Find the value of each of the six trigonometric functions of the angle 0 in the figure. V10 sin e = V10 (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Type an exact answer, using radicals as needed.) 3/10 10

Q: find the area bounded Curve y=V+5, line X=-- 6

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Q: 10) Eind the eçuation of the plane Contaihins the two vectors 2and ,and the point PU2ー)

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Q: 12. Solve the second-Order differential equation: -y = e* (use method of variation of parameters) dr

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A: Given problems:- a) A firm estimates that it will sell N units of a product after spending x on…

Q: If F(x) = f(g(x)), where f(2) = 5, f '(2) = 5, f (-2) = 1, g(-2) = 2, and g'(-2) = 5, find F '(-2).…

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Q: Find the Maclaurin series for the given function f(x) = e-6x

A: The maclaurin series is: f(x)=e-6x     ,    f(0)=1f'(x)=-6e-6x     ,    f'(0)=-6(1)=-6f''(x)=36e-6x…

Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of f() = 2x + 3 between x =…

A: Our Aim is to find the "area under curve"of f(x)=2x+3 between x=11 and x=13using the Fundamental…

Q: 6. Let 4-x? < f(x)< 4 + x². Use the sandwich theorem to determine the limf(x). Show all work!

A: Use sandwich theorem

Q: The series 32n-54-1 -2n is n=1 Select one: O a. is a divergent geometric series. O b. is divergent…

A: This question can be solved using the concept of ratio test for convergence and divergence.

Q: 4. The voltage signal from a standard wall socket can be described by the equation V(t) = 325…

A: v(t)=325sin(100πt) period =2π/B B=2π/(100π) B=1/50 B=0.02 sec

Q: 8 of 22 If č = (-3, –5) and d = (-2, –6), find |47 – 2.5d|. V74 O 8/6 O 7/5 146

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Q: Let T6 (x): be the Taylor polynomial of degree 6 of the function f(x) = cos(x) at a = 0. Suppose you…

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Q: sinx, x<0 x², 2-x, 1sx<2 |x- 3, x22 Osx<1 15. Let f be the function defined by the following. f(x) =…

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Q: For each problem, use implicit differentiation to find dy/dx in terms of x and y.

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Q: Find the area bounded by y = x + 4 and y = x² - 2. Answer:

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Q: Calculate the limit algebraically. (If an answer does not exist, enter DNE.) 2x4 + 30x3 lim x→+o…

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A: topic - independent and dependent variables

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Q: - 47 f(x)dx = 12 - 51 | and - 47 |. 9(2)da = 20 – 51 and - 47 - I h(x)dx = 32 - 51 what does the…

A: We can solve the integral as below.

Q: Find Σ +i . Ο 30 Ο 31 Ο 32

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Q: how the following series is conditionally co -(-1)" Wi

A: Given

Q: owing integral equal?

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Q: 4. The voltage signal from a standard wall socket can be described by the equation V (t) = 325…

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A: Given query is to convert square kilometres to acres.

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A: The area is bounded by the curves:y=25-x2 ; x axis ; x=-5 and x=5

Q: x³ +x 3+X 2. Evaluate dx X O x3 + 3x + C O 2x + C -+x+C

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Q: Let the region R be the area enclosed by the function f(x)= x³ – 1, the horizontal line y = -4 and…

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Q: Consider the following equations. y f(y) V 25 - g(y) = 0 y = 2 Sketch the region bounded by the…

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Q: (425 + 62?)dx Find -2

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Q: Find the exact value. Show all work, including a sketch: cos(sin-1 (),

A: We have to find the exact value

Q: | cos ) sin(x) dx

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Q: c). Using an integrating factor solve the equation dy + 2y/x = x dx

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Q: The graph of y= f (x) is drawn below, sketch a graph of y = f(x).

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Q: Prove i = [- 2,5, 1], = [2,1, – 1] and w = [-6,0, – 12] are orthogonal. %3D %3D %3D

A: SEE ATTACHMENTS

Q: If y = In dy then dx 10 10 20 et - E) eT – 10 A) x – B) eT D) 0 eT – 10 10 — еT Of –

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Q: (E – 4)A^ = -글Vyy-3), 1sys 25 ter a fraction, integer, or exact decimal. Do not approximate.

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Q: Let A(x) = | f(t)dt where f is the function given by the graph below. 4- 2 3 -2 -3 -4 A(2) = %3D…

A: Explanation of the answer is as follows

Q: Demand for the latest best-seller at OHaganBooks.com, A River Burns through It, is given by q = -p2…

A: Note that, the revenue is given by: R(p)=q×p where q is the demand function. So,…

Q: Corfect The weekly revenue from the production and sale of x units of salt is given by R(x) = 119x-…

A: Given query is to find the units for maximum profit.

Q: 4. If f(x) and g(x) are continuous on [a, b], which one of the following statements is true? [f{x)–…

A: Solution:

Q: Find the average value of the function f(t) = 4 t sine) on the interval [0, 20]. Round your answer…

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Q: dy sin(4x) Find for y dz V1 - x4 dy de

A: Given query is to find the derivative of the expression.

Q: Given Rn 2 4 2 6( 6 + i- 2 3(6 + i- express n i=1 n n the limit as n → 0 as a definite integral,…

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Q: 1. Consider the point in the plane whose Cartesian coordinates are (x, y) = (-10, 24). 1.1. Find…

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Q: 8. True or False: If lim an = 0, then an converges. %3D n=0 (a) True (b) False

A: Solved below

Q: I. Complex Numbers and Variables 1. Find the square roots of the complex number 5 + 2i. (cos 0+j sin…

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Q: Find the sum by adding each term together. Use the summatlon capabilitles of a graphing utility to…

A: we have to find sum.

Q: Find f' (x), if f (x) = 3Vx + 2Vx – 11 %3D

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Q: QUESTION 3 Find a formula for the nth term of the sequence. 1, 4 9' 16 25 (reciprocals of squares…

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