* Your answer is incorrect. Consider each function to be in the form y = k xP, and identify k or p as requested. Answer with the last choice if the function is not a power function. If A = r², give k. 2 O 1 O 1 O Not a power function

Q: *√3+41² dt, find the derivative of h(x). J2x

A: Given query is to find the derivative.

Q: (2/7/277) 2√2 4 Find the slope of the tangent line to the graph of y = arcsin(2x) at the point Round…

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Q: lifted to the top of a 25 meter tall building by a rope with density 0.1 kg/m. However, the bucket…

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Q: 3 7. Given that sec x = =, 270 < x < 360° find 2 (a) sin(2x) Answer: - 4√5 9

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Q: 1. Use trigonometric substitution to evaluate the integral √9-x

A: We need to solve integral.

Q: Find any critical numbers for f and then use the second derivative test to decide whether the…

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Q: Find F'(x) given F(x) = f ³² z S³ z³ dz. <-3x ○ F¹(x)= 54x³ ○ F'(x)=0 ○ F'(x)=81x³ ○ F'(x) = 162x³

A: fiven  F(x)=∫-3x3xz3dzwe know  ∫zndz=zn+1n+1+cdxndx=nxn-1

Q: Minimize Q = 5x² + 2y², where x + y = 7. X 11 y= (Simplify your answer. Type an exact answer, using…

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Q: Find f sin ¹xdx -

A: Given query is to find the integral.

Q: Solve the equation: 3*²-5x x = 3 x = 5 and x = -5 O x = -5 x = 3 and x = -5 || 27.

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Q: Find f such that f'(x) = 8x² + 7x-7 and f(0) = 2. f(x) =

A: Given query is to find indicated function m

Q: Suppose that a rectangular box has a volume of 18 cubic meters and is being expanded in such a way…

A: Given: A rectangular box has a volume of 18 m3 and is being expanded in such a way that its length…

Q: An airplane flies at an altitude of a = 6 miles towards a point directly over an observer. Consider…

A: According to question,Given data,a = 6 miles,x = 10 miles,Speed of the plane = 400 miles per hour.

Q: Find f(-1) + f(4), given the function: 14 11 04 13 x² + 1, if x 1

A: Topic = Functions

Q: 20. The widths (in meters) of a kidney-shaped swimming pool were measured at 2-meter intervals as…

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Q: Σ(-1)*+¹ cos k=1 π Write the sum without sigma notation. (Do not simplify. Do not evaluate.)…

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Q: Find the derivative of the function f(x) = f'(x) = sin x COS X N

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

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Q: O Solve the equation: 5log 3 x = 20 81 11 278

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Q: 3. R is the region between f(x)=xln(x) and the x-axis on the interval [1, e]. (a) Write an integral…

A: Since you have posted multipart question i can do first three subparts as per our company guidelines…

Q: Use the information to determine the limits. (If the limit is infinite, enter 'co' or '-co', as…

A:

Q: Find the exact value of cos( O 1 V2 O √3 2 0 -13 O 12 2 큼 -9 4

A: We can find the exact value in the below steps.

Q: A football Jersey is marked Jown 13 dollars each week for 4 weeks. Find the total change in the…

A:

Q: Locate the absolute extrema of the function f(x) = cos(on the closed interval [0, 1] absolute max:…

A: Solve the following

Q: Determine the solution of the following differential equation d) xy' + (1+x)y = ex sin(2x)

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Q: dr Find de dr ӨР r=2-04 sin 0 C

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Q: f(x) = (2x³ + 8), (1, 100)

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Q: Find dy/dx. x=tsin(t), y = t² + 5t

A: SOLUTION-

Q: Lim X→2 (x²-4) erx - -1 X-2

A: Let's evaluate the given limit.

Q: 12. Find f x √(1-x²)³ dx

A:

Q: Let f(x,y) = 5xy4 + 5x²y. Find 224 ах = a²fa²fa²f 1 2' ахду' ax2' ay²' and 224 дудх

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Q: Compare dy and Ay for y = 4x²-3 at x = 2 with Ax = dx = 0.08 Give your answers to four decimal plac…

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Q: The velocity v(t) of a sprinter on a straight track is shown in the graph below. Determine the…

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Q: 6) To evaluate the integral a) x = √12sece b) x = 12sine f (x²-12)² dx, we may use the trigonometric…

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Q: sketch the region bounded by given curves and find the area a. f(x)=cos(x) and g(x) =sin(x) between…

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

Q: Find the particular solution of the D.E. y "+ 3y + 2y = 4e° = 4e* ON =e* 2 Oy₁ = / = Ae* + B

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Q: 8) Let 1=₁dx, then: a) I converges to b) I converges to 12 c) / diverges d) None of the above

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Q: Write Sk. 4+12+ (Do not simplify.) Write SK+1. 20+...+()=0 4+12+20++ (Do not simplify.) What do we…

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Q: Use mathematical induction to prove the statement is true for every positive integer n. 4+8+12+ + 4n…

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Q: Which of the following statements are true by the comparison test? A. The integral 5 da diverges…

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Q: Use Stokes' Theorem to evaluate SF. ds, where F(x, y, z) = (-xy, -xz, -yz) and C is the triangle…

A: Given that , Fx,y,z=-xy , -xz , -yz and C is the triangle with vertices 0,1,0 , 0,1,5 , 3,1,0…

Q: Convert from radians to degrees: 5n - b. 18 10

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: (4) Compute the following: I7 (a d da na" = I7a6 Jn:2x-1 haban toy (b) d dx P [etan z] tanx ₁₁)] (x²…

A: according to bartleby guide line we do only first part ofmultilly 4(a)      d dx(lnx7(x2-x+3)11we…

Q: Find the local maxima and minima for the function f(x) = x² + 3x - 4. If there is more than one…

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Q: Determine the general solution of the DE y (4) + 3y – 4y = Ⓒy=c₁e*cosx+c₂e y=ce*cosx+c,e=*sinx -X -X…

A: given   y(4)+3y''-4yput  d=d dx(d4+3d2-4)y=0for auxilary reuation put d=m and y=1

Q: 3. Let's study the ODE y" -y=t, y(0) = 0, y'(0) = 0. Find the transfer function (so, the form in the…

A: Given that,         y"-y = t ,  y(0) = 0,  y'(0) = 0 taking the Laplace transformation, we get…

Q: Convert the equation to standard form by completing the square on x and y. Then graph the hyperbola.…

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Q: (a) Show that helpful). (b) Evaluate lim x-0 coth x dx = log sinh x| + c. (Hint: you may find the…

A: Integration using substitution

Q: Find the Laplace transform of f(t)=sin(2t) + cos (21)

A: we know  Lsin(kt)=ks2+k2Lcos(kt)=ss2+k2given  f(t)=sin(2t)+cos(2t)

Q: Determine whether Rolle's Theorem can be applied to the function f(x)=x²- 10x + 16 on the closed…

A: