Given cos A 11 61 and that angle A is in Quadrant I, find the exact value of tan A in simplest radical form using a rational denominator.

Q: Express f(x) in the form f(x) = (x-k)q(x) +r for the given value of k. f(x) = 3x +x +x - 4, k= - 1

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Q: Question 11 Evaluate: (ed"+1) /Ted" + 1)?-4 3x A) None B sec -C sec D sec-1 +C E +C 2 Sec-

A: First we put e3x+1=t and differentiate both sides with respect to t and solve it.

Q: a.) S dx/x²+4x+5 b.) S(cscx – tanx)²dx

A: topic - indefinite integral

Q: The x2- 4 dx can only be evaluated using trigonometric substitution technique . A True B) False

A: To find if the given integral can be solved only by algebraic substitution technique.

Q: I. Write 2 – 7i in polar coordinates on the complex plane. - II. Find (1+ i)° using DeMoivre's…

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Q: The area of a circle increases at a rate of 6 cm /s. a. How fast is the radius changing when the…

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Q: Insec2 (sin2y) Which of the following is one of the correct steps to evaluate the sec2y A None (B In…

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Q: *dx Evaluate: 3x + 4 A None e 3x, ! sec-1 В +C |

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Q: 1. Find the angle between the following two vectors. and

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Q: Which of the following is one of the correct steps to evaluate cos3 dt to obtain the correct indef…

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Q: () If h(x) = | cosxdx and h =4, then h (0) is equal to 4 A -3 B 3 4 D -4 E) None C.

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Q: Find the sum of the following infinite series. If it is divergent, type "Diverges" or "D". 1 Σ 8. n…

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Q: 4. Show that if x, y, z are integers such that x2 + y2 + z? = 2xyz, then x = y = z = 0. (H)

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Q: In a triangle, assume angle A is opposite side a, angle B is opposite side b, and angle C is…

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Q: Find all the antiderivatives of the following function. Check your work by taking the derivative.…

A: f(x)=13exIntegrate on both sides:∫f(x) dx=∫13ex dxF(x)=13ex+C

Q: In tan"u du where n is any integer, we use the transformation for tan?u sin?u cos?u

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Q: For the function, f(x) =x° -7, determine whether it is one-to-one. If the function is one-to-one,…

A: The objective is to check for one one of the given function and if the function is one one find the…

Q: Absorption of Drugs The concentration of a drug in an organ at any time t (in seconds) is given by…

A: We have to find the concentration at given time t.

Q: Find the area. a. Inside one leaf of the three-leaved rose = cos30

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Q: Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms If F(s) = L{f(t)} and n = 1, 2, 3, ...,…

A: Given: L(te-12t)..

Q: Question 12 is 2V5 – Sin|Vã + s| + C. Vits dx The antiderivativeof |- 5ln x +5 A) True B False

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Q: Determine if the following series is convergent or divergent: 8 n=1 3n2 + 4n + 5 O Convergent O…

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Q: () If h(x) = | cosxdx and h =4, then h (0) is equal to 4 A None B -4 C) - 3 D 4 E

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Q: Find the acute angle in radians between the planes 1x+z=1 and 1y+z=1. You may leave your answer in…

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Q: Ln (sin? (D-C)x) Find derivative of f(x) = %3D xD-C

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Q: ſla(Ji + s)dt 1.

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Q: For f(x,y)=6x7 y6+2eX : (a) Determine fxx(x,y). 5 6 Answer: 252x°y° + 2y e (b) Determine fxy(x,y) .…

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Q: To evaluate sin 2x cos 2xdx conveniently, the formula/ identity to be used islare A sin²2x =1– cos2x…

A: We need to choose correct option.

Q: f(x) = x* - 2x? ... Choose the correct graph below. O A. В. C. D. Ay 10- -40

A: Given query is to find the graph is the function.

Q: c.) S (4t²-t²+16t)dt/(t²+4) d.) S V1-cos*o de

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Q: Fincd the inverse matrix by cofector u A= 3 2

A: Given query is to find the inverse matrix.

Q: x1/2 dx reduces to Using an appropriate algebraic substitution, the integral 1+x32 2y2 dy 1+y3 ys dy…

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Q: sin?u tan"u du where n is any integer, we use the transformation for tan?u= cos?u In A) True В False

A: Here we have to state whether the given statement is true or false.

Q: x2 dx Using trigonometric substitution, the integral 2 x²– 4 is equivalent to x12 (A 4 sec20 tano do…

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Q: Of all rectangles of area 100, which has the smallest perimeter?

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Q: 2) Sx sin(2x?) dx 3) S cos?(2y) sin(2y) dy 4) f sec3 x tanx dx

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Q: (3x2+ 8x - 12)dx In the complete factored form of the denominator is x(x+4) (x+3). x3+ 7x2+ 12x A…

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Q: Which of the following is one of the correct steps to evaluate cos - dt to obtain the correct indef…

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Q: To evaluate y?csc2(y³) cor?(y³)dy, we let u =cse(y³)

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Q: Find an equation of the tangent plane to the surface z = læ? + 2y² + 2x + 1y +3 at the point (2, 4,…

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Q: Evaluate: Jycos2ydy 1 A y'sin2y+ycos2y-sin2y+C B y²sin2y- ycos2y+ -sin2y+ C 4 1 1 글가 sin2y+글ycos2y+…

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Q: dx , if we let u =V 25 – x² , then udu = - xdx. (A True B False

A: Given query is to find statement is true or false.

Q: sin(en sin-lx )dr =- cos( sin-!x) +C V1-x? A) True B) False

A: To solve the following integral

Q: Evaluate: Jevdx. A = 2ev/x+1)+C © - 2evã(/x+1) B + C © =2ev^(/x-1)+c

A: To solve the following integral

Q: Which values are solutions to the equation on the interval (0, 2m)? Select all correct answers. 12…

A: The given equation,     12sin2x+4sinx-1=0

Q: Let f(x) = -72* + 59a² + 201¤ + 143 be the function graphed here. Click on the graph and expand…

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Q: 3. lim f(x) = x³ - 1 %3D X 1 х-1 X approaches 1 from the left- -x approaches 1 from the right 1.001…

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Q: Graph f(x) = e +2. Choose the correct graph. OA. Ay 4- OB. Ay OD. Ay Oc. Ay o 包

A: We need to choose correct graph.

Q: find (a) f• g, (b) g•f, and (c) f • f. (i) f(x) = x*, g(x) = x - 1 %3D

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Q: The x-intercepts of y = x2-4x-5 are: O a. (-5,0) and (1,0) O b. None O c. (-5,0) and (-1,0) O d.…

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