tution for each of the following indefinite integrals. To input inverse trigonometric functions use asin() for ne and tangent functions. u =

Q: Basic Coatalus 1. f(x) - f(xth) = 5(x +h) - 3 Sx - 3 lim 5(x+h)-3 [5x-31 56 +5h -3 - 5% +½ 1. lim…

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Q: 1. Which of the following definite integrals could be used to calculate the total area bounded by…

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

Q: V9 – x² x2

A: Given: I=∫9-x2x2dx   ...1   As we know that; The trigonometric identities; 1). sin2x+cos2x=1 2).…

Q: 4. Find the equation of the slant asymptote. x-6x²-4x+1 r(x)=- %3D x² -x+2

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Q: Find the product of the two matrices. Give me two answers at each number letter for the A.B and B.A

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Suppose that h = 2x'y, where both x and y are changing with time. At a certain instant when x = 1…

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Q: Use "w) = d 1 1 to find the derivative of the inverse at the indicated point. dx d 1 Let f(x) = 2x+…

A: Given : f(x) = 2x + ex cos x

Q: 2. If the acceleration function of a certain particle is given by a(t) the velocity function…

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Q: Assume that the radius r of a sphere is expanding at a rate of 10 cm/min. The volume of a sphere is…

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Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = xy + yz + zx, Po(3, - 3,…

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Q: Question 5 of 13 On what instance does the Chain Rule of differentiation applicable? Explain…

A: In this question we have to find on which instance does the chain rule of differentiation…

Q: By considering different paths of approach, show that the function below has no limit as…

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Q: Consider the following integral. dx Given the substitution u = x° - 4, find du. du dx Rewrite the…

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Q: Solve for the second-order derivative of: [(4x3-1)(8x2+6x-3)]3

A: We have to calculate second order derivative of [(4x3-1) (8x2+6x-3)]3   Let us say  Y= [(4x3-1)…

Q: The area under the graph of f(x) = 3x2 between x = 2 andx = k is 504, where k > 2. Find the value of…

A: Given

Q: (1+ɛX) dx FA0 V = (1- X)2 kC, AO 0.

A: Given that      V =FA0κCA02∫0X(1+εX)2(1-X)2dX                        let us assume 1-X = t…

Q: Solve ſ 8x cos(7x) dx using Integration by Parts.

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Q: Suppose f(x) = ex, xE[0, 1]. (a) Find the slope of the secant line connecting the points (x, y) =…

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Q: 1. Find the inverse of the matrix 6 12 3 3 A. 10 10 C. 30 30 3. 10 7. 3. 30 10 30 152/5 D.…

A: Solution is done in step 2

Q: Consider a ladder sliding down a wall as in the figure. The variable a is the length of the ladder.…

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Q: 5. Given 2 distinct unit vectors & and ŷ that make 120° with each other. Calculate the exact value…

A: 2 distinct unit vectors x^ and y^ that make 120° with each other.

Q: I. Evaluate each of the following iterated integrals. clnx Si S, So yezdzdxdy

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Q: 1. x'dx LE 2. x3 + 2x? dx 3. + 3x? + 1)dx

A: "Since you have asked multiple questions, we'll solve the first three questions for you. If you want…

Q: ey 6-2е2у ydy

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Q: Show clear and detailed solutions: Suppose that z is a function of x and y, and tan Vy? + x² = z"e6y…

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

A: We have to determine whether  ∫-2o{1/(x+1)2 }dx  is convergent or divergent.  Let I =  ∫-2o{1/(x+1)2…

Q: following integration can be solved by using the     technique, where in the first application of…

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Q: point on a curve at which the concavity changes sign from plus to minus or from minus to plus.

A: Topic:- calculus

Q: 2r 2r If the total volume of the cylinder and square block is 30 cm', express h in terms of r.

A: Given that total volume Volume of cylinder+volume of cuboid=30 πr^2 ×h + 2r ×2r ×r =30 πr^2 × h…

Q: Suppose f(x) = 10 (a) The rectangles in the graph on the left illustrate a left endpoint Riemann sum…

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Q: Find the area of the region bounded by the graphs of y2 = 5 – x and y2 = 4x.

A: Given y2=5-xy2=4x

Q: x5Vx2 + 2dx

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Q: dz dz Draw a dependency diagram and write a chain rule formula for and given the functions below. ds…

A: 1. D  2. D

Q: 32 RELATED RATES TUTORIAL 32 d0 when the angle is TC radian ? top of the ladder and the wall…

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Q: Find the average value of the function f(x)=3x^5 on the interval 2 ≤ x≤ 6

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Q: I need answer within 20 minutes please please with my best wishes

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

Q: Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check…

A: Let's find.

Q: Find the derivative of the function at P, in the direction of A. f(x.y.z) = xy + yz + zx, Po(1, -…

A: Given :   f(x, y, z)=xy+yz+zx P(1,-1,3)

Q: Use the method of disks/rings to determine the volume of the solid obtained by rotating the triangle…

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Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

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Q: Find T, N, and k for the space curve r(t) = (16 sin t) i + (16 cos t) j+ 12t k. T(1) = (D i+ (O j+…

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Q: G'(0), where G(r) =| e * dt

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Q: Sketch the region of integration and evaluate the integral. 4 dy dx -3x Sketch the region of…

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Q: Integration of Rahonal Funchons by Par hal Frachons ax* + 3 2

A: We have to integrate by partial fraction.

Q: Find a point on the curve x' + y = 25xy other than the origin at which the tangent line is…

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Q: Compute the surface area of revolution about the x-axis over the interval [0, 1] for y = e-2x. (Use…

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Q: Find the arc length of y = +(x + 2)³ + (x + 2)-1 for 1 < x < 2. (Give your answer to three decimal…

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Q: Find the Indeflnite Integral. dx Step 1 Observe that Is the derlvative of x. Let g(x) Multiply and…

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Q: x²+12x+12 dx x3-4x 1.

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Q: Given f(x) = 2x + 4, what is the value of (1)? Select the correct response: 1 O 2 O 4

A: Note to student :    Thanks for posting your queries. But there are multiple questions given. As per…