If f is the function given by ƒ(x) = √²* √t² — t dt, then ƒ' (2) = 7 a. 2√12 b. √2 c. √12 d. 2√12 B A

Q: A utility pole has a guy-wire attached to it 3 feet from the top of the pole. The wire is attached…

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Q: Suppose that f is a function that is continuous at a number c. Which of the following statements I,…

A: use the definition of a continuous function

Q: Write an equation for the function graphed below. The y intercept is at (0,-0.3) 5 4 3 2 1 + -6 -5…

A: We have to write an equation of given graph.

Q: 22 Find the number of connected components for the graph below. b 1 2 3 4 a. 8 d C h

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Q: If g(x, y) = x² + y² 6x, find the gradient vector Vg(1, 6). Vg(1, 6) = -4,12 Use the gradient vector…

A: Given that , gx,y=x2+y2-6x find the gradient vector ∇g1,6 and tangent line to the level curve…

Q: B)Convert r = √2 cos(8-) to cartesian.

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Q: )

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Q: Evaluate the integral. (Use C for the constant of integration.) tan³(x) sec(x) dx

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Q: 11. What point on the curve y = x4, does the normal have a slope of 16

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Q: f(3x² cot 2x³ csc 2x³) dx O-csc 2x³ + C CSC O csc 2x³ + C Ocsc 2x³ + C CSC O-csc 2x³ + C

A: We can solve as follows

Q: Which of the following integrals is convergent? Select the correct answers. .24 0 of OP 0 2 X dx dx…

A: We have to find which of the following integral is convergent. (a).…

Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

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Q: B)Convert r = √2 cos(8-) to cartesian.

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Q: f 2³x dx = O 0 23x In 2 + C ○ 23x+1 + C 3x+1 23x In 8 0 23x ln 2 O + C + C

A: To evaluate: I=∫23xdx

Q: [(3+y) -x³ (3+y)³] dx + x dy = 0

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Q: Find the exact length of the curve. x = et - 4t, y = 8et/2, 0≤t≤2

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Q: d²y dx² 2 (2x-3)² Find y = O O d²y dx² d²y dx² d²y dx² O d'y dx² = = = = 12 (2x-3)¹ -12 (2x-3)4 48…

A: Given

Q: ■ Find equation of plane which is containing Points A(2,1,1) and B(7,5,2) and normal to 2 x - 3y -…

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Q: e tangent to the function f(x

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Q: 4. Express the integral as an equivalent integral with the order of integration reversed. 2√x (a) ff…

A: The process of switching between dxdy order and dydx order in double integrals is called changing…

Q: Evaluate the following triple integral by hand: 2 }}} ij X'√= dxdydz= y³ z=1 y=2 x=-1

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Q: The displacement (in feet) of a particle moving in a straight line is given by  s = (1/2)t2 − 9t +…

A: Use instantaneous velocity concept

Q: -)Find volume of body from above Z=√√4x² - y² and below Z Triple integration. 1 using

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Q: Find and sketch the domain of the function. f(x, y) = √√√√4x²-√√25-y² O -6 DO -4 -6F 4 6 -6 -4 4 4…

A: The set of points (x, y) where the function f(x, y) is called the domain of f(x,y).

Q: B. Given that f(x) = {(-2,1), (1,4), (2,5), (3,6)} g(x) = 6 + 4x h(x) = -x² + 2 find

A: given

Q: -1 Let f(x) = tan-¹ e²². Find f" (x).

A: The solution is given below

Q: Suppose the revenue from producing (and selling) x units of a product is given by R(x) = 15x-.06x²…

A: To find marginal revenue at production level of 35.

Q: B)Is w = Zez analytical function or not?

A: Here given that. W=z.ez  we know that z is polynomial function  and ez is exponential function both…

Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

A: Explained below

Q: Q1A) The vectors A = 3i + j + 4k, B = 2i - 3j - k, find vector normal to A and In plane of A and, B.

A: Solution is given below:

Q: B)Solve differential equation dx = -(x²+y) x+siny

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Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

A: The given polar curve,    r=sinθ+3cosθ, θ=π2

Q: 31 Matrix A =[42],find Eigen values of A².

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Q: Q1A)The vectors A = 3i+j+ 4k, B= 2i-3j-k, find vector normal to A and In plane of A and, B.…

A: Let's call the vector to be found is C. C vector will be normal to both vector and A and B. we can…

Q: Consider the following parametric curve. x = sin(8t) + cos(t), y = cos(8t) - sin(t) Find dy dx dy dx…

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Q: 2. Find the domain for the following functions: x 4 3x a) b) c) √√x-7 x²+x-56 x²+4

A: As per Bartleby guidelines rule I am answering only three sub-part of a question. This question is…

Q: Suppose that f is a function that is continuous at a number c. Which of the following statements I,…

A: The function f is continuous at a number c.

Q: Give the domain and range. Then, use the graph to find (a) f( − 2), (b) f(0), (c) (1) and (d) any…

A: From the graph, notice that the function is defined on the interval -2,4and it takes value on the y…

Q: y = 2 sin(x), y = ex, x = 0, X = K|N 2

A: The region bounded by the curves,  y=2 sin(x), y=ex, x=0, x=π2

Q: 1 f(x) = X g(x) = Inx A) In[f(x) + c C) Inf'(x) + c 1 1+2e-x A) In|1+2e C) Inje*+1| + c 5. f(x) g(x)…

A: We can answer both the question as below.

Q: Find the domain of the following function. 1 f(x) = 2 25-x

A: Given function f(x)=125-x2we know that fraction abis defined when b≠0the function is not defined…

Q: Hi, it is (-3)^n not (-2)^n

A: The given power series,∑n=0∞n2-n2nx+1n

Q: Evaluate x³ 2x² +7 dx S x² Ox² - 2x - 72 +0 0²-2x - 1 + C X O2+2 +c+C -2+7ln x² + C -

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Q: QUESTION 5 Given function f(x,y)= A. 2 B. 3 C. D. 0 ANSWER: 6 2 63xy of Evaluate at point (0, 1). ox

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Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

A: We need to find area.

Q: For which of the series below the Integral Test can be used to determine whether the series is…

A: Recall the integral test:If fx is continuous, positive, decreasing on the interval k,∞ andfn=an…

Q: Find the consumers' surplus at a price level of p = $150 for the price-demand equation below.…

A: Given p=400-0.02x

Q: 1 Evaluate the integral: S√72+6 dx O 2√7x+6+C O 7 2√7x+6 +C ○ // √√7x + 6 + C 1 0- + C 3 7(7x+6) 2

A: use substitution method for solving the integral.

Q: Assume that the situation can be expressed as a linear cost function. Find the cost function. Fixed…

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Q: lim x²+3x sin x x-0 0 3 01 O does not exist 0 0

A: