Find the characteristic equation for the matrix 2 (13). and use it to compute M-¹. M

Q: s After an appropriate trigonometric substitution, the integral transformed into which one of the…

A: Concept: The trigonometric change: The trigonometric identities can be used to assess several…

Q: Answer is wrong

A: Note: Since, the unit of the radius is not given, we have assumed that the unit of the radius of the…

Q: Question Find the change in volume dV if a circular cylinder with radius r (Round your answer to the…

A: Volume of a circular cylinder is V=πr2h

Q: ƒ cos(x³) x² dx. 1 ¹ cos4 + c 4 1 WIT 3 1 -| sin x³+ C 1 ·cosª + c 4 4 -3 sin x³+ C

A: Topic = Integration

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Q: Let r(t) = t²i + t cos(πt)j + sin(ät) k, find ſª r(t) dt.

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Q: Consider the function f(x) = 3x + 8x-1. For this function there are four important intervals: (-∞o,…

A: Use differentiation for finding A and B and C

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A: Given:          r=3+2cosθ , r=2

Q: 4. I Find the general solution of the given system: dx1 dt dx2 dt = 7x1 +4x₂2 =-3x1-x2

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Q: Consider the following. (The graph is called a Witch of Agnesi.) y Find the derivative of the…

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Q: Differentiate the function. Then find an equation of the tangent line at the indicated point on the…

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Q: Find the constants a and b such that the function is continuous on the entire real line. 7₁ ax+b,…

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Q: Use the product rule to find the derivative of (4x⁹7x¹)(5e* - 4) Use e^x for e. You do not need to…

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Q: Write the sum using sigma notation: 9 +13 + 17 +21+ A = B = A + 45 = ΣΒ, where n=1

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Q: Find the divergence of F(x, y, z)= x î+y³ ₂² 7 +xz³ k. O1+3y²z²+3xz O1+3y²z²+3xz² 01+3y²₂² O 1

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Q: a. b. n=1 8 n någn-1 (-5)n 1 nVn? +1

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Q: Identify the inflection points and local maxima and minima of the function graphed to the right.…

A: Topic- application of derivatives

Q: So F. dr - 0 for every closed curve Cin R, an open connected region. True False

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Q: Find the volume of the solid generated when the region bounded by y = 5x and y= 15√√x is revolved…

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Q: Find the volume of the solid obtained by rotating about the x-axis the region bounded the curve and…

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Q: Which of the following functions (there may be more than one) are solutions of the differential…

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Q: 4. consider F(x, y) = (y² − 2xy) i + (2xy − x²) j. (a) Show that F is a conservative vector field in…

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Q: Question 6 Evaluate the integral and choose the correct answer. fe¹²x dx 01 다 F2 Cete 2 01 jet + C…

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Q: Which of the following equations is/are exact? □ 3x²y² dx + (2x³y + 4y³) dy = 0 (3x²y-x²) dx + e³ dy…

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Q: If a ¤ R and 0 < x² < 1/2, which of the following expressions is equivalent to the geometric series…

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Q: Find the slope of the tangent line to the curve - 4x² - 2xy + 3y³ = | at the point (3, 1). - 33

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Q: Let g be defined by the equation g(x) = sin 2 dt 1²-1 Show that g'(x): = sec z.

A: Given:       gx=∫sinx0 dtt2-1       Factor -1 from the denominator:       =-∫sinx011-t2dt       The…

Q: log₁ (3)

A: The given logarithm log449

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

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Q: Use substitution method to evaluate the definite integral fore dx

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Q: (a) Determine whether the series n=1 6n² +7 4n³ + 5n

A: As per the instruction, we will be answering the first question. For (a), Given: Now,…

Q: 8] n=1 1 n√n +1

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Q: Evaluate the integral and choose the correct answer. [x²³m.x x² In x dx

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Q: For the function f(x) = 3x²-x³-4 where -3 ≤ x ≤ 3, complete the following. 1. Find f' and f". 2.…

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Q: Consider the following function. f(x)=√x-9, x> 9 What is the domain of f? (Enter your answer using…

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Q: Calculate the gradient, the divergence and the curl for the following fields, when possible: ₁ = e/y…

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Q: ) = 400(5 + 2

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Q: Use implicit differentiation to find dy dx x3 + y = 15xy || dy dx

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Q: valuate the integral 1₁ To xy”ddy. o 25 4 105 4 ) 15 4 D 135 4

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Q: O O 2x4 1,34 dx +1 NIS In[x5 + 1] + € C In[x5 + 1] + C 5 In[x 5 + 1] + C In[x5 + 1] + C

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Q: Consider the following differential equation: y" + y = sinx - 2e and the following boundary…

A: The given differential equation is y''+y=sin x-2ex

Q: (x² - 1)y" + (x + 1)y' - y = 0

A: We have to solve the given differential equation by power series .

Q: In this problem, p is in dollars and x is the number of units. The demand function for a certain…

A: We know at equilibrium point demand function and supply function gives equal value.

Q: A silver dollar is dropped from the top of a building that is 1322 feet tall. Use the position…

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Q: Evaluate the following integral using trigonometric substitution. 7/2 1 0 dx 2 (4x²+1) ² What…

A: I have stated the used formulas in the solution

Q: Express the complex number, 1 + ¿, in the form re¹ with 0≤0 < 2π. O √2e O √žeti ○ 2e Ti O eti O 2e7¹…

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Q: Find an equation of the plane. the plane through the origin and the points (4, -5, 2) and (1, 1, 1)

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Q: Find the definite integral that will compute for the volume of the solid when the region bounded by…

A: To find the definite integral that will compute the volume of the solid. Given information: The…

Q: 1. Let S be the triangular region in R3³ with vertices at (2,0,0), (0,6,0), and (0,0,3) with upward…

A: we know that triangular  region is part of plane since all the vertices  ( 2, 0,0)  , ( 0, 6, 0)…

Q: Evaluate the integral and choose the correct answer. fxe² dx O Ọ xe ttc o xe etc Ọ - xẻ +C xe - 2e +…

A: Topic = Integration