If sin 20 = √3, 0≤ 20 ≤ 2π, calculate the values of

Q: The rational expression A TRUE B FALSE 1 (9x² +16)² can still be decomposed.

A: this can not be decomposed. This statement is false.

Q: The domain of the function f(x)=x+7/x-5 is all real numbers except x=5. Express the domain in…

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Q: Find the transition points. f(x) = x(17x)1/3 (Use symbolic notation and fractions where needed. Give…

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Q: 25. Which of the following value of x is continuous of the function f(x)=√4x²? A. 2 C. 4 B. 3 D. 5

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Q: Given x - ³²+2y — In(y + 1), find the arc length for 0 ≤ y ≤4 8

A: The arc length of the curve x=f(y) for a≤y≤b is given by ∫ab1+dxdy2 dy

Q: Find the Area of the Surface obtained by rotating the curve about the x - axis X= (²+2),

A: The objective is to find the surface area.

Q: A projectile is fired vertically upward with an initial velocity of 210 m/sec from a point 2 m above…

A: topic- algebra

Q: Let C be the parametric curve defined by Ja(t)=1²-t-6, [y(t) = 41³ + 3t² - 6t. Determine the point/s…

A: a) Given that: xt=t2-t-6yt=4t3+3t2-6t For a horizontal tangent line, the slope must be 0. That…

Q: 3. The region bounded by the curve y=sec x, the x axis, the y axis and the line x=0.25pi is revolved…

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Q: f f(x) = 3 - 2x and g(x) = ln (x - 1) then (image attached) = 1. -2 2. None of these 3. 3 4. 1

A: Here, f(x)=3-2x, g(x)=ln (x-1) Now,…

Q: -5x² +11x+2 x(x+1)² dx 2ln|x| +3 In|x +1| + + + C x+1 Option 1 2ln|x| +3 In|x +1| +++ C Option 3…

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Q: . Compute for the relation between the cubic inch and the cubic cm by taking the ratio of the volume

A: 1 inch = 2.54 cm    1 cubic inch  = (1 inch × 1 inch × 1 inch)  = (2.54 cm × 2.54 cm × 2.54 cm)  =…

Q: (b) The function y(x) satisfies the inhomogeneous second order linear differential equation d²y dy +…

A: We have to find the general solution of the given differential equation using variation of…

Q: Compute[x² sin(2x)dx. A.- x² cos(2x)+ xsin(2x)+ cos(2x)+C 1 1 B. — — x² cos(2x)+ —…

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Q: Convert the Cartesian coordinate (-5,-3) to polar coordinates, 0≤ r = 0 = Il

A: We have to find polar form

Q: What integration technique can be used to integrate: O Integration Formulas O Trigonometric…

A: Use integration by parts and substitution method.

Q: 2. If the first term of an arithmetic sequence is 3 and the common difference is 4, what is the 23rd…

A: Topic = Sequence

Q: If a sphere passes through the points A(0, 1, 2) and B(−1, 2, 2) and its center C lies on the…

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Q: Using trigonometric substitution to solve x-2√4 – x²dx = f f (0)d0. What is (a − b + ²)? A B U D I…

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Q: Evaluate the y' and Simplify the answers I Direct trigo functions y = x² sinx + 2xcosx - 2sinx

A: The function is given by y = x2sinx+xcosx-2sinx To evaluate: The first derivative of the function.

Q: Given x = - ³²+2y — In(y + 1), find the arc length for 0 ≤ y ≤ 3 8

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Q: Show that the three functions: f₁(x) = ex-8f₂(x) = exf3(x) = 4(2x-2) are linearly dependent.

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Q: Determine the x- and y-intercepts for the given function. B(x)=5x+8

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Q: x² + 4x + 1 (x − 1)(x + 1)(x + 3) dx

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Q: Find the equation of the tangent line to the curve y = 5x² - 7 at a point x = 1.

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Q: 6. If y = 3√x, then what is y'? A. y' = C. y' = ¹ x 3 x3 B. y' = 1/2 D. y' = ¹/2/2 x3 x 3 7. Which…

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Q: A B C d Using integration by parts, Then k is? (a)-1.5136 5²x² ²x³ cos (x²) dx = k - S²x - [*x…

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Q: xpand the logarithm as much as possible. Rewrite the expression as a sum, difference, or product of…

A: We  have simplify above questions

Q: 23. Test the series below for convergence using the Ratio Test. Σ n2²n 8n-1 n=1 The limit of the…

A: Here we have, ∑n=1∞n22n8n-1

Q: Given: vector-valued function R(t) whose derivative R'(t) = (4t, 6t, −12t) (a) If R(0) = (-1,4,-5),…

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Q: The gradient of the tangent to the curve y=-3x³ + 4ax² - 5x + 4 at x = 1 is 2. The value of a is 2.…

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Q: Find the general solution of the ff.differential equations.1.)dy/dx=x+1/2(y+3) 2.)dy/dx=y^2(1+e^x)

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Q: S St. Not e (cos48)² 45 ds

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Q: A rectangular field having an area of 2500m² is to be enclosed by a fence, and two additional fence…

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Q: In the quadratic equation Ax²+BX+C =0 The roots are real and distinct. The roots are complex…

A: The given quadratic equation is Ax2+Bx+C=0

Q: 1) Find |R'(t)|, Make sure to simplify your answer 2) Find the distance traveled by a particle…

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Q: √√7 - t³, cos t³) t³, c 3 R(t) = (sin t³,-

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Q: FIND THE AREA BOUNDED BY THE PARABOLA x = 8+2y-y², THE Y-AXIS, AND THE LINES y = -) AND y = 3

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Q: A ball is thrown upward from the top of an 800 foot tower. It's height above ground, h, t seconds…

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Q: If fx √1- x4 dx = ge ½ A B 0 C D) 1 H|2 H|4 g(e) de, then 9

A: We can solve the given integral by using substitution.

Q: 2. Verify using the principle of Superposition that y₁ = ²* and y₂ = e* are solutions of y" - 7y'…

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Q: Solve ₂(x + 1)(x + 2)²(x²-1)dx with and without the even-odd theorems (show both solutions).

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Q: Find the area enclosed by r = = √2 sin 0 and r2 = cos 20.

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Q: The gradient of a curve is dy/dx + (x^2)/2 = 3x. Find the equation of the curve if it passes through…

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Q: II. Consider the polar curves C₁ : r = 3 (in blue) and C₂ : r = 2-2 sin (in red) and let R be the…

A: Let's solve. Two curves given r=3 and  r=2-2sin(theta).

Q: 14. For the series Σn=1 (-1)" 3n0.3+8 S4= Include 4 decimals in your answer. Now find a bound for…

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Q: Determine the value of x when the slope is its maximum for the function f(x) = 2cos (3x)

A: Given,  f(x)=2 cos(3x)

Q: 9 ▪C (1) = 5 + 77 + 71 1 10 13

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Q: One side of an open field is bounded by a straight river. Determine how to put a fence around the…

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Q: 3. z = x+y x-y

A: Given:        z=x+yx-y Partial derivative with respect to x:      ∂z∂x=∂∂xx+yx-y      Treat y as…