Find the exact value using a sum or a difference identity. SHOW ALL WORK– include the formula, sketch triangles, etc. b) tan(255°) a) cos(255°)

Q: Solve the trigonometric equations. (a) 2cos (x) = V3 in [0, 2n) (b) tan(x)–1 = 0 in [0, 2n) (c) V2…

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Q: Demand Function: d(x)= 500-0.6x Supply Function: s(x)= 0.2x Find the Equilibrium quantity= Find…

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Q: A Comapny's Marginal cost function is C^1(x)=17/√x) Where X is the number of units. Find the total…

A: Use integration for finding the cost function.

Q: S(9% + 33* + 2²) dx

A: Given

Q: Convert the differential equation x''' = x'' – 2x' – 4x +t into a system of first order equations by…

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Q: 19 at are the equations of the asymptotes for the function y = tan 27x where 0 < x < 2 х %3D 0.25,…

A: Given query is to find the equation of asymptots for the function.

Q: Use a graph to determine whether the given function is continuous on its domain. H Sx + 2 if x < 0…

A: Given query is to find function is continuous not.

Q: Directions: Prove the following statements. 1. If f(x) = (x² – 1)3 then f'(x) = 6x3 – 12x + 6x.

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Q: 3. Determine the exact values of the trigonometric functions using the given unit circle below. (a)…

A: We know that on unit circle , x co-ordinate is cosθ and y is a sinθ. Therefore cosθ=-35sinθ=45we…

Q: 24. Solve the system. [x, y] = [-9, – 1] + s{2,3] [x, y) = [-8,2) + 1{2.1]

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Q: Use sigma notation to wrte the sum. 7n Σ

A: Solve the following

Q: 2. 4. 6. . (2n) n! n = 1 Identify a, 2n! n! 2.4 6 (2n) n! (2n)! n! (2n)! 2 4· 6 • . . · . (2n)…

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Q: 3. Find the point(s) on the graph of the curve fle)-+3+ where the tangent is horizontal.

A: To find the points on the graph of the curve fx=x33+3x+4x, where the tangent is horizontal.

Q: 8. S 3tan 3z r sec? 32 da

A: As per the guidelines I can solve only first question

Q: dy

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Q: Which of the following transformation statements is not true about the transformation from y = cos-1…

A: We can reflect the graph of any function f about the x-axis by graphing y=-f(x) and we can reflect…

Q: Find the area of the region. See Examples 1, 2, 3, and 4. f(x) = (x – 5)3 g(x) = x - 5 y 1.5| 1.0…

A: This question can be solved using the concept of area under curves.

Q: 8. (x'-20) (x-3)

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Q: 10 Evaluate the summation i. i=1 55 10 1

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Q: Consider the differential equation y''−2xy'+y=0y′′-2xy′+y=0 subject to y(0)=1y(0)=1 and…

A: Given; y=1+5x-x^2/2+x^3/6 y(.2)=?

Q: (y* - 2xy)dx + 3x?dy = 0; when x = 2, y = 1

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Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) y,…

A: Area of the region bounded by the curves :      If f(x) and g(x) are two continuous function on a,b…

Q: Find the volume of the solid obtained by rotating the region bounded by the curves y = x°, y = 1

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Q: 9. (Trigonometric Substitution) Let x = 2 sin(0) for 0 < 0 < . Write v4 – x2 as a trigonometric…

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Q: Prove the statement by mathematical induction. 3+5+7+…+(2n+1)=n(n+2) 1. Proposition is true…

A: The given statement,   3+5+7+....+2n+1=nn+2

Q: Consider the function f(x) = 8/a + 1 on the interval [4, 6]. Find the average or mean slope of the…

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Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. (If the…

A: We have to find if the series converges or diverges.

Q: Find 312 i-0

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Q: 4. The temperature, T, in C, of a side of beef t hours after it is put in the freezer is given by…

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Q: 4e-1dx = 7.96 × 10° O True O False

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Q: 25. Find the intersection of the line [x, y, 2] = [1,4, – 2] + 1(1, – 1,3] and the plane 2r – 4y +…

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Q: Consider the following series. 8 + e-n n = 1 What does the Test for Divergence reveal about this…

A: We know the necessary condition for the convergence of a series. A series ∑nan   is convergent…

Q: A stone is dropped from the edge of a roof, and hits the ground with a velocity of -120 feet per…

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Q: 4(sinhx dx 5. Evaluate Vi+x? V1+x°

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Q: Using the following graph of the function f, evaluate the limits (a) through (i). (a) Select the…

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Q: Solve the two items using Integration by parts. 1. [x' V9- x² dx 2. Te2* sin x dx

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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: For the function y f(x) - la + 10: - df at x = 1. dx a. Find f'(1) = b. Find a formula for x =…

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Q: Sketch the following points in space three, A (4,5,3); B (1,7,4) and C (2,4,6). Prove that point A,…

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

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Q: 14. Given the vector form of a line in three-space to be [x, y, z] = [2,6, – 3] + t[4,10,6], find a.…

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Q: 10* dx (10*+1)5

A: We can solve the integration as below.

Q: 3. 1 1 2 4 1 To find the blue shaded area above, we would calculate: | f(x)dx area а Where: a = b :…

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Q: Find the area bounded by the curve y= 4-x2 and thex-axis. Graph

A: We can find the area bounded as below.

Q: 6x² – 7x +9 Find the lim Justify your answer. What can you concluc 4x3 +6

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

Q: Find: d/dt (xe^x)

A:

Q: Find the area bounded by the curve y = 4x-x2 and y = 3. %3D Answer:

A: Solve the following

Q: In each case determine if the Diophantine Equation has a solution. If it does find two solutions.…

A: Euclidean algorithm: Note that the greatest integer that divides both A and B is the Greatest Common…

Q: A firm estimates that it will sell N units of a product after spending x dollars on advertising,…

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

Q: sin(n +h) – sin . lim- а. 1 b. 0 C. -1 d. * е. -00 h-0 h

A: