Given cos(x)- 글 " what is the value of cos(x +)? 0 O via - IN I 12

Q: Save Complete the following steps for the given function, interval, and value of n. a. Sketch the…

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Q: 2. Integrate the rational function below without using partial fraction decomposition. S -dv

A: Integrate the rational function below without using partial fraction decomposition v2/(v6-1)

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

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Q: A. Find the following limits. Answer four only. x-¹-1 i. ii. iii. lim- X-1 X-1 lim 4x-x² X-4 2-√√x…

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Q: 2 √(√sinx + cosx)² dx

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Q: -1 xp(x + 1)zz² J

A: The given integral,        ∫-11e2x1+xdx

Q: Consider the following. x = et, y=e-2t (a) Eliminate the parameter to find a Cartesian equation of…

A: Given  x=et  ,  y=e-2t   Then we can find out cartesian curve by eliminating parameter 't' .

Q: Suppose S. f(x) dx = 36, [₁² f(x)dx = 12, ²9(1 1. (2f(x) + +12g(x) — 4h(x)) dr g(x)dx = 24, and h(x)…

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Q: Q5: Find for the following fun dx (1) In(x - y) = xy + y² ;

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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: Find the lengths of the missing sides if side a is opposite angle A, side b is opposite angle B, and…

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Q: At how many points do the curves r₁(t) = ((t + 1)², — t² − 2t, t+2) and r₂(t) = (1 – t², t, t) -…

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Q: a. Find an equation for the secant line through the points where x has the given values. b. Find an…

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Q: Find the slopes of the surface in the x- and y-directions at the given point. h(x, y) = x2 − y2 (-2,…

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Q: Q5: Find for the following functions: dy dx (1) In(x - y) = xy + y² ;

A: Find the derivative

Q: Use substitution to evaluate the definite integral given below. 1² (Enter an exact answer.) Provide…

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Q: Use geometry (not Riemann sums) to evaluate the following definite integral. Sketch a graph of the…

A: This question can be solved using the concept of geometry to solve definite integrals.

Q: Calculate approximations of tan(π/4-0.1) by using Taylor polynomials P₁(x), P2(x), P3(x). Use c=π/4.…

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

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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: 3. y = √(1-x²³ √1-22

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Q: 3. Suppose [ f(2)dx = 36, So r)dr the following: a. b. f f(x)dr 50 f(r)dr = 12, (2ƒ(r) + +12g(r) -…

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Q: 16. M8 Σ n=1 –3η + 1 2n + 3 4η

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Q: Find the double integral that will compute for the area of the region bounded by x = y² and x = 4.

A: The given curves are; x=y2 and x=4 So, the bounded region is as shown below.   As we know that;…

Q: Find the derivative of y with respect to the independent variable. y = 2ln 2t 2 In 2 t OB. 2In 2t In…

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Q: dp dt Suppose that the current population is 100,000. (a) What is the predicted rate of growth 3…

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Q: 5x3+ 40x² + 94x - 1 (x² + 8x + 17)² 1³ dx

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Q: A spherical iron ball 8cm in diameter is coated with a layer of ice of uniform thickness. If the…

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Q: 1. f√√x²dx 2. Jdx 3. (2x + 3)² dx (4x²–5x+6) 4. S x² 3 5. f ( t + 1)²³ dt S dx

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Q: S." (inx+4)" x dx

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Q: A manufacturer estimates that its product can be produced at a total cost of C(x) = 45,000+ 100x +…

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Q: Estimate the slope (slope = rise/run) of the tangent line to the curve. Ay for 19 8 7 -6- 5 4- -3- H…

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Q: find the area of parallelogram A=(0,2,0) B=(2,5,2) C=(3,8,4) D=(1,5,2) round to 2…

A: The given points are A=(0,2,0), B=(2,5,2), C=(3,8,4), D=(1,5,2)

Q: If the terminal side of angle A goes through the point (−24/25,7/25) on the unit circle, then what…

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Q: L) Prove that (3-2)(x+2) = 3 +21 iFitwas

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Q: Find the radius of convergence, R, of the following series. Σn!(7x - 1) n = 1 R Find the interval,…

A: Here we have to find the radius and interval of convergence.

Q: af The partial derivative evaluated at P is 6. əx Find the directional derivative of f at P in the…

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

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Q: Given f" (x) = 8x − 6, ƒ' (1) = −3, and f(1) = 5 find f(x).

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Q: Let f be continuous over [a,b] and differentiable over (a,b). Then there exists at least one point…

A: Let f be continuous over a,b and differentiable over a,b. Then there exits at leastone point c∈a,b…

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

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

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

A: Firstly expand the fraction of given Integral and then integrate

Q: sint F(x) = √"* ( *ª*** ( √ ¹ + uª) du) dt Jo

A: The Fundamental Theorem of Calculus says: F(x)=∫ag(x)f(t) dt⇒F'(x)=f(g(x))g'(x)

Q: Consider an exchange economy with 2 consumers, A and B, and 2 commodities, x and y. Each consumer is…

A: Multiple subparts are asked, I am answering first 3

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

A: Here, given that u, v∈ℝ3 and u·v=π

Q: Find the volume of the solid generated by revolving the region bounded by the curves y = sin x + 1…

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Q: Find the average value of f over the region D. f(x, y) = 6x sin(y), D is enclosed by the curves y =…

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Q: Question 2 Find a differential equation whose general solution is y = c₁est + c₂e-2t. 0 2

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Q: Verify that the function satisfies the three hypotheses of Roll's Theorem on the given interval.…

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Q: Find all the zeros. Write the answer in exact form. q(x)=x²-₁ -7x+14x-6 If there is more than one…

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