(x) = x² tan 3x+cot 3x

Q: Simplify: 1 1 + csc(0) + cot(e) csc(0) - cot(e) A 2sin(e) B 2 sin(8) 2 sin(8)

A: 1csc(θ)+cot(θ)+1csc(θ)-cot(θ)=csc(θ)-cot(θ)+csc(θ)+cot(θ)csc(θ)+cot(θ)csc(θ)-cot(θ)

Q: A force of 3.0 pounds is needed to stretch the spring to 1.0 ft. from its natural length of 10…

A: Given problem:- A force of 3.0 pounds is needed to stretch the spring to 1.0 ft. from its natural…

Q: If u = ₁+₂y+z, where a₁, A2, A3 al constants and J²u J²u J²u น a +a+a = 1. Show that + + = U. მ2 მყ2…

A: This question is based on Partial diffrentiation.

Q: The value of the integral in terms of u is? (a). 2u³ + 6u + Arctanu + C (c). 2u³-21n|u³ +1| + C dx…

A: Given

Q: A man 1.8 m. tall is walking at the rate of 1.2 m/s away from a lamp post 6.7 m high. At what rate…

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Q: -2 What is the value of the definite integral e* dx? -4

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Q: Which ONE of the following statements is FALSE? OA. If f(x,y) has a saddle point at (a,b) the…

A: Maxima and minima

Q: 5. The region is bounded by y = x³, y = 2x + 4 and y = -1. Then, Area region = [*f(x) dx + [[g(x)…

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Q: 2. S 2 tan x secx - tan x d.r

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Q: Determine the intervals on which the function is concave up or down and find the value at which the…

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Q: dt dx dt -2x=4; where x(0) = 1

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Q: The region is bounded by y = x³, y = 2x + 4 and y = −1. The x-coordinate of the centroid of the…

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Q: integrate * S(4√r – V√r² – 6√r³) dr 8 ·12 3 r³ – 2/4 r ² + C 5 35 r-ri-24r + C ² 35 24 3²-5r³+²+ C…

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Q: Evaluate the integral given below. Check your answer by differentiating- NOTE: Enter the exact…

A: To evaluate the integral given below. To check theanswer by differentiating.∫16t-6 et dt=?+C

Q: Which of the quantities is nearest to the value of * exp 0.003 1.001 cos(0.002) ? O 1 O 1.001 O…

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Q: The series representation of f(x) = n(x²-1) is given by power OA ¹+¹, -1<x<1. n=] } + [ B. None of…

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Q: Find the volume generated by revolving about the x-axis, the area bounded by the line 2x + 4y = 4,…

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Q: Use the shell method to find the volume of the solids generated by revolving the shaded region about…

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Q: The figure is the graph of the derivative, f', of a function f on [-3, 3]. Determine the intervals…

A: All answer is given.

Q: A rope that weighs 0.5 lb/ft is attached to a bucket filled with cement plaster that weighs 22 lbs.…

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Q: [CLO-3] The second derivative f"(x) of a function is given. Use this information to determine where…

A: Here, given that f''(x)=x2(x-7)(x-2)

Q: day dx5 + day dx4 - 6 d³ y = 0 dx³

A:

Q: terval of convergence of the series Σ(√n+1-√n)(x+2)" is given by -3<x<-1.

A: It is convergent when  |x+2|&lt;1  -1&lt;x+2&lt;1  -3&lt;x&lt;-1

Q: Given that dy/dx = (x^2) and y=3 when x = -1, find the function f(x) in terms of x y-x+c--1 C

A: dydx=x23=x23

Q: Set up the integral representing the area of the region between the curves z = -1, x = 4, y = 22-2²,…

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Q: A manufacturer is planning to sell a total of 500 machines to both foreign and domestic firms. The…

A: Let's find revenue function.

Q: fu = eª₁²+₂y+a, where a, a, a3 are constants and 8² u 2² u 2² u a² + a² + a² = 1. Show that + + = U.…

A: Given problem:-

Q: S (3-√5x) dx √7x

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Q: Consider the region on the 1st quadrant bounded by y = √√4 — x²,x and y - axes. If the region is…

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Q: Determine the graph of the area between the curves bounded by y = -x² + 1 and x=y A B C D

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Q: 1 The volume of y = (3x+1)+,x=0, x=8,y=0 O (28/9) T O (26/3) T (1372/9) π O (248/9) T

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Q: 4. x= 3+4 sine, y = 3cos0-4

A: Note:- I am solving here first 2 parts of this question. Second derivative and draw the figure . But…

Q: Let L(r) be the linearization of f(x) = sin x + 1 at the point x = . Find L(π/2).

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Q: 5 Given cos(8)= and the terminal side of 0 lies on the fourth quadrant. What is the value of cos 05…

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Q: Which of the following equations can be derived from the partial fraction decomposition of a…

A: We can solve this problem as follows:

Q: Find the volume generated by revolving about the x-axis, the area bounded by the line 4x + 8y = 8,…

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Q: 2. Using your calculator, determine how many solutions the system has. Then without a calculator,…

A: This question is based on solution of Polar function.

Q: Choose among the following suitable to define the given integrations * :fx √x + 1 dx Not suitable…

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Q: 12 The value of the definite integral fm1² √ex – 9 dx is in the form F (b) – F (a), where a 19 and b…

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Q: y = 3sinh (3t) 3 s² +9 A) 6 s² +9 3 S² - 9 6 S²-9

A: Given function is y= 3sinh(3t)

Q: 3. Stan tan³ 3x sec ¹ 3x dx

A: As per our company guidelines, we are supposed to answer only one question. Kindly post other…

Q: The domain and the range of z=cos-¹(x²-y-3). are represented respectively by O A. ¨D={(x,y) = RxR :…

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Q: Complete the table of values below. Then, sketch the graph of r = 2 - 3 cos in polar coordinate…

A: Here we have to find the value of r and then plot the polar graph.

Q: Consider the following sequences n In (1+n) (ž) e^/(n²+1), (iii) n²+2n - 11. Which of the above…

A: We have to check which sequence is monotonic increasing.

Q: Find and classify all critical points of the function 3 f(x, y) = x³ + 2y - In(x³y³) Item 5.pdf

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Q: The region is bounded by y = x³, y = 2x + 4 and y = -1. Then Arearegion= = ["5(x) f(x) dx + dx +…

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Q: Write the parametric equations x = = 5 sin² 0, y = 3 cos² 0 e given Cartesian form. 3sqrt(1-x^2/25)…

A: Given query is to find the Cartesian equation.

Q: Evaluate the following definite integrals. Note: Final answer should be expressed as a decimal, not…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Choose among the following suitable to define the given integrations: * f(x + 1) sinx dx Not…

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Q: Given; S √ √ tex. dx 2 Applying rationalizing substitution, find dx in terms o 2 z dz A z²+2 z dz B…

A: Given query is to find dx in terms of z.