ + X₂ 15 100. subj to: + X₂ 15 150 X₁ + 10X₂ If Boo الاحدا

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Q: Suppose T: R² R³ is a linear transformation. Let u, v and w be the vectors given below, and suppose…

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Q: 1. a = (2, 5, −4), b = (1, −2, −3) 2. a = (-1,0, 2), b = (3, 4, −5)

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Q: 1. If y2 = 10x, then A. - 5 2xy 1 C. -2232 2x d² y dx2 = B. D. - 1 5x 2y 5xy 2

A: Given,

Q: A bucket that weighs 3 lb and a rope of negligible weight are used to draw water from a well that is…

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Q: Find a formula for the nth term of the sequence where an is calculated directly from the value of n.…

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Q: The number of books checked out from the library from 25 students are as follows: 0; 0; 0; 2; 2; 3;…

A: Consider the data 0,0,0,2,2,3,3,4,4,5,5,6,7,7,8,8,8,8,10,10,11,11,12,12

Q: Express each function as a composition of two functions. (Find f(x) and g(x) such that the given…

A: We have to write the given function as a composition of two functions.

Q: At what point(s) on the curve x = 6t² + 9, y = t³ - 5 does the tangent line have slope 2 (x, y) =

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Q: c) On the cartesian plane below, put a point where the following coordinates are. a) A (-5, 4) m i…

A: Consider the figure