3 Determine the equation in the form f(x)%3= for the function with a vertical kx - c asymptote at x = -1 and a y-intercept at -0.25.

Q: The integral Cosr -e SInx sinx +x +e dr may be written as „nsinx me' + px+ ge* + C, where m, n, p, q...

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Q: dx - = In[F(x)]+C• What is f(/3) if C = 0? For (x+x³) (x Tan-!x+1) 3 6. V3 +

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Q: 25. For the function f(x) = 45x3 - 3x5, determine the interval(s) for which f(x) decreases. O (3, 3)...

A: We will solve this question by  differentiating f(x) and then finding the intervals for which the fu...

Q: An insurance company typically offers discounts for purchasing larger amounts of life insurance cove...

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Q: The integral dx may be written as me" +px+qe™+ C, where m, r ,sinx equal to zero. Evaluate m +n+p+q+...

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Q: If cos? 0 – 3 cos 0 + 2 = sin² 0 and 0 an acute angle, then the value of (4 cot 0 + 2 csc 0) is V3 8...

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Q: dx = In[F(x)]+C.What is F(/3) if C = 0? For (x+x³) (x Tan-lx+1)

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Q: Given cost and price​ (demand) functions C(q)=110q+43,000 and p(q)=−1.9q+880​, what price maximizes​...

A: Please see the below picture for detailed solution. 

Q: Show that the vector field A (3x?z + y?)a,+ 2xya, + x³a, is conservative. %3D

A: Given problem:- Show that the vector field A = (3x²z+ y²)ax + 2xyay + x³az is conservative. =

Q: dx =In[F(x)]+C•What is F(/3) if C= 0? nk+1) For (x+x³) (x Tan

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Q: d²y dy 30y = 0 dx2 dx

A: Given :d2ydx2-dydx-30y=0

Q: What is the integrable form of sin() du

A: The given integral is: I=∫sinθ2cosθ2sin(θ) dθ=12∫2sinθ2cosθ2sin(θ) dθ=12∫sin(θ)sin(θ) dθ=12∫1-cos2θs...

Q: I. Solve the following: 1. Given: y 2x - Find: a.) dy/dx b.)y" 2. Given: 16y – 9x = 144, find y"

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Q: The number of solutions to cos 0 = – c, with 0 < c < 1 and O 2 Infinitely many

A: This question can be solved graphically.

Q: Consider the following vector field F (x, y, z) = yz cos (xy) i+ xz cos (xy) j+ sin (xy)k (a) Use th...

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Q: dx For (x+x³) (x Tan-'+1) =»[F(x)]+C. What is F(/3) if C = 0?

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Q: dr = b(cos Odr +r sin Ode) Ans. r = c(1-bcos 0)

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Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

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Q: dx -= In[F(x)]+C What is F(3) if C = 0? For (x+x*) (x Tan-lx+1) 1 V3 3 R| |6 一3

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Q: Find the area of the region bounded by the curve y2-4x and the lines x = 1 and x = 4. O 21/2 square ...

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Q: . What is F(/3) if C = 0?

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Q: 10* -dx may be written as Aln secB*+ tanB*| +C. where A, B, and C are constants not equal to zero. E...

A: ∫10xcos 10xdx Substitute 10x=u⇒10xln 10 dx=du⇒10xdx=1ln 10du =∫1ln 10ducos u=1ln 10∫sec u du=1ln 10l...

Q: ·sec-x)" sec'x 23. What should be the value of A for -dx to be integrable using the formula | u" du?...

A: the integration of the integral is (2-sec2x) eln(pi/e)sec3x/Sec(3A-x).

Q: Solve the initial value problems. 2. 2y" – 9y' + 9y = e3* y(0) = 0, y'(0) = - 8

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Q: O Use the divergence theorem to evaluate F-dS, where F (x, y, z) = zxi – e"j+ 4zk and S is the surfa...

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Q: Find the equation of the circle with center at (3, -7) and diameter equal to 4 points 8 units. * x? ...

A: standard form of circle

Q: Let a, b be real numbers and consider the integral (ax² + b) cos(x)dx. Using integration by parts wi...

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Q: Evaluate the triple integral V++dz dy dz. sb Init bnoos di dire nldeng

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Q: cos2x – sin2x cos2x dx3D -C. What is F(x)? For cosx – sinx

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Q: CHAIN RULE DERIVATIVES Date Directions: Differentiate the given functions. 2.) G(X) - T52"

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Q: c). Classify the equation below with all the possible characteristics and properties of a differenti...

A: General form of Linear differential equation of first order and first degree is given by dydx+yP(x)=...

Q: In (rle) sec³x (2– sec²x)«ma/2)sec³x What should be the value of A for dx to be integrable using the...

A: we have to find the value of A. 

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j...

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

A: Solved below

Q: Given cost function C(q)=q3−125q2+2600q​, what quantity minimizes average​ cost?   It would be enter...

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Q: sinx sinx +x cosx - e +e The integral / dx may be written as me"sinx + px + qe* + C. where m, n, p, ...

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Q: The expression below is an evaluation of which integral? * 1 2 + 83 In|w| In|u² + 9| +c 18 2+ w4 dw....

A: option 3 is correct, see the solution, please thumbs up, if your doubt is cleared.

Q: Check if the following is true or false: 3 (e" – 7)da = e Select one: O True O False

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Q: Find the area bounded by the x- axis and the graph of the function f (x) = 4x² + 8x +1,0 <x 3. (4 II...

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Q: What is the integrable form of sin-cos-sino de? 2 (A -2 | sinu du B / Ju?- 1 du 2 /1-u² du D cosu du

A: To find out the correct integrable form. 

Q: cos2x sin2x cos2x For What is F(x)? -dr=-F(x) 3 +C: cosx - sinx (sinx – cosx) | (cscx – secx)3 есх 2...

A: This is the question of indefinite integration.

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: 18. Which of the following integrals is equal to the integral s(3x-5) dr? 3ו7. A. 2 |dz 3 В. -2 f(2)...

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Q: Determine the convergence or divergence of the following series. 1 (a) Σ (Use Integral Test.) n(ln n...

A: Since you have asked multiple questions in a single request we would be answering only the first que...

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

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Q: Evaluate the integral. Answers should be expressed as an integer (no decimals), no spaces, no units....

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Q: Given Cost and Revenue functions C(q)=q3−8q2+52q+5000 and R(q)=−3q2+2500q​, what quantity minimizes ...

A: Minimize marginal cost

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.