25. an = ln 12n+2 −9+4n

Q: 2. A student named Light happens to know that the total cost of producing a boxes x² of potato chips…

A: A student named Light happens to know that the total cost of producing  x boxes of potato chips is…

Q: Evaluate the integral. (Use C for the constant of integration.) √ 8 sin²(x) cos³(x) dx 8 8 sin³ (x)…

A: I=∫8sin2xcos3xdx

Q: equation, in slope-intercept form, of the line tangent to the curve with param + 4t and y = Int at…

A:

Q: Rewrite the sum using sigma notation. Σ 52 1 54 + 5 5 5 + 8 16 32 64 - (-5)+5 (3 5 2 - X + 5 128

A:

Q: 20.

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Q: Set up, but do not evaluate, an integral for the length of the curve. x = 7 sin(y), 0 ≤ y ≤ π/2 [²/²…

A:

Q: Consider the integral 9 3 1² ( 2²/2 + 5) dz dx X (a) Find the Riemann sum for this integral using…

A: Given integral  ∫59( 3x + 5 )dx

Q: Given u = 5i + 4j and v=4i - 3j, determine -9u - v.

A:

Q: Solve the initial value problem. x²y'+xy = 1, y(1) = 4 y =

A:

Q: ✓ 5) a) lim X-1 Hopital's rule 2 x²-7x +6 x2 - 5x-6 - b) lim ex- e - 2x X-0 2 x² Find the limit. IF…

A:

Q: 2. P √√2 √2 1 2 ন and Q 1 √3 2' 2 are two points on the unit circle. If an object rotates…

A: We use the conversion from rectangular to polar coordinates to solve the given problem.

Q: Solve the given LDE using the method of undetermined coefficients. (D² + 4D+5) y = 35e-4; y(0)=-3,…

A:

Q: Recall the Chain Rule and how it can be applied to find the derivative of a composite function. In…

A: As per our guild line we are supposed to answer only 3 subparts of a question.

Q: 03 3 Grwein (wave → ( x² - y²)³ zy <= Find 2 du - 5 dy @ (3,1) dx 2 dz.² 512 27

A: Given curve: x2-y2xy3=51227 To find 2dydx-5d2ydx2 at point 3, 1.

Q: Use the graph of the rational function f(x) to complete the statement. As x 27, f(x)→ -10 OO -2 +∞ 0…

A:

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: NOTE: Refresh your page if you can't see any equations. . to find the vertical asymptotes, take…

Q: 5. Perform the line integral [F-dr, for the vector field F(x, y) = (²²) i + (³²) j where the curve C…

A:

Q: Find all real solutions of the polynomial equation 6x6 + x³ + 29x4 + 5x³ + 19x² + 4x - 4 = 0. 0x =…

A:

Q: Find the value of the constant a such that the function f(x) is continuous for all values of x. 4…

A: fx=ax+4xx&lt;2ax2x≥2

Q: Determine either absolute convergence, conditional convergence or di Σ (-5)-n n=1 O Converges…

A: The given series is  ∑n=1∞-8-n [picture is not clearly visible, if it is any other digit instead of…

Q: Find the volume of the solid obtained by rotating the region x², y = 0, and x = 1, about the y-axis.…

A: NOTE: Refresh your page if you can't see any equations. . here we have ..............radius…

Q: Suppose that f(x) is a differentiable function such that f'(8)=5 and f(8)=3. If g(x)=cos(f(x)), then…

A: We have,  f'8 = 5f8 = 3gx = cosfx To determine: The value of g'8.

Q: Construct an equation where the area under the curve is 1.

A: construct an equation where the area under the curve is 1

Q: A solid is formed by rotating the region in the xy-plane bounded by the curves y = 7x², x = 1 and…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: A particle starts at the point P = (7, 7, 3) and moves along a straight line toward Q = (9, 6, 1) at…

A:

Q: 21. f(x) = ln (5 - x)

A: 11-u = ∑n=0∞ un = 1+u+u2+u3 +...

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

A:

Q: (d) J x5 + 1 +1 x³(x + 2) dx

A: To evaluate the following integral by using partial fractions. ∫x5+1x3x+2 dx Note: Since, the…

Q: Consider the function where b is a real valued constant and b 5. Fill in the following blanks: The…

A:

Q: 6. We are given 3 vectors: a =, b=, and =: Which pair(s) of vectors are parallel? a. b. Which…

A: a→=6,8,-2 ,b→=4,-2,4,c→=-3,-4,1

Q: Suppose -5 -7 [ f(x)dx = 1, [² f(x) dx = 10, -8 -6 [ f(x) dx = = -7 (1ƒ(x) — 10) da - = -5 [ f(x) dx…

A:

Q: 7. f(x) = 2 3-x

A:

Q: Find the standard form of the complex number 6 (cos+ i sin). Round values to the nearest hundredth.

A: Standard form of the complex number is a+ib , where a ,b are real numbers.

Q: 9. Find all the vertical and horizontal asymptotes for the following function and indi- cate the…

A:

Q: Find the centroid of the region bounded by the graphs of the functions y = 2x² x² +1 Y = The…

A: y=2x2, y=x2+1

Q: Find an equation, in slope-intercept form, of the line tangent to the curve with parametric…

A:

Q: If f(x) da = 16 and ¹ Answer: fr f(x) dx = 3.1, find f(x) dx.

A: We know that the formula int_a^b f(x) dx=-int_b^a f(x) dx

Q: Exercises 77-78: Critical Thinking ing for the given graph of an exponential function f. (a) Give…

A: To find the following for the given graph of an exponential function f. (a) To give the domain and…

Q: Sx (3-2x dx

A: Given that a function and we find the integration of this function by using reverse chain rule.

Q: (b) So = x-4 r2 – 52 + 6 dx

A:

Q: 5. Given F"(x) = -4 sin (2x) and F'(0) = -4 and f(0) = 2 Find f(1/2)

A:

Q: Differentiate f(x) = cos - ¹ ( f'(x) =

A: NOTE: Refresh your page if you can't see any equations. . take derivative apply chain rule:…

Q: 4. Suppose that the acceleration of a particle (in meters per second per second) is given by the…

A: Let a(t) ,v(t), s(t) are the acceleration, velocity and position of a particle respectively. vt=∫at…

Q: Solve the problem. 52) The long jump record, in feet, at a particular school can be modeled by f(x)…

A:

Q: A hot object cools down according to Newton's Law so that thours after the start, the rate that heat…

A: The rate that heat leaves are 26e-t3

Q: Let R be the region bounded by the graphs of x=y^2-4 and 1/8 y^4-y^2+2 as shown below. Calculate the…

A: x=y2-4 and x=18y4-y2+2

Q: 10. Find the linear approximation of the function g(x) = √√/1 + x at a = 0 and use it to approximate…

A:

Q: For the following exercises, use the second derivative test to identify any critical points and…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  take the partial…

Q: Use the limit comparison test to determine if the series converges of [ 30².6 n-o O Converges O…

A:

Q: e 흐 e

A: We have to categories the eigen values.