Find the area in the first quadrant that is inside the circle r = 4 sin 0 and outside the lemniscate r2 = 8 cos 20 1 + 2/3 – 2 O4 + 2/3 - 2 O * + 2/3 – 2 + 2/3 – 2

Q: 2.5.042. Find the derivative of the function. s(t) t2 + 8t-5 %3!

A: Topic:- derivatives

Q: Given: sing = - e is a third quadrant angle, and tand = - is a second-quadrant angle; find cos(e+ d ...

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Q: At a given instant the legs of a right triangle are 16 cm and 12 cm, respectively. The first leg dec...

A: Given: -The legs of a right triangle are 16cm and 12cm, respectively. The first leg decreases at 12c...

Q: Which of the following equations is an ellipse? Ay²= x² + 4 (x– 2)² , (y+2)² (B) 1 25 25 x2 + 4y2 - ...

A: Given: - The four equations,  (a) y2=x2+4(b) (x-2)225+(y+2)225=1(c) x2+4y2-16=0(d) 4x2+4y2-5=0 To ch...

Q: I'y" The expression log| z18 can be written in the form A log(x) + Blog(y) + C log(z) where A = B = ...

A: We can find the answer i.e the value of  A, B & c  as below.

Q: The figure on the right shows the graph of f and a line tangent to the graph of f at x = 7. Find f(7...

A: Given query is to find the value of f(7) and f'(7).

Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. 92n an = n! Use ...

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Q: Find the first and second derivatives of the function. f(x) = (x2 + 6)5 f'(x) %3D f"(x)

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Q: Evaluate f x³e2x dx using integration by parts

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Q: Give the coordinates of the vertex to the right of the center in the equation: (x- 3)2 (y-1)² =1. 9....

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Q: 20. DETAILS LARAPCALC10 2.7.021. Find the slope of the graph of the equation at the given point. (If...

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Q: 13. Find the solution set of e) 2x? – 3x – 4|<5

A: Given query is to find the solution of the expression.

Q: Find the derivative of the function y = 1ln(cos 2x)+4tan? (3x) Write the value of y (0) in the box b...

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Q: 3 т2 dm )2 т3-2

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) substitute ...........

Q: Name the quadrant in which the angle 0 lies if cot t > 0 and sint < 0. O II OIV O Not possible to de...

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Q: Use Simpson's Rule and n = 4 to find an approximation for the definite integral Vr +1 dr %3!

A: Here, the given function is: f(x)=x3+1 Now, the Simpson's rule formula to approximate the definite i...

Q: O XsinCyldx +(x^t)cos(y) dy=0

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Q: One leg of a right triangle is 6 inches longer than the other leg. How long should the shorter leg b...

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Q: Find the slope of the tangent to the curve y = 1/Vx at the point where x = a. Use the equation : f(a...

A: This question can be solved by applying the given formula with limit h approaches 0

Q: The path r(t)=(5 sin t) i+(5 cos t) j describes motion on the circle x^2+y^2=25. Find the​ particle'...

A: We have to find ​ particle's velocity and acceleration vectors at t=π/3 and π/6 . Given  r(t)=(5 sin...

Q: fa 4 – 3 cos x) sin² x dx

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Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral wi...

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Q: For the next six questions, consider the differential equation: y" + 4y = g(x), g(x) #0 Using the me...

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Q: 2. Acylindrical tank with radius 5m is being filled with water at a rate of 3 m'/min. How fast is th...

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Q: Evaluate the integral using trigonometric substitution. 1 dx xV1 + x6

A: NOTE: Refresh your page if you can't see any equations. . ...............(1)

Q: In the previous step we determined that [(t - 2)°] = 35t°(t' – 2)4. Use this to complete the derivat...

A: Given query is to find the derivative of the expression.

Q: A cylindrical steel storage tank is 15 feet tall and 6 feet in diameter. Calculate the change in vol...

A: Note: As there are two different questions in the picture we will solve the first question by defaul...

Q: tan 361° – tan 31° 1+ tan 361° tan 31° Find the exact value of V3 O- V3 O. 3. O-V3 V3 01 О-1

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Q: solve for nonbemagnenous dileremnial equation.

A: We have to find the general solution of initial value problem

Q: Evaluate the following definite integrals, t(1 -t)² dt = а.

A: Solution: ∫-11t(1-t)2dt Expand=∫-11t-2t2+t3dt

Q: y - 3y + 2y = 3e + 2e2 %3D

A: Given: -The ordinary differential equation is, y''-3y'+2y=3ex+2e2x To find: -The solution of the giv...

Q: Problem 13: Graph the function below. State the range and domain using (x+1 if -9 3 if -3<x<3 if g(x...

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Q: Determine whether the series converges, and if so find its sum If the series diverges, indicate that...

A: The given series is summation of 1/(81k2+63k-8).

Q: solve for nonbermagnenous dilkeremrial equation . 4x

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Q: 2x Use substitution to evaluate the integral dx (x² + 3)°

A: We have to apply rules of integration to solve the problem Power rule: xn =( 1/n+1)(x)n-1

Q: f(x)=ax^2+b, f(4)=−3 and f′(4)=5, find the coefficients a and b. a= b=

A: Given query is to find the value of a and b.

Q: Determine the general antiderivative below. (Use a capital C as the integration constant.) (x+3)/x-1...

A: We have to find integral

Q: Use technology to evaluate the given expression. Take 1.3 7.3 5.7 and B = 5.3 0 1.6 -2.34 A = \ 44.9...

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Q: (y+2xy")dx +xdy = 0

A: First order differential equation :           Consider the differential equation                   d...

Q: Does dy/dx= y-2y/x for ln(2xy)=x

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Q: Convert the angle 20° to radians. 18 O 97 10 9 1877 none of the above Submit Question O O

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Q: dy by implicit differentiation. dx Find x?y3 - 12xy2 = 8 dy dx

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Q: Find the greatest volume that a right circular cylinder can have if it is inscribed in a sphere of r...

A: Here we have to find the greatest volume that a right circular cylinder can have if it is inscribed ...

Q: Find the area under the curve Y 0.5x- 1.5 from x = 9 to x = t and evaluate it for t 10 , t curve for...

A: The curve y=0.5x-1.5

Q: A straight 33-ft long ladder leans against a building so that the angle between the ground and the l...

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Q: Find dy/dx by implicit differentiation for tan-(r²y) = sin(²) + 3xy

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Q: In the answer box below, type an exact answer only (i.e. no decimals). You do not need to fully simp...

A: Topic:- trigonometry

Q: 2) For each of the following Sequences select whether they converge or 4) (4+lnCo) a), Iconveryes to...

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Q: What is the second derivative of f(x)=x^2lnx

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Q: Find the surface area generated by rotating the given curve about the y-axis. x = et - t, y = 4et/2,...

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