Find dy dx : y = arctan 2+1 x-1 at x = 1

Q: 3 z²+1 2. Find the area of the region in the first quadrant between the graph of y the z-axis. If…

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Q: dy Find dif: y = (x - a)√2ax x2 +aarcsin a none of these O a. Ob. a²2 √2ax x² - O C. 2√2ax x² O d. O…

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

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

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

Q: Determine the derivative of the following implicit function on a separate sheet of paper, assuming…

A: The given function,       3x2+y3=2y2-x3y

Q: answer

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Q: Write an equation for the function graphed below. The y intercept is at (0,-0.5) 5 1 -7 -6 -5 -4 4 y…

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Q: Evaluate the integral:: 1. § 4+0²³²- dz e² · cos³x + 8 sin x cos²x + 6 sin²x dx ; cos x ‡ 0 2.5.…

A: We have to find value of given Integral.

Q: To determine the area of the region bounded by x = y²-y-6 and x = 2y +4 first we have to calculate…

A: Given that curve x=y2-y-6 and                x=2y+4Solution :we have to find limits of the graph the…

Q: 8. A box is to be made with an open top from a sheet of cardboard by cutting four equal squares out…

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Q: Given: (x is number of items) Demand function: d(x) = 841 -0.4x² Supply function: s(x) = 0.6x² Find…

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Q: Determine the area bounded by the curves x³ - y = 0 and y + 3x² - 4 = 0, using a vertical element. A…

A: Using vertical element form a double integral then solve it

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: 2. A contractor wanted to buy equipment; current price of it is ($50,000). So, he requested the help…

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Q: 4 -1 서 sy9921 dyiyF0 ry ; yfo

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

Q: Evaluate S tex dx 2 Use rationalizing substitution. - 8

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Q: Determine the derivative of the following imp of paper, assuming that it is differentiable.

A: given is x+y3=2c(xy4)differentiating both side with respect to xdxdx+dy3dx=d(2c(xy4))dxusing product…

Q: Determine the intervals on which the graph of y = f(x) is concave up or concave down, and find the…

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Q: find dy/dx and dy/dx2, if : x = a(cosθ + θsinθ) and  y = a(sinθ - θcosθ)

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Q: a + bx² 3ax + bx³ - dx

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Q: 4x8 Evaluate efv dx 2 Use rationalizing substitution. A e√e² -2 -2√2 Arctan = √√e² - 2 + C e* 4 (B)…

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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: lim (x,y)→(1,1) O -1/2 O Limit DNE O 1/2 O 2 (4x - 5y) 5x² – 7y

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Q: Consider the function. f(x) = x-1 x + 8 Step 2 of 2: Determine the open intervals on which the…

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Q: d'y day + dx5 dx4 y = (C₁+C₂ + С3) ex +C4e²x+C5e-3x y = Cıe2* +Czxe-3x +C3е* + С4е* + С5е* OA) Ō d³…

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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 volume of the solid generated by revolving the given plane area having the given boundaries…

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Q: Using Rationalizing Substitution [√x + 1 dx = y² + 4y + 4in(y-1) + C. express the final answer in…

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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: The volume of solid of revolution when rotated along y - axis is given as b A [ny²dx a b B fony² dy…

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Q: Evaluate the following double integral over the given region R. JS Ta 4 ln(y + 1) (x + 1)(y + 1) dA…

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Q: Determine the derivative of the following implicit function on a separate sheet of paper, assuming…

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Q: (1) Determine what comes next in the given pattern and provide solution/explanation: -7,2, 11, 20,.

A: The given pattern,-7,2,11,20,....

Q: Evaluate the integral : S - (9x²+7x) (x−1)(x+1)² dx ← +C

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Q: 1. 3x, If R is the region in the first quadrant bounded by x-axis, 3x + y = 6 and y = evaluate ff 3y…

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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: Find the volume of the solid obtained by rotating the region bounded by y=x+1 y=0, and x=2 24π C.U.…

A: Answer is 9π c. u.

Q: The deer population of a national park has a natural growth rate of 4% per year. Each year the…

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Q: approximation, solve for the following functions. Show the complete procedure in calculating your…

A: Note:- These are multiple questions and according to our company guideline we can do maximum 1…

Q: 4ex. Given: v dx 2 Applying rationalizing substitution, find dx in terms of z. 2 z dz A z²+2 (2z+z)…

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Q: A spherical tank of diameter 6 m is full of water. Set-up the integral for the work done in pumping…

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Q: The cylindrical shell method is to be used to compute the volume of the solid generated by revolving…

A: Here, the given curves are: y=2x-x2 & y=0 The area bounded by the curve is:

Q: dx Consider ·S= using rationalizing substitution. x1/2 + x2/3 Find the integrand in terms of z.

A: Given

Q: Determine the derivative of the following implicit function on a separate sheet of paper, assuming…

A: Given 2bxy=3ax2-4y3To find derivative dydx:

Q: Find the area of the plane region bounded by y=-x+2 and y=x²-2x

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

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Q: A+B+C =0

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Q: an f (b) For a positive integer n, find the n-th partial " azn derivative off with respect to z, for…

A: Solved below.

Q: A milk truck carries milk with density 64.6 lb/ft3 in a horizontal cylindrical tank with diameter 6…

A: Please see the below picture for detailed solution.

Q: Using Rationalizing Substitution x+1 -dx = y² + 4y+ 4in(y-1) + C. express the final answer in terms…

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