The formula for cos(at B) is cos a cos B - sin a sin B cos a cos B + sin asin B sin a sin B - cos a cos B

Q: Calculate the integral approximations T3 and Mg for dæ. Your answers must be accurate to 8 decimal p...

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Q: 3.18 Find the gradient of the following scalar fields and evaluate the gradient at the specified poi...

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Q: A ball is thrown downward with a speed of 17 ft/s from the top of a 289-foot-tall building. After t ...

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Q: Confirm that the integral test is applicable and use it to determine whether the series converges. 1...

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

Q: asap

A: We will find the value of the constant. 

Q: dæ What substitution could you make to solve the integral with Vx²+4x+8 a trig sub? x + 2 = 2 cos 0 ...

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Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = x2 - 1 - In...

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Q: (x² + 1 if x -1

A: For function g(x) to be continuous on -1 limx→-1-g(x)=limx→-1+g(x)=g(-1)   Considerlimx→-1-g(x)=limx...

Q: c. Evaluate the integral. 4 c3 4. S S(x² + 3xy²)dxdy

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Q: A ball is thrown downward with a speed of 10 ft/s from the top of a 100-foot-tall building. After t ...

A: a) t=2 seconds

Q: Determine whether ivergent.

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Q: Let A- {#, 7, x) and let R be the relation on A given by R (7, 7). (#. #)}. Prove or disprove reflex...

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Q: xy+yz b) lim (xy2)-(0.0.0) x+y2+2

A: To find the limit: L=lim(x,y,z)→(0,0,0)xy+yzx2+y2+z2

Q: Dialysis treatment removes urea and other waste products from a patient's blood by diverting some of...

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Q: Find the length of the graph Y (2? + 1) 2. on the interval (0, 2].

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Q: 8. Find a definite integral for the area of the region that lies inside the polar curve r2 = 8cos(20...

A: Here, given that the region is bounded by the curves: r2=8cos(2θ) & r=2 which is

Q: 1. S(Vz5 + Vx ) de с 6 x2/7 +- 2. x5/6 +x³ +C 1 x3 + C 1 7/2 x3 + C х6/5 + - х3 + C + - O A О в O c ...

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Q: 3. ponits Find the surface area of the volume generated when the graph of f(x) = /1+x², on the inter...

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Q: Given P = R³S°T°.5 + R0.5 S sin(2T), what is as O 2R³ ST0.5 +R-0.5 sin(2T) 3R ST0.5 + 0.5R-0.5 sin(2...

A: In this question,taking other part as constant and differentiate with respect to s. 

Q: im Cesx X200 2.

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Q: 2 before answering the question. When computing the integral , we make the substitution V4+a? 2 tan ...

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Q: 4x + 1 Find a value of x, if any, at which f (x) = is not continuous. 16x + 8x + 5 Enter your answer...

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Q: Penny can see the clock on the top of her town’s courthouse from her front yard. The clock is at a h...

A: Angle of elevation

Q: For the equation given below, evaluate y′ at the point (1,1). y-3x^2+2=0 y' at (1,1)=

A: Given equation differentiate w.r.t.x

Q: Ve da 6. Given x=- 1 a = 3x +2x-1 and and y=- find 2 de c-4

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Q: Suppose that the revenue from selling x radios is R(x) = 75x - dollars. Use the 10 function R' (x) t...

A: Here, the given revenue function is: R(x)=75x-x210⇒R'(x)=75(1)-2x10=75-x5

Q: (25/7 – 36 Evaluate the integral: (A) Which trig substitution is correct for this integral? Oz = 25 ...

A: Given: I=∫25x2-36x4dx  ...1 We know that; The trigonometric identities; 1). tanθ=sinθcosθ2). secθ=1c...

Q: et dx Ve²x+49

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Q: 2. STO Find the length of the graph of y = 2+ In(sin z) om the interval [7/4, 7 /2].

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Q: Use any method to determine whether the series converges or diverges. Σ k° + 8 k=1 O The series dive...

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Q: If E Uk and > vk are convergent series, then > (uk + vk) and (u – vk) are convergent series and the ...

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Q: A. Determine the indicated derivative for each of the following functions. x3 cos y 1. Find fxzy for...

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want...

Q: If s(t) = 2t-3t2- 12t +5, represent the position of a particle traveling along a horizontal line. De...

A: Let's find. 

Q: 1. Given the function f(x, y) = x² /ÿ. (a) Find the local linear approximation of f at the point (3,...

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Q: Evaluate the integral fr xe*" dA, where R = [0,4] × [0, 2]. (Use symbolic notation and fractions whe...

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Q: rtices of A ABC are A (0, 0), B (6, 0), and C (3, 7). What type of triangle is A ABC? A acute isosce...

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Q: Question 4 A ball is thrown downward wi Jot yet its height above the ground i nswered (a) Determine ...

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Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 8t-15t me...

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Q: 19. Use the method of Lagrange multipliers to find the extreme values of f(x, y, z) = 4x + 2y +z, su...

A: Let us construct the Lagrangian function, L(x,y,z)= 4x+2y+z+λ(x2+y+z2-1), λ is a constant. To get ex...

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as an imprope...

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Q: 5. 3x² + x -1 x+2 A 3x2 + 5x + 9 In I x + 21+C 2. 3x2 - 5x + 9 In I x + 21+ C 2. B 3x2 + 5x + 9. + C...

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Q: Calculate the integral approximation S12 for Si dz. 5+1

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Q: A psychologist contends that the number of facts of a certain type that are remembered after t hours...

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Q: Evaluate the following. 1. lim (2x – 11) x-4 x+4 2. lim x-2 l(x-1)(x+2),

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Q: The function h described by h(r) = 69.1 + 2.2r can be used to predict the height, in centimeters, of...

A: The function h described by h(r) = 69.1 + 2.2r can be used to predict the height, in centimeters, of...

Q: Prove or disprove without using horizontal line test whether the following function is onc-to- one a...

A: We have to check weather the function is one-to-one/onto

Q: 8. 2 sin? x- V3sinx = 0 9. 3 csc(2x) +6 = 0 %3D 10. 2 cos? x = 2+ sinx %3D

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Q: a) Consider the surface z = Find the tangent plane to the 3. surface at the point (4, 3, 5). (4.04)3...

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Q: Evaluate the double integral. xy dA; R. R is the region in the first quadrant enclosed by y = Vx,y =...

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