A man of height 1.9 meters walks away from a 5-meter lamppost at a speed of 1.1 m/s. Find the rate at which his shadow is increasing in length. (Use decimal notation. Give your answer to three decimal places.) Resource rate: m/s

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A: Last 2 question solved

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A: Given :9x2+y2-z2+2z-10=0

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A: We will use law of sines to solve this question.

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A: This question is based on the general term of geometric progression.

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Q: If 4x-2x² <f(x) <x²–2x+3 for all real numbers except for x=1, then Selected Answers: limf (x) = 2 x…

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Q: Choose the gradient of the function f defined by f(x, y, z)= In[1 + (17xy + xz +9yz)²].…

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Q: Let f(x)=√6- x and g(x) = x² - x. Then the domain of f o g is equal to Question Help: Video Message…

A: Given- f(x)= 6-x f(g(x))= 6-x2-x f(g(x))= -x2+x+6 Domain of f(g(x))- -x2+x+6≥0 x2-x-6≤0

Q: Consider the indefinite integral fe5z +6 dæ: a) This can be transformed into a basic integral by…

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Q: Jolene invests her savings in two bank accounts, one paying 3 percent and the other paying 10…

A: topic- simple interest and equations

Q: -5 -3 2-1 3+ 1 1 2 4 N -1 B 2- Submit Question ON 4+ 10. -3 Which of the following is true about = 0…

A: Let's find true statement about given graph.

Q: 2. Prove that f(x) = |x + 1] 1| (−1,0) tangent line at has no

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

Q: Use the triangle shown on the right and the given information to solve the triangle. b=4, A=70°;…

A: Given b=4, A=700, a=? c=? B?

Q: Use Newton's method to approximate a root of the equation 2 sin(x) = x as follows. 1 be the initial…

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Q: the region enclosed by y = e¹¹, y = 5², and a e = 1. Find the area of the region.

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Q: Use the Integral Test to determine whether the following series converges after showing that the…

A: The given series,    ∑k=1∞35k+23

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Q: 1. Find the domain of the vector function r(t) =< ln(t + 2), t 1 - 12 21 √12 - 4

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Q: II. Anti differentiate the following. D. (ANTIDERIVATIVES by Substitutions) 1. Evaluate [(x + 4)5…

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Q: Integrate | VE 1-4x² dx using a trigonometric substitution.

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Q: 1. Find for 2³-y³+r²y = 10

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Q: (a) √ (e² +2²) dz (b) f 3² dr

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Q: The number of oil changes per hour at Quick Lube is described by the following short-term production…

A: answer is in next step .

Q: 6. J 4 x4-1 -dx

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A: Sum of first n terms of a geometric sequence is given by Sn=arn-1r-1 where a is te first term and…

Q: Find the curvature of r(t) at the point (1, 1, 1). r(t) = (t, t², t³) k=

A: Given: vector valued function r(t)=&lt;t, t2, t3&gt;To Find: curvature at t=1

Q: -2x 2) (² f(x, y) = e¯ fxx + fyy = 0 Consider -2y cos 2y - e cos 2x. Verify that

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Integrate ze da Select one: O A. ex (2x-1) + C OB. e (x-2) + C O C. e* (x-1) + C O D. ex (x-3) + C

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Q: Find the Taylor or McLaurin series for the following functions f(x) = X 4+x², a=0

A: Here , we have to find out the Taylor series expansion for the given function.    Where , given…

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Q: 25. If f(5) = 2, then f-¹(2) =

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Q: F. (DERIVATIVES OF EXPONENTIAL AND LOGARITHMIC FUNCTIONS) 1. Find f'(x) if f(x) = 3e². 2. Find g'(x)…

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Q: 15. Write an equation for the transformation of f(x) = |x| shown in the graph below. +

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

Q: Integrate √² +25dx Select one: О А. O B. O C. 2 √z²+¹ +In\√X² +1+z] + C + In √X² +1+x+C +In\√X²…

A: Note: None of the given option is correct in this question.

Q: Let f(x)=√x - 7. Then lim h→0 f(3+h)-f(3) h 1 2√3 If the limit does not exist enter DNE.

A: Laplace transform:- If limh→0f(h)g(h) is of the form 00 then limh→0f(h)g(h)=limh→0f'(h)g'(h) and so…

Q: Work problem 2 ( } Let w(u, v) = 5u – 5v + u² − 5v³, u = cos(2t) and v = sin(3s). - Use chain rule…

A: we will use chain rule yo find derivative.

Q: 3) Consider the DE: -(4x³y - 16)dy = (6x²y² - 10)dx. A) Show that the differential equation is…

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Q: Use Newton's Method to estimate a root of the function f(x) = x + 2 - e Use the initial estimate 1 -…

A: We need to find x7.

Q: An aquarium 7 m long, 1 m wide, and 1 m deep is full of water. Find the work needed to pump half of…

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Q: Estimate Ay using differentials. 11-x5 2+x5 (Give your answer to four decimal places.) Ay ≈ y =…

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