[ (x² +1) cos +=dx 2

Q: T dy dx e x√√4-in²x 2

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Q: 22. lim (x, y)→(0,0) 1 - cos (xy) xy

A: See this solution in below.

Q: Step 4 Finally, determine(-3x + 7) and (x + 7) and simplify the result. dx dx 1. du 1 dv + U dx V dx…

A: formulas we use: ddxf+g=dfdx+dgdxddxkx=k; k is a constant.dkdx=0; k is constant.ddx(x)=1.

Q: A rectangular poster is to contain 162 square centimeters of print. The margins at the top and…

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Q: Evaluate the following integral using trigonometric substitution. S dt 1²√36-1² OC. t-6 tan 0…

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Q: Evaluate the following integral. 2x + 5 2 x + 25 X 2x + 5 2 x + 25 dx dx =

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Q: Given the function x³ + y³ = 4, find y' Oy = = Oy = = 0 y = = V Oy =

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Q: 4. * f(x) = x² ex

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Q: Solve the given equation.. (x +2)sinydx + xcosydy = 0

A: Given Differential Equation:- x+2sinydx+xcosydy=0

Q: f(x) = 2 sinxtx 3 2x + 6x + 2

A: Topic:- application of derivatives

Q: Describe the method used to integrate sin ³x. Choose the correct answer below. O A. Rewrite sin ³x…

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Q: 5 Find the center and radius of the circle. Write the standard form of the equation. The center of…

A: We know that the centre is the mid point of diameter.

Q: Find the equation of the tangent plane to the graph of z=3x^3+5y^2 at the point above  (x,y)=(1,2).

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Q: I need the P prime and Q prime of 1 and 6 P'(1)= Q'(1)= P'(6)= Q'(6)=

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Q: Concept Check: Evaluate the following integrals: e³x dx 1-2e³x 2. ·S₁ TENTIA

A: To evaluate the given integral.

Q: Application of Derivatives (Tangent Line, Normal Line, Rate of Change)

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Q: are

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Q: 1. Find a particular solution to y" + 4y + 4y= 25 cos(t). Solution yp(t) =

A: As per guideline we can solve maximum one question you can repost other question

Q: Determine whether the sequence converges or diverges. If it converges, find its limit. an = n COS NT

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Q: DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then the integral £{f(t)} =…

A: Given function is ft=9,    0≤t<30,    t≥3 We need to find laplace tranform of the given function.

Q: Find the intervals on which f is increasing and the intervals on which it is decreasing. f(x) = -2…

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Q: Solve x + (3x + 1)y=e-3x dx Select one: O a. y = xe-3x + ce-3x O b. y = e-3x + cx-¹e-3x O c. y=e3x +…

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Q: 1) Suppose that F(x) = 15x³+4x² - 3x + π. For each of the following questions, type yes if the…

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Q: 2. In a. and b. (below), show that y₁() satisfies the given differential equation. Then, use the…

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Q: Consider the ellipse A. (-5,1) (x-5)² 256 (y-7)² 400 B. (-5,-1) 1. One of the foci is at (-5,15). At…

A: Given equation:- x-52256+y-72400=1

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: 28. (2A + B²)4

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Q: C C 7. Find the critical values for f(x) = x² + 4x²³² + 4x² 2. On what interval(s) is the graph…

A: Concept: A function's derivative can be used to determine whether it is dropping or rising on all…

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Let g(x) = x(lnx)². Find the open intervals on which g(x) is increasing and decreasing.

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Q: A person standing close to the edge on top of a 80-foot building throws a ball vertically upward.…

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Q: Calculate the consumer's surplus at unit price ō = 10 for the demand equation q=20 -0.05p²

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Q: Solve (y + 2xy³) dx + (1 + 3x²y² + x)dy = 0. Select one: O a. xy³ + x³y² + y = c O b. xy + x³y² + y…

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Q: Use the Comparison Theorem to determine whether the integral is convergent or divergent. convergent…

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Q: Solve (√x+x)=√y+y Select one: O a. y (c(1+√x) + 1)² O b. y = (c(1+√x)-1)² O cy=(-c(1 + √x) + 1)² O…

A: The given equation is; [sqrt(x)+x]dy/dx=sqrt(y)+y.

Q: Evaluate the double integral. 116 4x². (+² + 2y) dA, D is bounded by y = x, y = x³, x ≥ 0

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Q: A Ferris wheel with a radius of 13 m is rotating at a rate of one revolution every two minutes.…

A: The given data is: A Ferris wheel with a radius r=13 m is rotating at a rate of one revolution every…

Q: the

A: We have to find the following conditions from the given information

Q: Find the differential dy of the given function. (Use "dx" for dx.) y=x√√√9-x² dy

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Q: Let y=tan(5x + 4) Find the differential dy when z = 2 and da= 0.3 Find the differential dy when - 2…

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Q: Use the tangent plane to approximate a function of two variables at a point. Use a tangent plane at…

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Q: 7. g(x) = In (x₂²x)

A: To differentiate the given function.

Q: Find the maximum value M of f(x, y) = x³y³ for x ≥ 0, y ≥ 0 on the line x + y = 2. (Use symbolic…

A: Given that fx,y=x5y3  ,x≥0,y≥0 To find : Maximum value on the line x+y=2Solution :we know that…

Q: dx [+ x ==- I- x+1 X S

A: The given integral is ∫-1∞xx+1dx We have to find the solution of this integral.

Q: Given that f(x) = x¹²h(x) h(-1) = 2 h'(-1)=5

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Q: Find the derivative of f(x) = 5√√x - - 7 28 Type your answer without fractional or negative…

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Q: Find the derivative of the function: y=xz²

A: We need to find out the derivative of the  function.

Q: Obtain the differential equation of this family of curves. The lemniscate ² = acos 20

A: see below the answer and calculation

Q: v-1 ● ● dv 32 = —— dt V l Solve the Linear Differential Equation (First Order) in a standard form.…

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Q: 4 Recall that the volume of a sphere is given by V = The radius of a spherical balloon is increasing…

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