Use double integration to find the area of the plane region enclosed by the given curves. y = 25 sin a and y = 25 cos x, for 0 < x < - 4

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Q: r=5 sin  18t  i−5 cos  18t  jr=5⁢ sin⁢  18⁢t⁢  i-5⁢ cos⁢ ⁢ 18⁢t⁢  ⁢j It is a circle of radius 1818…

A: We have to find the centre and radius of the circle.

Q: Find div F and curl F if F(x, y, z) = 3e™Y i– 3 cos yj+ 10 div F=

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A: According to barteleby guidelines I can only answer the first question of the three given. Please…

Q: Solve using Gauss-Jordan elimination. X1 - X2 + 2x3 - 4×4 = - 3x1 + 5x2 - 3x3 + 13x4 = - 10.9 2x1…

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Q: Quéstión lốf 4 f(x) = (x³ + 2x)(2x – 1)5

A: Since, you have posted multiple questions. As per guidelines, we"ll solve only first question. If…

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Q: 6. lim (sinx)* X0+

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Q: Find the indefinite integral. (Use c for the constant of integration.) (4t³i + 6tj – 6ik) dt

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A: See the details solution in below

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Q: Evaluate the integral. 2 (3u - 5)(u + 2) du -1

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Q: y+12 2.) Find the area bounded by the curve x =: and x 2 (USE VERTICAL AND HORIZONTAL STRIPS)

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Q: 13. 1²V2 - 1 dr

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

Q: ||r'(t) × r"(t)|| Use the formula k(t) to find k(t). ||r(t)||* 3 r(t) = e*i+e*j K(t)

A: First diffrenciate. And then put all the values in formula.

Q: Find the volume V generated by rotated the region 30) Figure 1 for Problem 30 Figure 2 for Pro fuに…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: A company is planning to manufacture snowboards. The fixed costs are $400 per day and total costs…

A: Cost

Q: A lighthouse is on an island 250 meters off shore. The lighthouse beam makes a full turn every 7…

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Q: Solve the differential equation Integrating Factor by Inspection: (x* – y*)dx + xy³dy = 0

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Q: Q-What is the volume of the solid obtained by rotating the region bounded by the graphs of y = vx, y…

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Q: D. 32 В. -32 4. What is f y'(t)dt? A. - 16t2 - 100 t + C 16t2 - 100 t C. – 16t2 + 100 t + C D. -…

A: According to company rule, we can answer only First question and rest can be reposted.

Q: dx 4. Find the integral 2-1)3 a. In (**1) b. In () - + C x-1 2x2-2 + C x-1. 2x2-2 c. - In -+ C 2x2-2…

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Q: Qs show that : sinh CA+B) = SinhA. coshB + Cosh A. simhB

A: This question is related to Hyperbolic functions, we will solve it using given information.

Q: Find V (V x F), if F(z, y, =) = 3e""i+7ze'j – 3e"k. V. (V x F) =

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Q: 3 2t 21 Let r(t) = 3t - 1' 32 5' 4t - 3 Find F'(t) F'(t) - < Question Help: O Video Add Work Submit…

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Q: Find the limit. NOTE: Enter the answer using round brackets. t2 + 8 1 lim t++o \ 5t2 + 6' 5t (0,0)

A: Simplify the component wise

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A: To solve the differential equation by using method of undetermined coefficients.

Q: Find the limit. NOTE: Enter the answer using round brackets. t2 + 8 1 lim t→+∞\ 5t2 +6' 8t (?, ?)

A: To evaluate the following limit.limt→+∞t2+85t2+6, 18t=?, ?

Q: Question 3 of 4 (x² + 1)5 y = (23 – 1) – 1)

A: According to guidelines, we must answer only one question of the multiple questions given. Please…

Q: Find the area bounded by the curve y = 9 - x2 and the x-axis. a) Horizontal Strip b) Vertical Strip

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Q: Each of the following statements is an attempt to show that a given series is convergent or…

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Q: 2. Let f(x) be a continuous function on R. The following is known about f(x): • The domain of f(x)…

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Q: #1 Evaluate F• dr. F(x, у) — хі + уј C: r(t) = (9t + 2)i + tj, 0sts1

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Q: b. Vr4 – 2.x² + 1 dx

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Q: Using appropriate substitut tan³x dx sec5x is equal to

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Q: Find div F and curl F if F (x, y, z) = 10e*V i – cos yj+ 3 sin zk. %3D div F= curl F=

A: div F=∂Fx∂x+∂Fy∂y+∂Fz∂z∂Fx∂x =ddx(10exy)=10y exy∂Fy∂y =ddy(-cos y)=sin y∂Fz∂z=ddz(3 sin2z)=3(2sinz…

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Q: Exercises Distinct Real Roots of Auxiliary Equation Find the general solution 5. (D² – 1)y = 0

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Q: -2x (1+ee) dx e

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Q: 5. lim X-0 e2x-1

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Q: 1.) Find the area bounded by the curve y?= 1 - x and 2y = x + 2 2.) Find the area bounded by the…

A: Solution is given below:

Q: Calculus Question

A: Matrices

Q: O f(-1) = 3, lim f(x) = 3, lim f(x) = +∞ O f(-1) = 3, lim f(x) = -o∞, lim f(x) = +o0 O f(-1) = 1,…

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