1 The linear approximation of tan-6° is? approximation of 3√9 is? 2 The linear

Q: If w = f(r,s,t), r = x-y, s = y - z, t = z − x then aw дw ?x + О O -1 -2 Əw дz 1 2 (

A: It is given that, w=fr,s,t, r=x-y,s=y-z,t=z-x.   The objective is to find the value of…

Q: The following table shows the results of a survey of 200 authors by a publishing company. New…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: The angle between the two vectors is not equal to Select one: O True O False u= and v= 0= π

A: Here we use the concept of dot product of the vectors.

Q: Find cos(0) where is the angle between u = cos(8) 1/9 2 (3) and y () 4 v Your last answer was…

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Q: What is the area bounded by the curves y² = 4x and x² = 4y? A. 5.33 C. 8.22 B. 4.33 D. 9.11

A: There are more than 1 questions, as per the Q&A guidelines i am answering the 1st question. If…

Q: Estimate the area under the graph of f(x)=x^2+4x from x=1 to x=5using 4 approximating rectangles and…

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Q: + 3x + 2)dx 2.√ √x(x² – 3x

A: The integral is  ∫xx2-3x+2dx

Q: 1. C (5,0) =( 5) = 2. C (4,4)=() = 3. C (6,2)=() = Evaluate the following

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Q: If w = f(r,s,t), r = x-y, s = y - z, t = z - x then dw Əw + ?х -1 Əw дz 0 о II 1 -2 ( 2 O

A: Given the function w is function of variables r,s and t . further r, s and t are the functions of x,…

Q: Find the area of the surface obtained by rotating the curve about the x-axis. Select the correct…

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Q: Question 2 Given the equation -4x² + 40x - 4y² - 32y - 4z² +24z = -200 ] Show that the given…

A: We find center and radius of the following sphere.…

Q: (h) x. yexy - x dx separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y…

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Q: Find the value of y if x=2.5 from the set of points (0,5.5) and (5, 7.5)

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Q: x cos 3x dx

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Q: Choose x such that the following two vectors are parallel u= and v= O -7 O None of the others 07 O…

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Q: Let a be a real number. Evaluate the following integral: So f +ydady

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Q: The alternating series E-1 (-1)" n³ 2n³+3 is diverge. True O False O

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Q: Q4\Use Cramer's Rule to find the values of x, y, and z from the following equations: 2x + 3y - z = 1…

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Q: The function f(x) f(x) = Σ car". 72=0 C1 = C2 = = Find the first few coefficients in the power…

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Q: 1. Determine the domain of the real function f. 2+x a. f(x) = log b. f(x) = √2+x-x² c. f(x) = cos d.…

A: According to the company rule we can answer only first question and rest can be reposted.

Q: Find the curvature K of the curve. r(t) = etcos(t) i + etsin(t) j + et k

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Q: Let a be a real number. Evaluate the following integral: y+1 So fix + y dxdy y-1

A: ∫0a∫y-1y+1 x+ydxdy this is given  we have to find double integration  here first we have to…

Q: Eliminate the parameter t to find a Cartesian equation in the form z = f(y) for: [z(t) = 3t² y(t) =…

A: We can express x in terms in terms of y as below.

Q: 7. Tammy is golfing. She wants to drive her ball from the tee to the hole that lies due east.…

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Q: Evaluate the following integral: 2² ²₂ 2² x+yz dædydz

A: Solution given below

Q: Simplify:- 16--// 5 2

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Q: If z=x+iy where x and y are real, find the real and imaginary parts of:- 1 x² - y² (x² + y²)² X x² +…

A: The number is 1z2 where z=x+iy

Q: (a) h(x) = x^√√x² +1 (b) f(x) = (3x² - 2x+1)³(x¹ -2r²- 3)² 4 (c) g(x) = (3-4) ¹ 5x+7

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Q: Use the Limit Comparison Test to determine if the series converges. k³ +7 k(k+ 3) (k − 2) (k+1) k=1…

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Q: 5. How many solutions are there between planes P₁: 2xy + 2z = 2 and P₂: -x + 2y + z = 1? If there…

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Q: Barbara knows that she will need to buy a new car in 3 years. The car will cost $15,000 by then. How…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: The sum of the geometric series Two (n=2 4n+1 n=0 5n-2 is

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Q: Find an algebraic expression equal to sin (cos-¹ (5x-3)). (You may assume that − <cos-¹ (5x − 3) <…

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Q: Find dr/dtheta for theta^(-7/9) + r^(-7/9) = -5

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Q: nd the intervals on which f is increasing and the intervals on which it is decreasing. f(x) = -x³-7x…

A: Use derivative for finding the increasing and decreasing interval.

Q: consider the integral 1² +5) dx 3 x a) Riemann sum using right endpoints and n=4 b) Riemann sum…

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Q: 2. A function f:D →→ R is said to be a periodic function if there exists a positive real number p…

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Q: Determine the point on the curve y = 19x² closest to the point (0, 5) with x>0. What is the slope of…

A: See this solution in below.

Q: Use a fixed-point iteration method to determine a solution accurate to within 10-2 forx-3x²-3=0 on…

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Q: The reverse order of 2 2 1 Jo Jy x 1 sinx cos dxdy is sinx cos dydx False True O

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Q: dx dt Please give an exact answer. If z² = x³ + y², = dt 1, dy dt Provide your answer below: = -1,…

A: The objective of the question is evaluate the derivative of the given function at given point.

Q: 1.5(8x³ − 6x² + 12x - - 9)dx

A: Using the formula of integration x^n

Q: Ishaan and Rishaan bought some chocolates. One of them bought 9 less chocolates than the other. If…

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Q: Solve: y + 4y = x² + ex Yc=C1+C₂_ Type the letter corresponding to your answer. QUESTION 1 Yp = A +…

A: I am attaching image so that you understand each and every step.

Q: A triangle is placed in a semicircle with a radius of 6ft, as shown below. Find the area of the…

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Q: Evaluate the integral. 7/4 O O [(10sect)i-(3+ sin t)j - (2sec t tan t)k)]dt (2√√2-37-4 2 10i+ 10i +…

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Q: 4. Let the universal set U, and the subsets of U are A = {x|x is a letter of your first name}, B =…

A: Disclamier: Since you have posted a question with multiple sub-parts, we will solve first three sub…

Q: If A is square matrix of order 3 such that|3 A| = 54. Find |A|

A: Using the properties of determinants

Q: 26. Given g = a + w. |g| = 400, pointing in the direction N57°W. |w| = 100, coming from the…

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Q: The directional derivative of f(x, y) = xey + cosxy at P,(2,0) in the direction of the vector 3i -…

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