Write the first four terms of the sequence whose general term is given. an =n+5 a, = 6 a2 = 7 az = 8 a4 II

Q: dx 1- cos 2x

A: The given integral is ∫dx1-cos2x Now,        cos2x =1-2sin2x       ⇒  1-cos2x=  2sin2x…

Q: y3 r³ – 4x – 1 = 0 3 Find dy/dx and explain why dy/dx is always positive. Where on the interval [0,…

A:

Q: Find the curvature and the radius of curvature at the point t = 0. x = e' cos(t), y = e' sin(t), z =…

A:

Q: Use Green's theorem to evaluate F. dr. (Check the orientation of the curve before applying the…

A:

Q: Let F = (3y, -32) and let Crepresent the unit circle oriented counterclockwise. Calculate the…

A:

Q: Find the total area enclosed between y = x and y = x over th- %3D interval [-1,6]. NOTE: Enter the…

A: Here, to find the area enclosed by y=x3 and y=x over the interval [-1,6].

Q: 5.) Find the area of the triangle whose vertices are at A (-2,3), B (6, -6), C (8,0)

A:

Q: Convert the Cartesian coordinates (1, 0) to polar coordinates. (1, 0°) (1, 90°) (0, 0°)

A: The cartesian coordinate is  x, y = 1, 0 To evaluate: The polar coordinate corresponding to the…

Q: Determine the series' radius of convergence and interval of convergence: n-1 n | 1) n5" n=1 00 2n 2)…

A:

Q: LL %24 Use the graph to evaluate the limit. lim f(x) of 8. 2. pe here to search F4 F5 F7 # %

A:

Q: A 11. (2x- 3) dx 12 (+ 2x) dr SG²– 2) dr A -2 13. 1HIO

A: 11) ∫022x-3dx    A. -2 Explanation: ∫022x-3dx=2∫02x dx-3∫02dx                      =2x2202-3x02…

Q: Please use definite integral in solving for the area. a. y = Vĩ and y = x3

A:

Q: x = v2. t² Let C be the curve with parametric equations 3/2 where t E [0, +∞). 8 t+ 3 V2 8 4 '3 (a)…

A:

Q: Suppose that '(t) and F(0) . Find 7(t) F(t) = <

A:

Q: Solve the problem. Electrical systems are governed by Ohm's law, which states the V = IR, where V =…

A: Here we will find rate of increasing resistance,

Q: Given that f(z, y) = z (2y+4) +y(7z - 14) is a potential function for F = (2y+4+7y, 2z + Ta - 14).…

A:

Q: 6x3 + 7x7 – 8x³ – 8. Consider the function f(x) An antiderivative of f(x) is F(x) = Ax" + Bx" + CxP…

A: We want to integrate the given equation.

Q: Compute the directional derivative and gradient of f(x, y, z) = 4r – yez at (2, -1,0) in the…

A: Given: fx,y,z=4x-y2e3xz       at     2,-1,0 Directional Derivative = Gradient of function x unit…

Q: Express the polar coordinates (V2, -) as Cartesian coordinates. O (-2, -2) O (-1, -1)

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) cosh(8x) dx

A: We have to find the indefinite integral ∫cosh8x dx.

Q: What is the numerical value of tan(0)? (Hint: what does tan(0) represent?) tan(0) Preview

A: Given that the graph where theta measure radians  To find the numerical value of tan(theta)

Q: Find the volume of the solid that results when the region enclosed by 2.x y = e2, y = 0, x = 0, x =…

A:

Q: Find an equation for the tangent line to the curve at the given point. Then sketch the curve and the…

A: Given: y=8x, 16,32

Q: Evaluate the integral 3. 2х cos(xy)dydx 2

A:

Q: A 5 ft tall soccer player is running at 13 ft / sec, away from a big light source 30 ft above the…

A: I am attaching image so that you understand each and every step.

Q: Whale and Kanmuro are two islands located in the Chimera archipelago. These two are separated by a…

A:

Q: Click an item in the list or group of pictures at the bottom of the problem and, holding the button…

A: NOTE: Refresh your page if you can't see any equations. . the given coordinate is  which means the…

Q: 1 2 dx

A: ∫9x12dx=9∫x12dxusing formula ∫xn dx = xn+1n+1here, n =12

Q: Consider A = (0, 4, 2), B = (6, -1, 0) and C = (3, 0, 1). (i) Find the unit vector having the same…

A: vector

Q: A wooden rectangular box is to be made of lumber that is 2/3 in. thick. The inside length is to be 6…

A:

Q: 3 (x + h)³ – a³ lim h0 h

A:

Q: 3) Given: f(x)=x* - 5x'+9x? a) Use a sign analysis to show the intervals where f(x) is increasing,…

A:

Q: Find the general solution of the differential equation. ху + у' %3D 94х y =

A: Given query is to find the solution of the differential equation.

Q: 1 1) [ (tan³ 0 + tan³ 0) e-tan º d0== 2 (-1)" n! (In x)" dx= (m + 1)"+1 ·

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Convert the polar coordinates (2, 57) to Cartesian coordinates. O (1, -V3) O (-1, v3) O (-V3, 1)

A:

Q: What would be the shape of the graphr= 2 cos 0, given that 0 = 0, 7, 5, ? semi-circle in the first…

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 1 dx xV 16x2 – 1

A: Solve the  intregal

Q: Verify that the points are the vertices of a parallelogram, and find its area. А(1, 1, 3), B(—2, 3,…

A:

Q: a*Find the volume: Region: y=x2, y=1, x32 About y= -3

A:

Q: evaluate lim f (x) and lim f(x). X--00 -5 + 2e-* f(x) = %3D 5e-+6

A: f(x)=-5+2e-x5e-x+6limx→∞f(x)=limx→∞-5+2e-x5e-x+6             =limx→∞-5+2ex5ex+6…

Q: 3.) Find the area bounded by the curve y = 2x and y =x-4 a.) Using Vertical strips b.) Using…

A:

Q: If f(3) = 15, f' is continuous, and I f'(t) dt = 24, what is the value of f(4)? %3D

A: In this question, f is a primitive function and we have to find f(4). So I am providing the…

Q: If f'(x) > 0 and f" (x) < 0, then which of the following is true? o f(x) is decreasing and concave…

A:

Q: The marginal cost of producing the xth box of CDs is given by 9 – x/(x² + 1)2. The total cost to…

A:

Q: Compute the derivative of each function. f(x) = [sin(4² + x)] [cos(x* + 4)] %3D

A:

Q: clear

A:

Q: Find the quadratic function y=ax2+bx+c whose graph passes through the given points.   ​(1​,−1​),…

A:

Q: x2 sin 2x dx Use integration by parts

A:

Q: 2x2 1) Given: f(x)= 48(3x +16) f"(x)=- (² –16) -8 -48x s'(x)=: (x² -16) x-16 a) Determine any…

A: Given: f(x)=2x2-8x2-16f'(x)=-48xx2-162f''(x)=483x2+16x2-163

Q: The Characteristic impedance is R+jwL V G+jwC Z. 6.74x10°+j22.1056 0.29x 10 6+j6.28x8.7x10

A: