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

Q: Find the volume of the solid obtained by rotating the region bounded by y=x+ 1 y=0, and x = 2 9π…

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Q: f(x) = x³, y = 1, x = 1

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Q: Set-up the integral for the area of the plane region bounded by y=x+4 and y=x²-2x (x²-3x-4)dx (5+…

A: The given region are:y=x+4 and y=x2-2xTo find the area.

Q: s 4+e 22 Im ez جامع dz

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Q: A dam has a semicircular gate with diameter 4 m. The top of the gate is 8 m below the surface of wa…

A: We know force = pressure × area . Density of water us 1000kg/m3 Acceleration due to gravity =…

Q: Find the maximum value of f(x,y) = 12-x² - y² on the line x + 2y = 5. The maximum value of f(x,y) =…

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Q: Determine the area bounded by the curves x^3 - y = 0 and y + 3x^2 - 4 = 0 using a vertical element

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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: a. create a maclaurin series from the function: f(x) = 1/(1 + x)2 b. Determine the value of X so…

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Q: The volume of a cylinder of height 12 inches and radius 7 inches is given by the formula V = 12π².…

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

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Q: 0# 7' 7P VE 1-₂72 +67

A: topic - indefinite integral

Q: Find the area bounded by x² = 4y + 4 and x = y - 2. Using vertical element, what is the integral…

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Q: 7. Evaluate * (D5 - 3D4 + 8D³ + 16D² - 9D - 13)y = 0 y = (C₁ + C₂x)e¯x + С3ex +C4e²x cos3x + C5e²x…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find the critical points of f(x) = x³ - 24x² + 144x and use the Second Derivative Test (if possible)…

A: Solution of given question is written in below steps.

Q: art 1: Evaluate the following linear equation for the given alues. - 2x - 4 -3 -2 3 5 art 2: Graph…

A: Given, y = -2x -4

Q: QUESTION 3 Find the particular solution for the given separable differential equation. dy 2x+y,…

A: We have to solve differential equation

Q: Suppose 0 <m(8)<, and x=2 sec(0). What is the resulting expression if we write √x² - 4 as a…

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Q: Suppose that 3 of work is needed to stretch a spring from its natural length of 30 cm to a length of…

A: we know the work needed to stretch the spring W=12kx2 where x is the elongation. x=xf-xi=45-30=15…

Q: 8) ff(x)dx; f(x) = 1 + 2cosx, ((²7) x + 1, sxs" TC < x≤ π

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Q: Find the first derivative of y=x² O a. y' = r²lnz O b. y'= -2² (1+ Inz) y'=r(1-Inz) °c O d. none of…

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Q: Find the value of the arthmetic series below 3+6+9+...+48 A 357 B 458 C 396

A: Solution:-3+6+9+...+48First term, a=3Second term=6nth term, an=48Common difference, d=6-3=9-6=3nth…

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: If there are 150 bacteria after 2 hours and 900 bacteria after 6 hours, how many bacteria were…

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Q: y = 10t² 10 S3 5+²

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Q: The function f(x) = −2x³ + 3x² + 36x has two critical points, c₁ and c₂. Find them and use the…

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Q: Find the Cartesian form of the polar equation r = −6 sin θ

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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: You are saying the scale factor the donut needs to be dilated is 25/1 And The glaze needs will be…

A: Given ,  A donut shop makes donuts that serve 1 person each. For a party the baker is asked to make…

Q: 5. Use the arc length formula to determine the circumference of the circle defined by the equation…

A: To find the circumference of circle

Q: Using Rationalizing Substitution 5y+5+ 5 y-1 6 6y+6+ y-1 6y²+6y+6+ 1 y²(y-1) 6 y-1 .729 dx 64 √x-3√x…

A: We can solve the given integral.

Q: Set-up the integral for the area of the plane region bounded by y=x+4 and y=x²-2x S^(-x²+3x+4) dx -1…

A: We have to find integral

Q: Iff and g are continuous on [a,b)], then [*[f(x)\g(x)]dx = [[*f(x)dx)(√*g(x)dx) a A True B) False

A: If f and g are continuous on a,b, then ∫abfxgxdx=∫abf(x)dx∫abg(x)dx

Q: dx Using Rationalizing Substitution S- -=Sf(y)dy, find ff(y)dy- X√√x-1

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Q: The numerical value of f3dA 3dA (where D is the region bounded by lines y=0 and x= 1 and the…

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Q: 3) Draw the missing figure on the sequence below and provide solution/explanation:

A: Follow the procedure given below.

Q: 3. 5. -4 क्य 4. Vo. X= ++ x = -3 2 * 20

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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: S(-4y + 12) (5x+15) dy

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Q: .729 dx S == Sºf(v)dy, find f(y). 64 √√x-3√x Using Rationalizing Substitution 6y² +6y+6+y-1…

A: Given:-∫64729dxx-x3dxsubstitute  x=y6 differentiate both sidesdx=6y5dychange the limitx=64,…

Q: Solve the improper integral and determine if it is convergent and divergent 9 √2 (1-32), dz Oa .…

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

A: Given: 4x+8y=8, y=0 x-axis, x=0 y-axis So, the bounded region is as shown below. Apply the disk…

Q: ³₁(1+w) (2w + w²)5 dw

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Q: The tangent line to the curve at the point (1,2) also passes through d²y the point (-1,4). If at any…

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Q: Using Rationalizing Substitution a=4, b = 9 a = 8,b=27 a=64, b= 729 a=2, b=3 729 S 64 dx √x - √√x =…

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Q: f(x) = x³, Y Find the volume of the solid obtained by rotating the region A about the x-axis. A B

A: The region A is bounded by y=1 and y=x3 from x=0 to x=1

Q: ngth of 45 cm. How much work is needed to stretch the spr

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Q: 2 So ² ( x 7²2)² Using Trapezoidal method Blank 1 Add your answer -dx for n=4 is equal to Blank 1…

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Q: Find the Cartesian form of the equation in spherical coordinates given by p = 2 cos p.

A: We have to solve above question and find cartesian form