Find the most general antiderivative. [(-3 cost) dt

Q: Solve the system of first-order linear differential equations. (Use C₁ and C₂ as constants.) Y₁' =…

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Q: Find the length of the curve z= =t³6t², y=t³ +6t2, on the interval 0 < t < 1.

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Q: Given f(x, y) = = − 5x¹ + x²y³ - y, find fa (x, y) = fy(x, y) = fxx (x, y) = fay(x, y) = fyr (x, y)…

A: Given  fx, y = -5x4+x2y3-y6

Q: A constant volume of cookie dough is formed into a cylinder with a relatively small height and large…

A: Volume of a cylinder is given by V=πr2h, where r is the radius and h is the height of the cylinder.…

Q: A table of values of an increasing function f is shown. X f(x) 10 lower estimate upper estimate 14…

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Q: Find all solutions of the equation 3 sin² x - 7 sin x + 2 = 0 in the interval [0, 2). The answer is…

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Q: Question 11 Textbook 70- 60 50 40 30- 20 10 Question Help: Video ( > -19 10 20 30 40 50 60 Miguel is…

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Q: A stone is dropped from the upper observation deck of a tower, 950 m above the ground. (Assume 9 =…

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Q: 165. Use Green's theorem to evaluate S (y² + x³) dx + x^dy, where C+ is the perimeter of square [0,…

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Q: If f(x): = 0 * sin(x) S V4 + t2 dt and g(y) = = [ f(x) f(x) dx, find g ¹*(17). 6

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Q: heated object is placed in a room and the temperature of the object (in degrees Celsius) after x…

A: Given query is to find the initial temprature.

Q: Let f(x) = x + ln(2 − x). (a) Find the local linear approximation of f at xo = 1.

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Q: Multiply A321 -1 10 -7 0 Show your your work!

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Q: (ey + 1)²e-ydx + (ex + 1)³e¯*dy = 0

A: Given differential equation ( ey + 1 )2e-ydx + ( ex + 1 )3e-xdy = 0 ( ey + 1 )2e-ydx = - ( ex + 1…

Q: the curve. -6 r = 7+ sin(49) -4 -5 y 6 4 2 -6 -5 2 4 6 -6 -4 -2 4 2 4 6 -4 2 4

A: Given Equation:- r=7+sin4θ

Q: COS U = sin(u) = 12/13 cos(u) 5/13 sin(u-): = -5/13 -cos(u-) = -12/13 5 13 and sin u is negative.…

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Q: Using the concept of the Coefficients linear in two variables, find a particular solution of the…

A: Let's solve given differential equation.

Q: APPLIED CALCULUS (UPVOTE WILL BE GIVEN. PLEASE WRITE THE SOLUTIONS LEGIBLY. NO LONG EXPLANATION…

A: We need to find out the vertical and horizontal asymptotes.

Q: The sequence is defined recursively. Compute the first five terms a₁ = 0; an = 2an-1, n ≥ 2 a₁ = a2…

A: Given: So,              a2=2a1=20=1a3=2a2=21=2a4=2a3=22=4a5=2a4=24=16a6=2a5=216=65536

Q: COMPOUND INTEREST How quickly will money double if it is invested at an annual interest rate of 7%…

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Q: 7. Find the general solution of the given equation. y" + 2y + 2y = 0.

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Q: 38x The function f(x) : 31 + 2x² value occurs by using calculus. has one absolute minimum value.…

A: We need to find out the value of x where absolute minimum value occurs.

Q: Express the integral as a limit of Riemann sums using right endpoints. Do not evaluate the limit. [°…

A: To express the integral as a limit of Riemann sums by using right endpoints.∫466+x2 dx

Q: Express the Cartesian coordinates (1,1) in polar coordinates in at least two different ways Write…

A: Topic - cartesian coordinates to polar coordinates conversion We are given cartesian coordinated…

Q: etup, but do not evaluate, the integral which would give the area of the region bound by the z-axis…

A: Given query is to setup the integral for area .

Q: Consider the polar curve r = sin(3θ). Sketch this polar curve on the interval 2π/3 ≤ θ ≤ π.

A: Given Equation:- r = sin(3θ)

Q: Find f'(2) if f(x) = h(x) · (x² + 3) where h(2) = -3 and h' (2) = 2. Answer:

A: We need to find out the derivative of the function.

Q: Evaluate the definite integral. 6.³ 0 2 1 + 1x² -dx

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Q: UPVOTE WILL BE GIVEN. PLEASE WRITE THE COMPLETE SOLUTIONS LEGIBLY. BOX THE FINAL ANSWER. Subject:…

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Q: dy Find and dx dy dx || d²y dx² x = et, y = te-t d²y dx² For which values of t is the curve concave…

A: dexdx=exd dx(ab)=bdadx-adbdxb2dydx=dydtdxdt

Q: b) -10 lim g(x) c) 104 LO 009 (2) lim, o 9 (2) = [Select] -00 lim, ooh (x) = = -5 [Select] g(x) has…

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Q: Find the intervals on which f is increasing and the intervals on which it is decreasing. f(x) =…

A: Topic - increasing and decreasing intervals of a function we are given,f(x) =-3+x2function is…

Q: d Calculate dx- In x² sin³ t dt

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Q: (a) Show that the equation π rye" +arctan(r2 +y) = 4 implicitly defines y as a function x near the…

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Q: Espanol Consider a triangle ABC like the one below. Suppose that B = 100°, a = 7, and C = 24. (The…

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Q: 2. f'(-0.1) -5.84 3. f'(-0.1) -5.74 4. f'(-0.1) -5.64 5. f'(-0.1) ≈ -5.54 (iv) Use p4 to estimate…

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Q: the following limits. sin² (5x) 72 Evaluate (a) lim 0 cosx-ex (b) limx→+0+ In(1+x²) (c) limx→0 (2)…

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: 11. Find a vector orthogonal to (4,2).

A: To find a vector orthogonal to 4, 2.

Q: Suppose you are slicing an 11-inch-long carrot REALLY thin from the greens end to the tip of the…

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Q: List the first five terms of the sequence. ₁ = 6, ³n+1 = 2a +5 21 22 N 23 لیا 34 25 = |||| =

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Q: Solve the following DE: y'=y-ay-³e-2r O e²¹ = y(x²+C) 2x O e ²¹ = y²(x²+C) -2x ○ e− ²¹ =y²(x+C)…

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Q: Evaluate: lim (sin¯¹x)". -1 +0←x 8

A: We have to evaluate the given limit.

Q: Given the differential equation y'=e^x/y and y(e)=1, what is C?

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Q: Solve the following DE: y'=y-xy³e-2r O e²¹ = y(x² + C) 2x O e²x=y²(x² + C) -2x = y²(x + C) Oe-2x =…

A: To find solution of given DE.

Q: Determine the intervals on which the following function is concave up or concave down. Identify any…

A: Given that function f(x) = x4-2x3+6 First derivative f'(x) =ddx( x4-2x3+6)=ddx( x4)-2ddx( x3)+ddx(…

Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

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Q: If ƒ'(x) = (2x −— 3)² and f(3) = 5, then, f(x) = =

A: Topic - differential equations We are given, f'(x)=(2x-3)2 and f(3)=5we know that∫xndx =xn+1n+1+C

Q: Use double integration to find the area of the region enclosed by the graph y = ₁, the x-axis, and…

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Q: ii. 1. A diver jumps off a springboard 10 m above water with an initial upward velocity of 12 m/sec.…

A: Let's find maximum height, velocity when she hits water.

Q: Consider the following integral. f(x) dx where Rewrite the given integral. 0 [₁ 4 f(x) dx = Evaluate…

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