x2 - 3x - 10 s 0 ² - 10 s 0 O [5, 0) (-0∞, -2] or [5, ∞) O(-00, -2] O(-2, 5]

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Q: Consider the points A(1, -1,4), B(2,-3, 2), C(-1, -2, 2), and D(4, 3, –6). (a) Find the volume of th...

A: The answer is shown in step 2.

Q: 2sm x-1 2. y= COST+2

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Q: I Solve the ff. problems using trigonometric or inverse trigonometric functions Show illustration, d...

A: maximize the function

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Q: Find all critical points of the function f(x) = x-15 – x-16. (Use symbolic notation and fractions wh...

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Q: Find the vector component of v = 2i – j+ 3k along b = 2i + 3j + 6k and the vector component of v ort...

A: The vector component of  v along b is the projection of vector v onto b is projbv = v.bb2b . The vec...

Q: (2-sec?x) lnae sec(3A -x) sec'x dr to be integrable using the formula What should be the value of A ...

A:

Q: Use implicit differentiation to find the 2nd derivative of x2 y + y2 x=-2

A: By using implicit differentiation to find the 2nd derivative of x2y+y2x=-2.  

Q: The Cartesian equation of a line is given by 3x – y + 6 = 0. Determine the acute angle that this lin...

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Q: 3. A function is defined by the equation y = V3x + 4, where does the slope of the tangent line equal...

A: Given,           A function is defined by the equation y=3x+4 and the slope of the tangent line     ...

Q: 5. Find the area bounded by the curves y = x2 – 2x and y = 5x. Give exact answer.

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Q: What is the integrable form of / sin-c cos-sin@ do? 2 -2 | sinu du 2 | cosu du 1 – u² du u² – 1 du

A: In this question we have to find Integral form of the given Integral.  

Q: eiz-e-iz 1. Show that Sin z 2i

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Q: 4. Ir log a 1, log, 81=b and log, 4 2 then find the value of log ().

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Q: If y = u² + 6u - 2 and u = 4x² + 8x + 1. Find dy/dx.

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Q: The expression below is an evaluation of which integral? * 1 6 2æ + 2 In|æ| 2 In|æ – 3|+c | 523 + 62...

A: Using partial fraction. 

Q: Write an equation for the function graphed

A: Given graph:

Q: Use implicit differentiation to find an equation of the tangent line to the graph of the function at...

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Q: e In (xle ) (2– sec²x) sec(3A – x) sec³x dr What should be the value of A for to be integrable using...

A: integration by substitution method 

Q: The population of treated mosquitoes comes in thousands, in a tropical rain forest at time m, in mon...

A: Given: For (A), Sketch:

Q: (-) (4) Let an = sin for n EN = {1, 2, 3, ..}. sin-1 n+1 (a) Determine if the sequence {an}=1 conver...

A: Given problem:-

Q: In how many ways can John, Leo, and Mike be seated in a row? a. 3 b. 4 c. 5 d. 6

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Q: Given revenue and cost functions R(q)=90q−0.3q2 and C(q)=14q+550​, find the marginal profit at a qua...

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Q: 3x dx 1. S 2x 4-1

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Q: Evaluate the integral. Answer should be expressed as a decimal value (5 decimal places, example 0.01...

A: Put y =5secthetha and solve it. 

Q: Which of the following is an improper integral? In3e A cOSx dx xe (B n(x++1) dx dx 2x + 8 D dx x² - ...

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Q: Find the diameter of the of the circle with center at (-5, 3) and tangent to the line 8 – 2x = 2. O ...

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Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Th...

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Q: b -x" + -xP +C. What a d heral antiderivative of (3x2 - 4) 2x2 can be written as m m

A:

Q: cos2x – sin2x cos2x -F(x)+C•What is F(0)? For What is F(x)? cosx – sinx 3 (sinx – cosx)* 2 sinx + -c...

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Q: If 5 tan 0 – 4 = 0, then the value of 5 sin 0 – 4 cos 0 is 5 sin 0 + 4 cos 0 - 3 Option 1 Option 2 1...

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Q: Consider the function f(x) = 4x - 8r on the interval (0, 4]. Find the absolute extrema for the funct...

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Q: 7. g(t) = tỉ %3D

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: cos2x – sin2x cos2x For +C: What is F(x)? dx= 3 cosx - sinx

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Q: Suppose that replacement times for washing machines are normally distributed with a mean of 8.6 year...

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Q: 10. x= cost; y = sin't

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Q: Find dy/dx of the following functions. A. y = x⁵tan5x B. y = esec2x

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Q: I Find the second derivatively") of the following functions and simplity the final results. 1. y=x-x...

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Q: 10. x= cos't; y sin't

A: To find the second derivative.

Q: cos2x – sin2x cos2x - dx=- + C• What is F(x)? For cosx – sinx 2 sinx - cos?x – cosx+ sin³x 3 3 (sinx...

A:

Q: uestion 13 d +=x² +C. n P a b ze general antiderivative of (3x²-4)²x² can be written as m hat is the...

A: We are asked to find the antiderivative of the general.

Q: The 26th term of a Fibonacci sequence is 121393 and the 27th term is 1916418. What is the 24th term?

A: F0=0, F1=1Fn = Fn-1 + Fn-2,  n≥2 F26 =121393F27 =1916418F27 =F27-1 + F27-2F27 =F26 + F25F25 =F27 -F2...

Q: The relationship between a professional basketball player's height H (in inches) and weight W (in po...

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Q: I Find the second derivativety") of the following functions and simplify the final results. 1. y= x-...

A: Let's find. 

Q: Solve the following triangle. B= 70°, C= 30°, b=7 (Simplify your answer) (Type an integer or decimal...

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Q: Find the average value of the function f(x) = (1+æ*) over the interval [0, 2]. Select one: O None. O...

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Q: 3. Use Gauss-Jordan Method to find the solution of the system of equation below. Enclose the Gaussia...

A: In this question we have to find the solution of the system of the equation using the Gauss-Jordan M...

Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the c...

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Q: (2- sec?x) " sec(3А — х) e In (a le) sec3x -dx to be integrable using What should be the value of A ...

A: