Suppose u v = T. . Which of the following is a possible angle between u and v? O 90° O 120° O 35° O 180°

Q: Σ(−1)n n² + 2n + 3 5η3 + n + 1 n=1 11.

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Q: p = 3 csc()csc (0)

A: find an equation in rectangular coordinates for the EQUATION GIVEN IN SPHERICAL COORDINATES  p=…

Q: d.) s 2x+3 x243x-1 dx

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Q: Q1: Fill in the blanks for the following statements (chose five only) 4n 1. lim-00 2n+1 2. log10 (3x…

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first three parts of…

Q: Guy wire to a 100-ft tower has a tension of 500 pounds. Writew the component form of the vector f…

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Q: (C): If w = tan x and x = 4²³ +t: Find?

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Q: Answer the following questions for the function defined on the interval [-5,7). a.) f(x) is concave…

A: Use derivative concept

Q: Find the solution to the initial value problem. dy = 2√√√√t, y(1) = 7 dt y(t) =

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Q: A function is given. f(x) = x³ 3x²; x = 0, x = 10 (a) Determine the net change between the given…

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Q: ind the angle between the vectors u=, v=

A: Given that u=1,1, v=-5,3To find :Angle between two vectorsSolution…

Q: Evaluate the integral and check your answer by differentiating. x8+8x5 - 1 x7 S dx = +C

A: To find out the integration.

Q: Given the initial condition y(0) = 2, what i the particular solution of the equation √x - √ (x² +…

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Q: A manufacturer estimates that it's product can be produced at a cost of C(X)=40000-100x+x^3. If the…

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Q: Q3 :(A): By using " L' Hopital rules "; Find the limits of : 1 (1) limx-o[: 1-cos x 2 sin²x A 1.

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: Given: f" f(x)dx= 36, [ f(x)dr = 12, 2. Find the ff. numbers: So a. C. f(x)dx b. [ (2f(x) + +12g(x)…

A: Explained below

Q: Σ n=1 sin n n2 + 10

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Q: Prove, using integration, that the volume of a sphere with diameter "d" is πYd³ 6

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Q: Solve the initial value problem y" + 4y + 4y = 0, y(-1) = 5, y'(−1) = 6. y(t) = =

A: The given initial value problem is y''+4y'+4y=0,  y(-1)=5, y'(-1)=6

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: The Disk Method :  Consider the curve x=f(y) and the y-axis between y=a and y=b and is rotated about…

Q: Let h(x)=f(x)g(x) where f(x)=−3x2+4x−1 and g(x)=−x2+4x+3. What is h′(4)? Do not include "h′(4)=" in…

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Q: Use Gauss-Jordan elimination to solve the given system. 3x + 6y – 3z = −2 -2y + 3z = 1 6x + 6y + 3z…

A: Follow the procedure given below.

Q: Find the volume of the solid generated by revolving the region bounded by the curves 3π y = sin x +…

A: Given problem:- Find the volume of the solid generated by revolving the region bounded by the curves…

Q: B. Solve one of the following inequalities. Write your answer as an interval or union of intervals.…

A: Please see the answer below.

Q: Solve the given initial-value problem. y(x) = y" + 6y' - 7y= 11e²x, y(0) = 1, y'(0) = 1 2x 7e -7.x…

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Q: Solve y" - 2y + y = 12e³t y(0) = -1 y'(0) = 0

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Q: Find the average value gave of the function g on the given interval. 9 ave 11 g(t) = t √8+2² 8 + t…

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Q: Evaluate 1) |x-2| dx

A: To find out the integration.

Q: Find the radius of convergence, R, of the series. R = 00 Σ n = 1 7 || xn 4n - 1 Find the interval,…

A: We have to find out the interval

Q: 16. M8 Σ n=1 –3η + 1 2n + 3 4η

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Q: Solve the following differential equations: a- cos (x+y) dx +(3y2 +2y +cos (x + y) dy=0 b- y = (x +…

A: Given a- cos (x+y) dx +(3y² +2y +cos (x + y) )dy =0 b-y'=(x+1)e-xy2

Q: 2 √(√sinx + cosx)² dx

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Q: Find the definite integral that will compute for the area of the region bounded by y = ex, y = 0, x…

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Q: 2. Find the trigonometric integral. (Use C for the constant of integration.) Star tan(0) sec³(0) de

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Q: 6. (8x³ − 6x² + 12x − 9)dx (x²-1)³ √x 8. [ V4 – x2 xdx 10 9. § (2x³ + 5)¹⁰ x² dx 7. S - dx

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Q: (B): Find the unit vector perpendicular to the vectors: 31-4/+5k 41 +5/-6k i (C): If w = tan x and…

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Q: e −1 -1 lim (−1) t⇒0 t

A: Use limit expansion

Q: find an equation of a plane passing through the given point and perpendicular to the given vector…

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Q: (C): Solve the following equations:- (1) sin 2x + 2 sin² = 1

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Q: 7. Use integration tables to find or evaluate the integral. (Use C for the constant of integration.)…

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Q: Solve the given initial-value problem. y(x) = y" + 6y'7y = 11e2x, y(0) = 1, y'(0) = 1 -7.x 11e2x 7e…

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Q: Solve the given initial-value problem. y(x) = y" + 6y' - 7y = 11e2x, y(0) = 1, y'(0) = 1 2x -7.x 7e…

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Q: Find a power series representation for the function. f(x) = X 8 - x³

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Q: Given the initial condition y(1) = 4, what is the particular solution of the equation y' = y (2x +…

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Q: Evaluate the integral by first modifying the form of the integrand and then making an appropriate…

A: We have to evaluate the integral by first modifying the form of the integrand ∫ [ln(e8x) + ln(e-8x)]…

Q: Q4: (chose one only) 3-x 1- f(x) = 2 x 2 a) Find limx→2+ f(x), limx→2- f(x) andf(2). b) Dose limx-2…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: find a set of parametric equations of the line through (2,8,3) and (11,20,21)

A: The line through the points (2,8,3) and (11,20,21)

Q: find a set of parametrix equations of the line through the point (5,6,2) parallel to vector v=

A: find a set of parametrix equations of the line through the point (5,6,2) parallel to vector…

Q: Using the Fundamental Theorems of Calculus, find the second derivatives of F(x): esin t b. F(x) =…

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Q: Use logarithmic differentiation to find the derivative of y y = X X+7 OA. OB. O C. (3)√ 2 7 O D. X…

A: topic- differentiation properties of log used:log(ab)=blog(a)logab=log(a)-log(b)derivative formula…