Consider the vector whose initial point is P(-6, 1) and terminal point is Q(-5, -3). Find the position vector. Enter your answer in component form, i.e. as .

Q: Number 1234567890....1234567890 is given and contains 200 digits. All digits at odd places(looking…

A: Given data:- The given number is 1234567890 …..1234567890 (200 digits) To find the one digit left:-

Q: Use reference angles to evaluate sec (11"). 3 Enter the exact answers. For the number 7, either…

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Q: 2. Let f(x, y) = |x − 1| · yś. (a) Compute, if they exist, the partial derivatives få and fy at the…

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Q: Evaluate the following integral. Can partial fraction decomposition be used to evaluate the given…

A: We have to find the integral.

Q: 1. The Louvre museum in Paris features an inverted square pyramid with a height of 10 m. The side of…

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Q: Answer: Use a triple integral to find the volume of the solid enclosed by the paraboloids y = x² +…

A: Let's find volume by using triple integral.

Q: Find the work required to move an object in the force field F = (x,2) along the straight line from…

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Q: Find the integral of f(x) = 1 √1-16x² between 0 and 1.

A: The given integral is 1/sqrt(1-16x2).

Q: 2. A force F = [-2,1,5] in Newtons, pulls a sled through a displacement s = [-3, 5, 4] in metres.…

A: Using dot product of vectors and obtain the magnitude of the force vector

Q: e cos(x) = 1 + sin(xy) 2 2

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Q: Find all the values of x such that the given series would converge. ∞ (-1)" Σ (x¹)(n+3) (5)" n=1 The…

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

Q: Find the indicated value. f(5,2) if f(x,y)=2x²y-5xy³ f (5,2)= 10 (Type an integer or a simplified…

A: Given a function fx,y=2x2y-5xy3 We have find the value of fx5,2 Derivative of a polynomial function…

Q: Find the indicated value. fx(9,1) if f(x,y)=9x²y - 5xy³ fx(9,1)= (Type (Type an integer or a…

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Q: Use Part I of the Fundamental Theorem of Calculus to find each of the following when f(x) = [tªdt.…

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Q: Given f''(x) = 7x - 2 and f'(0) 2 and f(0) = 1. Find f'(x): and find f(4) =

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Q: A supermarket sells two brands of granola: brand A at $p per pound and brand B at $q per pound. The…

A: We have to find partial derivatives and new values of x and y .

Q: for problems 16 and 17, use the following. the following rule of func f(x)= x² + 4x² +2 to find 75…

A: Given: f(x)=x3+4x2+2

Q: Evaluate the indefinite integral. 2x - 3 (2x² - 6x + 1)6 dx + C

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Q: 2. Use the process of implicit differentiation to find given that sin(4x) + sin(2y) =

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Q: Find fxx (x,y), fxy(x,y), fyx (x,y), and fyy (x,y) for the function f. f(x,y) = 5x e 8xy fxx (x,y) =…

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Q: Convert from polar to rectangular coordinates (0, 7/7) (Round your answer to 2 decimal places where…

A: Part iGiven,            0,π2

Q: 5 Suppose f(x) dx = 4 and g(x) dx = 3. 96 -3 -3 5 Evaluate (3 f(x) + 2 g(x)) dr. -3 Remember to…

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Q: . A rectangle has a perimeter of 6x + 9x² - 10x +5 and a length of x. Find the width of the…

A: Given: Perimeter of the rectangle is 6x3+9x2-10x+5 and length is x.we need to find the width when…

Q: Q4. Find the values of the constants a, b, c so that F = (axy + bz3³)ī+ (3x² - cz)j + (3xz² - y)k is…

A: Note: According to our expert guidelines only first individual question is to be answered kindly…

Q: Find the derivatives of each of these functions. a. y = (x¹+csc(z)) ³ b. y=sin(z) sec(41) c. y = csc…

A: Note - As per our guidelines we have to answer first three sub parts if multiple subparts are posted…

Q: Evaluate the following indefinite integral. 1 √2 + 3x² Note: Don't forget your C! And be sure to use…

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Q: Q-3: a) b). Using logarithmic differentiation, find the derivative of -3x√2x-5 (6-5x)4 - 34x = 0.…

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Q: Using logarithmic differentiation, find the derivative of e-3x √√2x-5 (6-524 f(x) =

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: Find the equation of the line tangent to the graph of y = (x2 - x) ln (8x) at x = 2

A: Topic = Derivative

Q: Find fxy(x,y) if f(x,y) = (x² + y²)6.

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Q: Given that the graph of f(x) passes through the point (8, 4) and that the slope of its tangent line…

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Q: Find the point at which the line F(t) = + t intersects the zz plane. Check Answer

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Q: Use calculus to find the open intervals on which the function f (x) = x +4√1 − x is increasing or…

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Q: fin(x² + 1)dx (Ans: xln(x² +1)−2x + 2 tan¯¹ x + C)

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Q: Write the sum using sigma notation. 2+4+6+ + 50 71°F Sunny k=1 Need Help? *** Read It Watch It

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Q: Let P be the set of positive real numbers. One can show that the set P³ = {(x, y, z)|x, y, z € P}…

A: The objective of the question is determine the vector .

Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of y=-x² + 7x between x = 1…

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Q: B A 876, 5432 -10-9-8-7-6 -54 -3 -2 -1 1234 -1 Graph of f D 1 2 3 4 5 6 7 8 9 10 C x.

A: We will find the required.

Q: Q1. Find the equation of sphere with center (1, 2,-1) passing through the point (-1, 2, 1).

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: A sequence is defined recursively by the given formulas. Find the first five terms of the sequence.…

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Q: Find the general antiderivative of f(x) = = + C -28²³-03-2/3 + √²

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Q: IN 10 MINUTES PLEASE JUST WRITE THE ANSERS NO DETAILSSSSS!!!!! Let f(x,y) = xsiny + ysinx +xy be…

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Q: For the function f(x)= −2sin(x−3π/2), determine its amplitude and period, and then graph it for two…

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Q: sin(x - a) lim x→a 2(x²-a²)

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Q: Evaluate the integral: (A) Which trig substitution is correct for this integral? 1 0x = -sec (0) 10…

A: The given integral is: ∫dx64-10x232 (B) To find: Which integral do you obtain after substituting for…

Q: 40- 30 20 10- -10 10 10 20 30 40 50 60 Christian is a lifeguard and spots a drowning child 60 meters…

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Q: Find the area A of the shaded region of the cardioid r = 9 - 9 cos (0) . 3 -X The cardioid (Express…

A: This is application of integration problem

Q: Describe the shaded sector in the figure by inequalities in r and 0. "left = Assume that the radii…

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Q: The weekly marginal cost of producing x pairs of tennis shoes is given by the following function,…

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Q: Write a limit using summations that would equal So 0 tan (2x) dx.

A: The integral is given by ∫01tan2xdx To evaluate: The limit using summation that is equal to the…