Write the product as a sum or difference: 12cos(34u)sin(9u)

Q: Evaluate and show all necessary solutions. 1.S cosxsin²x V1+sinx √25-4x² 2. S 3. S 4. fxcosxsinxdx…

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Q: The maximum value of the function f(x, y) = x + y subject to constraint x² + y² = 2 is not equal to…

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Q: 1. Evaluate I = D xy dA, where D is the triangular region with vertices (0,0), (0, 1), and (1,1).

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: At what point in the first quadrant does the line with equation   y = 0.5 x + 4   intersect the…

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Q: Find an equation of the tangent line to the graph of the function f(x) = 2x² - 4x +5 at the point…

A: Given, f(x)=2x2-4x+5

Q: Consider the following planes. 3x + 6y-z = 126 x - 12y + 2z = 0 (a) Find the angle between the two…

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Q: Use cylindrical or spherical coordinates, whichever seems more appropriate, to evaluate lies above…

A: Solution: ∬∫E z dV z = x2 +y2  ,     z =4

Q: When proving the limit lim(2x + 8) = 14, and e > 0 is given, what is an appropriate choice for 8?…

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Q: Problem 10 (i) Write the polar equation in Cartesian coordinates. (ii) Write the rectangular…

A: This is coordinate system problem

Q: Find f'(x) and find the equation of the line tangent to the graph of f at x = 1. X-6 3x-7 f(x) =…

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Q: Зи lim n- 2n² + 1

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Q: Reverse the order of integration in order to calculate the following integral: 2 1+x4 0 dx dy.

A: We can evaluate the given integral by using the integral formulas.

Q: f(x)={-2x, X = x ≤ 4 x>4 x² - 8x + 5, Find the x-value at which f is not continuous. Is the…

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Q: Graph the circle. (x − 3)² + (y+ 1)² = 16 R -8 46 DE 3 23 -6- -8- 61

A: Standard equation of circle is ÷ x-h2+y-k2=r2 Where,h,k=center of the circle and  r= radius of the…

Q: Find the component of u = 2i + j − 3k that orthogonal to v = 3i – j, then verify your result.

A: This question can be solved using the concept of component of vectors.

Q: 1. Which of the following values would be obtained using 10 circumscribed rectangles of equal width…

A: The integral is  ∫01 x2 dx

Q: x² + y² - z² = 9 (u, v) = Determine the tangent plane at (3, 0, 0).

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Q: Find y' and the slope of the tangent line to the graph of (2x-3y)4 = 3y3-8 at the point (2,2). y'=0…

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Q: 3x 1+x* 4. Find a power series representation for the function f(x)=; and find its interval of…

A: Please see the below picture for detailed solution.

Q: Given that n=0 x = 1 1-x Identify its interval of convergence. The series is convergent from , left…

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Q: What is the closed form for the infinite geometric sequence beginning  4,2,1,1/2 where the first…

A: Given :The infinite geometric sequence : 4, 2, 1, 12, ..

Q: Find an equation for the ellipse whose graph is shown. y 0 (10,5) 15 X

A: Consider the ellipse  Consider the graph

Q: Which of the following statements best answers the question? k If x= D(p): and n 1, constant for…

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Q: The function f(x, y) = 2x³ - 6x + 6xy² has: Select one: O One minimum One maxima and one saddle…

A: Topic:- application of derivatives Note :- as per our guideline if more than one question uploaded…

Q: an = Inn √n

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Q: Find the constant a such that the function is continuous on the entire real line. - [8x², a = ax -…

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Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. [[₁…

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Q: The maximum rate of change of the function 1 f(x, y) = at the point (1, -2) happens in direction of…

A: I have find the direction and value of maximum rate of change of given function and say that given…

Q: i) Find the general term (an) of the sequence ii) Calculate 2e¹,5e-2, 10e-3, 17e-4,26e-5, 37e-6, ...…

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Q: For a function h(x) we know that h(50)=68 and h’(50)=-5. Estimate the value of h(53)

A: Topic = Functions

Q: y"-3y-2y=0; x = 0, y = 0, y =9, y'=0

A: Solution of given question is written in below steps.

Q: Evaluate the integral B = {(x, y, z)| 0≤x≤2,-2 ≤y ≤2, 0≤z ≤3} with respect to x, y, and z, in that…

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Q: The total sales of S (in thousands of DVD's) of a certain movie are given by the following formula…

A: Given  St=60t2t2+150

Q: Question 18 A curve has a slope of 2x and passes through (1,4). Find the area bounded by this curve…

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Q: Question 10 Determine the area bounded by the curves y = ex, y=x²-1, x=-1, and x = 1.

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Q: Determine any planes that are parallel or identical. (Select all that apply.) P₁-120x +90y + 120z =…

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Q: Find the limits. f(x) = x + 4 g(x) = x² (a) (b) (c) lim_ f(x) = X-15 lim g(x) = lim_g(f(x)) =

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Q: Question 5 Find the area bounded by the parabola y² = 8x, the line y = x + 2, and the x-axis.

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Q: nd the area of the surface over the given region. Use a computer algebra system to verify your…

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Q: Consider the following function and its graph. f(x): X x² + (b) Use the graph to determine the limit…

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Q: Evaluate the limit. Select the correct answer below: O + O-3 03 0-1/3/2 0 1/1/012 The limit does not…

A: Given, limx→3x+1x2-2x-3

Q: Find the constant a such that the function is continuous on the entire real line. -√8x², a = ax - 8,…

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Q: t: It F is conservative, the integration may be F(x, y) = yi - xj (a) r₂(t) = ti + tj, ost≤1 (b)…

A: Follow the procedure given below.

Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer…

A: use the cross product of the vect0r.

Q: Find a polar equation for the curve represented by the given Cartesian equation. (Assume 0 ≤ 0 <…

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Q: Find the derivative. F'(x) if F(x)= (ex¹ +5) 3 F'(x)=

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. (9x (9x - 8)…

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Q: an+1 = √√√42+ an, a₁ /42 + an, a₁ = -42

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Q: How many critical points the following function has, h(x, y) = 1 + x³ + x + xy²? Select one: O None…

A: We can find the answer as below.

Q: The owner of the Rancho Grande has 2944 yd of fencing with which to enclose a rectangular piece of…

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