Verify the identity. Show that cos (p+q) cos (p-q) = cotp cotg - 1 cotp cotg+1

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Q: A. Find the equations of the intersection line between the planes 3x+y-z = 2 and x-y+2z = 3

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Q: dy Use implicit differentiation to find without first solving for y. dx ,5ry

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Q: Exercise: Solve the equation d²y dx² + y = tan x

A: The given differential equation is

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Q: Consider the function z = z³y+ 30x4-7776y. Find and classify all critical points of the function. If…

A: Consider the functionTo find and classify all critical points of the function.

Q: Solve the following initial value problem: with y(1) = 9. y = dy +8y = 1t

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Q: 5x2 lim (x,y)(0,0) 5x²+4y²

A: To find the following limit.

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Q: Find the number of stationary points for the graph of y=1/2x^4−2x^3−4x^2+11.

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Q: Let f(x, y, z) = x4y²+ z² and x = = st³, y = s²t³, and z = st. (a) Calculate the primary derivatives…

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Q: Determine whether each of the following integrals is proper, improper and convergent, or improper…

A: •Proper integral: An integral which has neither limit infinite and from which the integrand does not…

Q: Parameterize x(y) = √√y+5y using y = t Ans=

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Q: Find the maximum and minimum values of the function g(0) = 30 – 8 sin(0) on the interval [0,π]…

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Q: B. Find the distance between the point A(-2,2,1) and the plane 3x 5y+z = 5. - C. Find the equation…

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Q: Use logarithmic differentiation to find dy/dx.

A: Answer is given below Explanation:

Q: 3 Parameterize y(x) = +1 using x = t sin x Ans=

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Q: Vector-valued functions (VVF) r(t) = VVF Point P t value (for point A) 1 t²i + √√4 − t j + √√t+1k…

A: Answers: 1. The domain of a vector-valued function consists of real numbers. The domain can be all…

Q: Are the areas of the two shaded regions below the same? f(x) = 1 (1+x²)2 y 1 1 0 I IT 4 g (0) = cos²…

A: To find the area of shaded regions

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Q: Find the absoulte maximum and minumum values of the following function on the given region: (Please…

A: The absolute maximum value of(f(x,y)=x2+y2−2x+2​)on the region (R=(x,y):x2+y2=4,y=0) is…

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Q: Use a triple integral to find the volume of the given solid. The tetrahedron enclosed by the…

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Q: The center A and the radius R of the following sphere x² + y² + z² - 2x - 2y2z1 are Ignore "Give…

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Q: (b) Compute the frequency and probability distribution of X. x P(X = x) Frequency 50 125 150 225 300…

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Q: #ind d²y/ dx²: y(x) = tan x

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Q: Is f(x)=2/x-7 one to one

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Q: If f'(x)=0 for all *, then a) f(x)=(x) for every x₁ x₂ c) f(x)>(x) for every x₁>x₂ d) f(x)>(x) for…

A: If  then which option is correct .

Q: Evaluate the integral. (Use C for the constant of integration.) cos dx COS -x cos-sin()+C x

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Q: Calculus 1 Question. Please help   Thank you

A: Ans : dxdy​=6cos6xExplanation:Explanation:

Q: Evaluate the following integrals using partial fraction decomposition, when applicable

A: If you've any doubt comment below-Explanation:

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis y = √8-x, 2 ≤ X ≤…

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Q: Suppose f(x, y) = x² + y² - 10x - 6y+4 (A) How many critical points does f have in R²? (B) If there…

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