Given the velocity v=ds/dt and initial position of a body moving along a coordinate​ line, find the​ body's position at time t.   v=sin(πt)​, ​s(−9​)=0

Q: 15. The length of the side of a square is increased by 100%. Its perimeter is increased by A. 25% B.…

A: The length of the side of a square is increased by 100%. Its perimeter is increased by how much…

Q: 4T (2n)-T(n) 4. Use Simpson's rule to approximate I'v = 3 2x3³ +23dx with S(40). Use the formula…

A: ​

Q: the Tonowing Tun f₁(x) = x, f₂(x) = x², f3(x) = 4x - 7x² g(x) = C₁f₁(x) + C₂f₂(x) + C3f3(x) Solve…

A: To check whether f1,f2 and f3 is linearly independent or not , find solution of trivial linear…

Q: Suppose that the function fis defined as follows. f(x) = - 1 0 1 2 3 Graph the function f. if -2.5 <…

A: Here we have to graph the function.

Q: Choose the angle (in radian) between the following two vectors u = and U = O 2.059 00 O None of…

A: We know that angle between two vectors a and b cos(θ)=a.b|a||b|

Q: Given the points A(-8, 2, 3) and B(-8, 2, -4). Question 3 b) Find the intersection of the line…

A: Question 3.The given points A-8,2,3 and B-8,2,-4.

Q: \(\) Choose x such that the following two vectors are parallel u= and U= O None of the others O…

A:

Q: Q4: Show if the series is convergent or divergent cos(n) n√√n n=1

A: Solution is given below:

Q: a. (f+g) (x)  the problem is f(x)=3x+4; g(x)= 2x-3

A:

Q: Question 10 Evaluate the following expressions. sin (tan-¹(√3)) cos (tan-¹(1))

A: By triangle property

Q: H.W: replace the following polar equations by equivalent Cartesian equation, then describe or…

A:

Q: 3. f- 8xdx

A: Solve the integration

Q: Maximize B=2xy2, where x and y are positive numbers such that x+y2=10. The maximum value of B is…

A:

Q: \(\) The vectors u= 8> and v= are not orthogonal if and only if -136 Select one: O True O False

A:

Q: The lateral area of a right circular cone of radius 4 cm is 100.53 sq. cm. Determine the slant…

A: Recall that the lateral area of a right circular cone having radius r andslant height is πrL.

Q: b) Find the value(s) of z such that the angle between the vectors U₁ = and U₂ = is equal to 30°.

A:

Q: Given the points A(-8, 2, 3) and B(-8, 2, -4). Question 3 a). Write parametric and symmetric…

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Q: Q4: Show if the series is convergent or divergent cos(n) n√n n=1

A:

Q: \(\) The geometric representation of the equation -4x² - 4y² = -12 is not a cylinder in R². Select…

A:

Q: Evaluate the infinite series by identifying it as the value of a derivative of a geometric series.…

A: Solution

Q: True or False: We have Select one: O True O False 8 [√x dx √xdx = 12.

A: We have to find the given value of integration is true or false.

Q: : Use the chain rule to find the derivative of w= x² + y² with dw with x = cost + sint, y = cost-sin…

A: This question is based on chain rule differentiation.

Q: H.W: Solve the differential equation y'− (1+x)(1+ y²) = 0

A:

Q: A) Verify that y = C₁е¯x + c₂e5x is a solution of the DE: y" - 4y' - 5y = 0. B) Find a solution of…

A:

Q: 9x² +4y²-24y - 72x - 144 = 0

A:

Q: dx -10 x

A: We can solve the integration as below.

Q: 5 1 3 √x² – 9 S dx

A:

Q: (d²4)(d-2)y=0

A: To find the roots of  (d2 - 4)(d - 2)y = 0.

Q: H.W: replace the following polar equations by equivalent Cartesiana equation, then describe or…

A:

Q: Use the matrices below to perform matrix multiplication. If the operation is undefined, enter NA. B…

A:

Q: Graph the function. = (x) = -4 X for-4<x<-1 for -1 < x < 4 -x² +16 for x ≥ 4 16 11 V 15- 14. 13- 12…

A: Consider the function  Consider the function    z(x)=-4                     for  -4&lt;x&lt;-1x…

Q: y = 2 16-2

A:

Q: A spherical triangle has an area of 327.25 sq. km. What is the radius of the sphere if its spherical…

A:

Q: Find all solutions of the equation in the interval [0, 2π). cos2θcosθ-sin2θsinθ = -1 write all…

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Q: 10) If 2 an = 12, then lim an = 848 n=1 (A) 1 8 (A) If lim 11) Suppose an > 0. Which of the…

A: Note:Our guidelines we are supposed to answer only one question. Kindly repost other question as the…

Q: 12. Use the Limit Comparison Test to determine whether k³ + 3k-1 2k5+5k2-6 converges.

A: The given series,    ∑k=1∞k3+3k-12k5+5k2-6

Q: Find the derivative of the logarithmic functions: y = ln(12x-4)

A: Solution of given question is written in below steps.

Q: Find all solutions of the equation 2 sin² x The answer is x₁ = COS x = 1 in the interval [0, 2π). ,…

A:

Q: Please recheck it, the answer is wrong. It isn't 823.

A:

Q: : Evaluate the integral: √2 3y 8-x²-y² 1. JIJ 00x²+3y² dzdxdy

A:

Q: Find the total area of the shaded regions enclosed by y = 3x³x² -x² - 9x and y = -x² + 3x. 8+ Q The…

A: Area bounded by two curve  f(x)  and  g(x)  from a to b Area =∫abf(x)-g(x) dx

Q: The value of the definite integral 2 [²4x 4x³ dx

A: Given integral ∫12  4x3  dx we use the formula ∫ xn dx=xn+1n+1+C    ; n≠-1

Q: The measure of the angle between the three- dimensional vectors u = (0, -1, -3) and v = (2,3,-1) is…

A:

Q: H.W: replace the following polar equations by equivalent Cartesian equation, then describe or…

A: This question is based on conversion of polar to rectangular form.

Q: (a) Use the Midpoint Rule with n = 6 to approximate integral 8 x-6 So dx 6 x+8 Write your answer…

A:

Q: Question 4 > 18/17-16-15-14-13-12-11 -18-9-8 -6 -5 -4 1-3 -2 -/ f(x) = 5 4 3 2 ma -2 in your The…

A:

Q: Consider the following functions. f₁(x) = 9, f₂(x) = cos2(x), f(x) = sin²(x) g(x) = c₁f₁(x) +…

A:

Q: What rate of interest compounded annually is the same as the rate of interest of 8% compounded…

A: . What rate of interest compounded annually is the same as the rate of interest of 8% compounded…

Q: 8. 2dx 3 3x

A: Given

Q: Find the derivative of the function y = 4 sec¹ (x + 2). (Use symbolic notation and fractions where…

A: We can find the derivative as below.