TU Evaluate sec²20d0 a. 00.33 b. 0.5 c. 0.67 d. 0.25 e. NONE OF THE ABOVE

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A: The objective is to find the volume.

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Q: 3. Σ7ne-² (Integral Test) n=1

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Q: sin(7) 8 What is the exact value of Show your work for full credit.

A: Given sin7π8 sin7π8=sin-π8+2π=-sinπ8Find  sin ( π8 )  by using trig identity:cos 2 a = 1 − 2 sin2 a…

Q: 1.) +y=e+ dx=3e-t 2. .) d- given: x(0) = 0, y(0) = 1 dy-x=0 d+y=1 given a z (0) = -1, y(0) = 1.

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Q: EX 4: a) Determin the value of A and B for wich the vector field x4 F (X₁y₁z) = Axluze + B By ² z 5…

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A: To evaluate: limx→0 sinh⁡x2−x2sinh⁡x−x Given limit is of 00 form L'Hospital's rule tells us that if…

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Q: [*(sin³r)√1 + cos ar dr x

A: We know that integration power rule is given as  Integration of xn is xn+1/n+1.   Here i attached…

Q: Derive implicitly—Implicit differentiation. Please show a detailed solution. Also, comprehensive and…

A: In this question, we want to differentiate the given expression implicitly.

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Q: 2. Use the graphs of y=f(x) and y= g(x) to sketch the graph of y=h(x). Hint: Estimate the function…

A: answer is in next step.

Q: Given f(x) = x^5 * cos x, dx= 0.01, use numerical differentiation to find: (1) df/dx for this…

A: Concept: The formula for the differentiation of the product of two function Let the two functions be…

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Q: It is known that for a function f(x), f'(1) = 0 and f" (1) = -0.5. What does the Second Derivative…

A: This question can be solved using the concept of second derivative test.

Q: Perform the integration. x-1 dx x² + 5x + 8

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Q: 2x x→∞ 3x² +5 3x xx√√√x² x² +4 X lim x→→∞ 2 sin î (a) lim (b) lim (c)

A: Given

Q: What is the volume in cubic units of the solid formed when the region bounded by y = x^2, y = 1, and…

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Q: Given that R' (t) = 2ti — 2j + 3t² k and R(2) = i + j — k, then R(t) =

A: The objective is to find R(t).

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Q: e each limit. If the limit does not exist, e 2 3 4 5 →

A: We have to find the following conditions according to the given information

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A: Integrate the equation.

Q: Evaluate 2y"+3y'-2y-te-2t ,y(0)=0, y'(0)=-2

A: answer is in next step. please give a like !!

Q: I. Directions: Determine if the function is continuous on the given interval 1-3. f(x) 2 12-x² ; [1,…

A: 1. fx=212-x2; 1,32. fx=2-x+3; -3,-13. fx=1if x≤2x2-3if x>2; 2,4

Q: The concentration of a drug in a patient's bloodstream is given by the function C'(t) = 0.15t…

A: Explained below

Q: Evaluate the multiple integral.* 22y [ ✓²)¢ dx dy 10 17.5 16.5 The area hounded by the graphs of y=

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Q: 1. Let 1 + x = +0 (-1)^ xn no Find a power series representation for 1+3x²

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Q: The cost, in thousands of dollars, of airing X 30-second television commercials during a Super Bowl…

A: Note:- These are multiple sub parts question and according to our company guideline we can do…

Q: lim x4 1 x³-64 Ꮳ 5 1 vx2+9

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Q: A study indicates that the population of a certain town will be growing at the rate of p' (t) = 5 +…

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Q: For which value(s) of k, if any, is the function 1 (²) = x [kx² - log₂ (x) 2xk²x + 5 continuous on…

A: Use continuity definition of function

Q: Questions 1-4: The graph of a function y = f(x) on the interval [-3, ∞) is shown below. Use the…

A: Given.

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Q: 1. For each of the following solve the system that is given. a) : (x, y, z]-[5,-1,3]+[4,-5,2] and…

A: Concept: The system of equations in complex form:…

Q: In this problem we will prove one orthogonality relation used in Fourier analysis. a) Show that…

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Q: Com A real estate firm estimates that the value of a certain property will be given by the function…

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Q: 4. A spherical balloon is to be deflated so that its radius decreases at a constant rate of 15…

A: Using derivative

Q: 9 To express Q(x) = cos(4x-5) as the composition of three functions, identify f, g, and h so that…

A: The given function is  Q(x)=cos9(4x-5).

Q: EX 3! Show that F (x₁y) = (2xy - 3) + " + (2y + x² ) 5* is conservative and find a potential of it..

A: Use the partial derivative for finding the potential function

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Q: 6. A family wants to build a fence in their backyard for their dogs, Charlie and Linus. The enclosed…

A: Given:     Area = 4000 sq meter