Define the points P(1,1) and Q(3,-4). Carry out the following calculation. Find two vectors parallel to QP with length 4.

Q: Determine whether the alternating series Σ (- n=1 COMING (-1)+1 8 converges or diverges. Choose the…

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Q: lim (x,y)→(0,0) lim (x,y)→(0,0) 7x²+4y 4y 49x²-98xy+49y² 7x-7y

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Q: Find all the zeros of the quadratic function. y=x² - 10x+16 If there is more than one zero, separate…

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Q: X Find the average value of y= 4 cos on I 2 ST 6

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Q: Suppose g(x) is differentiable at x = −7, g(−7) = 4, and g'(-7)= 2. Select all statements that must…

A: Suppose gx is differentiable at x=-7, g-7=4, and g'-7=2.To determine the true statements that are…

Q: 80 1 n+8 Does the series (-1) converge absolutely, converge conditionally, or diverge? n=1 Choose…

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Q: (a) One lender offers Kim an APR of 6% for a 7-yr term. What would be the amount of Kim's monthly…

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Q: Find ду ах if 2 Y = (x²+1) • 1₁ (x² + 1) In

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Q: 2 the integra 5.° 0 2e sin 0 de using

A: The given integral is 2e-thetasin(theta) , mlimit from 0 to infinity.

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Q: Show that the differential form in the integral below is exact. Then evaluate the integral. (3.-1.1)…

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Q: Evaluate the integral. (Assume a b. Remember to use absolute values where appropriate. Use C for the…

A: Given ∫4(x+a)(x+b)dxTo evaluate the integral:

Q: The integrand of the definite integral is a difference of two functions. Sketch the graph of each…

A: This is a problem related to integration. Please find the general procedure given below.

Q: Find the linear approximation of given function at (0, 0). 3x + 4 2y + 1 f (x, y) = f(x, y) =

A: We have to find the Linear approximation of the given function.

Q: dy/dx+(2/x)ydx=3dx

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Q: —— Solve given differential equation 2(xdy+ydx)+3x2dx=0; when x=1 y=2

A: Here, the given DE is: 2(xdy+ydx)+3x2dx=0⇒2x dy+2ydx+3x2dx=0 Dividing it by 2x dx we have:…

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) z√z…

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Q: Show that the differential form in the integral is exact. Then evaluate the integral. (1,2,3)…

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Q: 1 dy = (64xy) 3 dx

A: Please see the answer below.

Q: Unauhauhay Question 5 of 10 x²+x-6 U 1-27²-5-².a Inal Inal Inal lim Evaluate the limit 2x2-x-2.

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Q: I cant underestand this please write on paper

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Q: Consider the system of differential equations x₁ = 10/3x₁ +4/3x2 x2 = 8/3x₁ +14/3x2 9 where x1 and…

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Q: Question 3 of 10 1 f(x)=-1 →2 Given find the following limit lim 7f(x)-g(x)² g(x)+1 lim g(x)=1 use…

A: This question can be solved using the concept of properties of limit.

Q: tim п-х 2 (n-3₂²)

A: Given;  limn-infinity (n-3n2).

Q: Find the derivative for each function. a. f(x)=√x² b. f(x)=x²-3et c. f(x) = secx-cos.x

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Q: Find the equation of the line tangent to the graph of f(x) = −2x² + x + 3 at x = 1. Provide your…

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Q: 4. The hyperbolic trigonometric functions are defined as follows: e² + e² 2 e² - e² 2 cosh z = sinh…

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Q: f(x)=(1+ 4x)1/5; (0.94)1/5

A: We have to find the value of function at point x =.94

Q: 4. Find the area of the surface formed by revolving the graph of f(x) = x² on the interval [0,…

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Q: 9. The value of f 1-x 1+x A. sin ¹¹x + √1 + B. sin¹x - √1 + dx x² + C x² + C C. sin ¹¹x + √1- x² + C…

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Q: Consider the system of linear differential equations We want to determine the stability of the…

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Q: Find the minimum distance from the point (6, 0, 5) to the plane x - y + z = 3. (Hint: To simplify…

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Q: 3. The value of A. B. C. D. [xsản xdx (1 - x²) 3/2 + C -sin-¹ x - √1 − x² + ² - (1-x²) ³/² + C sin-¹…

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Q: 1. The value of A. sin-¹(²*²+¹) + C 5 sin-¹(²*x+¹)+C B. C. sin-¹(+¹) + C D. sin-¹ (¹) + C 2x

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Q: Find a function whose graph is the given curve. the bottom half of the circle x2 + y2 = 4 f(x) =

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Q: -21x Use substitution to find the Taylor series at x = 0 of the function e What is the general…

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Q: Let f(x) = 4x²-15x-4 x² +9x-52 (A) lim f(x) X-4 . Find the indicated quantities, if they exist. O A.…

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Q: eased equipment worth $70,000 for 5 years. If the lease rate is 5.75% unded quarterly, calculate the…

A: Please refer to the image below

Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. M8 Σ nl…

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Q: Compute (-3,-5, -1) (3,1,-4). (-3,-5, -1) (3,1,-4)= (Simplify your answer.) |

A: (-3,-5,-1)*(3,1,-4) here dot product is given  and we have to multiply this vector  formula use:…

Q: Question 8 of 10 Calculate the appropriate limit to determine the equations of any horizontal and e…

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Q: a)₁- b) [ : Evaluate the integral 3x - 1 (x + 4)(2x - 1) : Evaluate the integral dx x√x² - 64 6 c)…

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Q: Sales Analysis The total sales S (in thousands) of a video game are given by at² t² + b' where a =…

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Q: (iv) Find the average value of f over the given rectangle. f(x, y) = e³√√x+e", R = [0, 4] × [0, 1].…

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Q: Find a potential function f for the field F. F = (4y + 5z)i + (4x + 3z)j + (5x+3y)k A general…

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Q: 8. f(sin3x – cos4x) dx

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