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Q: Let (a) (b) (√x + ²) dr + (y² + ln(2x)) dy=0, x>0. Check that this is an exact differential…

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Q: Find a Cartesian equation for the curve. r = 5 sec (0) 2π X

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Q: 1. x dy dx – 4у = х6 ex 9x

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Q: Find the equation of the tangent plane to the surface determined by x³y² + z-30 = 0 at x = 3, y = 5.…

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Q: Use the tangent line to the curve  x7 + y2  =  x + y  at the point (1, 1) to approximate the…

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Q: Find dy/dx by implicit differentiation sin y = x^3 + y^4

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Q: Evaluate the definite integral by interpreting it in terms of areas. 7 (3x - 18)dx 3

A: To evaluate the following definite integral by interpreting  in terms of areas.

Q: Find the differ y = √3 dy= = Evaluate dy fc x = 1, G y =

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Q: Sketch the level curves of the function corresponding to each value of z. f(x, y) = 4x + 6y; z = -2,…

A: Consider the function

Q: e,f,g

A: By using previous solution sign Table xf'(x)Positive zeroNegativeDNENegativezeroPositive

Q: A piece of cardboard measuring 11 inches by 14 inches is formed into an open-top box by cutting…

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Q: Use the second degree Taylor polynomial for x at x = 8 to estimate 10. Round your answer to four…

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Q: Suppose f (x, y) =x² + y² - 8x and D is the closed triangular region with vertices (8,0), (0,8), and…

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Q: Form a polynomial whose real zeros and degree are given. Zeros: -4,0,1; degree: 3 C Type a…

A: we are given the zeros, and we need to find out the function.

Q: Suppose a triangle in space has vertices (a, b₁, ²₁), (a₂, bz, C₂) and (93, b3; (3). Explain how you…

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Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

A: r=6cos⁡(θ),θ=π3

Q: Consider the following curve. ² = sin(20)

A: r2=sin⁡(2θ)

Q: For a standard normal distribution, find: P(-1.29 Z-1.07)

A: The given probability .The aim is to find the value of the probability using the standard normal…

Q: 2. Consider the floor function [.] whose output is the largest integer less than or equal to the…

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Q: Baseball A (square) baseball diamond has sides that are 90 feet long (see figure). A player running…

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Q: Solve the given initial-value problem. Y(x) = y" + 4y' + 5y = 35e-4x, y(0) = -5, y'(0) = 1

A: y'(0)=1

Q: Find the absolute maximum and absolute minimum of the following function on the given interval. ƒ(x)…

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Q: Profit The profit P (in dollars) made by a cinema from selling & Bags of popc x² 28,000 3,300, 0≤x≤…

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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: 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: 4. A water tank in the shape of an inverted cone has height 92 cm and radius 60 cm. If the water…

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Q: Find a Cartesian equation for the curve. r = 9 cos(0)

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Q: If h (x) = (x² – 2x 43 04/0 0 - 12/25 3 00 - (x² – 2x − 1) ³, then h' (0) =? - 43

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Q: 1. Find the derivative of: a. y=(x-1/x+1)^2

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

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: (a) Estimate the area under the graph of f(x) = 1 + 2x² from x = -1 to x = 2 using three rectangles…

A: We have given that, the function is    , x = -1 to 2.(a) For n=3, we have the right Riemann sum…

Q: 1. Using the fundamental theorem of calculus part 1, along with properties of the definite integral…

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Q: Show that the function is increasing on the given open interval. (Enter your answers as a…

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Q: HOMOGENEOUS DIFFERENTIAL EQUATION Solve the following differential equations using HOMOGENEOUS DE.…

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Q: 23-28 (a) Find the intervals on which f is increasing or decreasing. (b) Find the local maximum and…

A: (a) To find the intervals on which f is increasing or decreasing, we need to analyze the derivative…

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

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Q: Form a polynomial whose real zeros and degree are given. Zeros: -4,0,3; degree: 3

A: Form a polynomial whose real zeros and degree are given.Zeros: -4,0,3; degree: 3

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

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Q: Does the series below converge or diverge? If it converges, find its sum. Either way, justify your…

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Q: Tel f(x) = at: *+] at x = 2

A: The given function is

Q: 1. Solve dy_3-x-y x + y €1 dx 11

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Q: Roberto has plans to build a tree house in his backyard. He takes measurements from the ground and…

A: Here,

Q: Evaluate the following integral. A sketch is helpful. R 3 15x² dA; where R is bounded by y = 0, y =…

A: To find:- Where R is bounded by

Q: Find the reduced echelon form of the matrix: M 1 2 3 1 4 1 2 19

A: The Matrix is given by :

Q: Consider the function f(x) = = 8x² x-6

A: f(x)=8x2x−6

Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) x r"(t). r(t) = 2t²1 - 4tj + (a) r(t) (b) r"(t) (c)…

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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: show x on left side Inverte COAS Isolate x. For answer, show X on 2 (x-3) - x ≤ 10x + 5

A: Solve tye given equation  for x

Q: ·b f(b) − ƒ(a) = f'(a)(b − a) – ſå ƒ''(x)(x − b)dx a

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Q: +² dt F(x) In(t) F(x), determine whether F is inc a dec x>2 at x=2020

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