Solve the diff eq. (Homogenous) dy dx + x²(y² + 3) y(x³ + 1)

Q: Consider the function defined as follows: f(x) = 5x² f(x+h)-f(x) and completely simplify your…

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Q: Make a table of values for the equation. y = x² - 5 X -2 -1 0 1 2 у Sketch a graph of the equation.

A: The given equation y=x2-5 we have to sketch graph of the equation Note:    Multiple questions are…

Q: 3) Prove that : tan z = 올n(부를) In

A: To prove the given identity.

Q: Let limx-2 f(x)=-3, and limx-2 g(x)=4, Find limx-2 [f(x)/5g(x) +2f(x)g(x)]

A: Topic = Limits

Q: 6. Determine whether the vector field is conservative and, if so, find a potential function. a. F(x,…

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Q: Find values for c and d that make h(x) continuous. ۱۱ - c=d=0 2x h(x) = cx²+d O c = 2 and d = 0 O c…

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Q: 10. Use the squeeze theorem to find lim f(x) if 2x+2 ≤ f(x) ≤ x² +3. x-1

A: Given: Use the squeeze theorem to find limx→1f(x) if 2x+2≤f(x)≤x2+3

Q: Use the graph to find the average rate of change. 5) Monthly Cellular Phone Charge in Dollars 80+…

A: To find average rate of change of given function through its graph.

Q: Which of the following is/are signified by lim f(x) = ∞00? I a As a approaches a, the value of f(x)…

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Q: 10. A particle moves on the x-axis so that its position is continuous on the interval [3, 13] with…

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Q: 18. lim h→0 2 √4+h h - 1

A: Note: Since, the student has mentioned to solve only question no. 18, so we are solving accordingly…

Q: 6. x = c₁ cos tot + c₂ sin cot; w a parameter.

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Q: Determine the set of x-values where f(x) = 8x² + x - 8 is continuous, using interval notation.

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Q: Make a table of values for the equation. 3x - y = 5 X -2 0 2 4 у

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Q: Find the following limit. Answer as either an integer or a fraction. (No decimals.) Enter INF for…

A: The limit is given by limx→1x-1x2+7x-8 To evaluate: The value of the limit

Q: Show that convolution with a given function f commutes with differentiation; that is, show that…

A: I am attaching image so that you understand each and every step.

Q: Find the next three items in the pattern. Be sure you understand (can justify) your reasoning. A0,…

A: As per Bartleby answering guidelines if a questions has multiple sub parts then an expert is…

Q: y C (0,4) O R₂ y = 4√x R3 y = 4 x R₁ B(1,4) A (1,0) X

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Q: Given the equation x2+z2=7, write an equation for the cross section at y = −7 using x and z. Can you…

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Q: Prove that tan'z= let% 1/2 in (1+2) ة لله tan't Z • tanw=Z Z = Sinw cosw

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Q: write true or false for each statement  1. {∅}⊆{∅,{∅}}   2. ∅⊈∅   3. {∅}∈{∅}

A: The answers are given below:

Q: (b) y = √2-3x

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Q: Use the given conditions to write an equation in point slope form and slope intercept form. 8. Slope…

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Q: 2 xa tinh xx > 11/ash+²³1 +0

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Q: Hello, can you help with the below math exercises with the explanation please? Thanks a lot! 5/…

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Q: A sphere is tangent to the x-y plane, the x-z plane and the y-z plane and it's center is the first…

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Q: 1. Prove the following limits xy lim (x,y)→(0,0) √x²+y² x³+y³ D) E) lim (x,y)→(0,0) F) x²+y² x² - y²…

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Q: 6. Evaluate: lim x² +16 X-4 X-4

A: NOTE: Refresh your page if you can't see any equations. . here we have a rational function  and x=4…

Q: Find each of the following. Write DNE if the limit does not exist. lim f(x) = x-1 Find each of the…

A: Topic - Limits

Q: Use the Chain Rule to find dz/dt. z = tan−1(y/x),    x = et,    y = 5 − e−t

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Q: Use Green's Theorem to evaluate >[2²y² dz + (yz²³ + y²) dy where Cis shown below. 90 O-384 O-48…

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Q: 2) A construction company uses the function S(t) = 28,000 - 2000t to determine the salvage value…

A: 0

Q: C. Find the standard form of the equation of a circle given the following conditions. 11. Radius is…

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Q: C. Find the standard form of the equation of a circle given the following conditions. Diameter is 12…

A: To find out the equation of the circle from the information given.

Q: The temperature at a point (x, y) is T(x, y), measured in degrees Celsius. A bug crawls so that its…

A: Given :-x=2+t,y=3+12t and Tx2,4=5,Ty2,4=3

Q: Consider the differential equation (xy + 3x − y − 3) dx = (xy − 2x + 4y − 8) dy. By separation of…

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Q: Find the unit normal vector for the vector-valued function r(t)=(t^2-3t)i + (4t+1)j and evaluate it…

A: Given data:- Vector-valued function, rt=t2-3ti + 4t+1j Evaluate at t=2

Q: Find the general solution of y'=cos²xcosy

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Q: 8. Evaluate: lim |5-x| x-5-5-x

A: To evaluate the following limit.limx→5- 5-x5-x

Q: This question has several parts that must be completed sequentially. If you skip a part of part.…

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Q: A function is given. Determine the average rate of change of the function between the given values…

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Q: 3. The graph of f'(x), the derivative of f(x), is continuous for all x and consists of five line…

A: The graph of f'x is given as , find the absolute maximum value of fx over the interval 0,3.

Q: Find a parameterization for the curve shown in the figure below. |--1 = 110 -1 r(t) where 0 ≤t≤ 1…

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Q: Evaluate ex+y dx dy In8 1-y y=0x=0 O e-In2 eln 8-7 025

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Q: 2. Let h(x) = f(x) · g(x) and j(x) = f(x) / g(x). Complete the table using the information about f…

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Q: 16. Solve the inequality. Write the answer using interval notations. (1 − x²)²³(2 – 3x²) – (2x −…

A: Given inequality:- 1-x2322-3x2-2x-x31-x212-3x1-x23>0

Q: In Problems 1-6, identify the equation as separable, linear, exact, or having an integrating factor…

A: Dear Learner,We expert are following bartleby expert guidline so we can answer only one question.…

Q: Find the x- and y-intercepts of the graph of the equation. (If an answer does not exist, enter DNE.)…

A: We have given an equation. We have to find the x and y intercept. We have  y - 9xy + 9x = 1 To find…

Q: Z(A+BZ²) The Z-transform of the following function f[k] =2.2+(-5)*-(-4)* i (Z-2)(Z+1)(Z+5) so the…

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Q: 13. Recall that nonzero vectors u and are called collinear if there exists a nonzero scalar a such…

A: Given data:- Nonzero vectors are u→ & v→ Nonzero scalar α such that v→=αu→ u→×v→=0→