4.)S V dx Use only The Method of substitution/u-substitution on this item. Final answer should be in radical form.

Q: x³dx is equivalent to x² – 4 Using trigonometric substitution , A sec+0 do B) None © 8 C sin³e de D…

A: The given integral,        ∫x3dxx2-4

Q: Suppose f(x, y, z) = x2 + y + z? and W is the solid cylinder with height 7 and base radius 3 that is…

A: Given that f(x,y,z) = x2+y2+z2 and W is the solid cylinder with height 7 and base radius 3 that is…

Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Foci: (0, -…

A: The given ellipse has Foci 0,±2 and vertices 0,±6

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. 2 + 2)3/2, 1s ys…

A: The curve x=13y2+232 revolved about x-axis on 1≤y≤4

Q: If lim = 8, find each of the following limits. (a) lim f(x) f(x) (b) lim X 0 X

A: given  limx→0 f(x)x2=8

Q: The figure to the right shows four regions bounded by the graph of y = x sin x: R1, R2, R3, and R4,…

A: To find the value of the  given integral .

Q: S- (1+x?) ? x*dx U sing trigonometric substitution, / 3 tan Od0 (A sect sec 9d0 (B tan20 C) None…

A: topic- indefinite integral using trigonometric substitution 1+tan2θ=sec2θ

Q: x = -3x1 – 2x2 x2 = 9x1 + 3x2 %3D

A:

Q: Solve the logarithmic equation algebraically. Approximate the result to three decimal places. (If…

A:

Q: Use the Integral Test to determine whether the infinite series E is convergent. (Use symbolic…

A: We have to find if the series converges.

Q: A company determines that its demand function is given by p(g) = - 0.4q + 2211 and that its cost…

A: Given

Q: Find the velocity, speed, and acceleration of a particle moving with position function r(t) = (3t² –…

A: Velocity: Let r(t) denote a differentiable vector-valued function that represents a particle's…

Q: Solve using Gauss-Jordan elimination. 4x1 - 7x2 - 5x3 = 41 X1 - 3x2 = 14 Write the system of…

A:

Q: An antiderivative for is: 22 +81+20 1 O In + C I+8 ㅇ 올tan-1 () +C 금i미플의 O In 28|+ C O tsec- (4) + C

A:

Q: - 0.26t ng If C(t) = 53.3t e measures the concentration, in of a drug in a person's systemt hours…

A: Given query is to find the time when concentration will be maximum.

Q: Find the volume of the solid that is bounded by the surfaces z = 82 - x2 - y2, z = 0, x = 0, y = 0…

A:

Q: Find div F and curl F if F(x, y, z) = x’i – 7j + yzk. - div F= curl F=

A: Given that     F(x,y,z) = x5i - 7j + yzk

Q: Evaluate the integral (12x + 15y)dx + (24x – y)dy along the paraboli arc y = x from (0,0) to (1,1).…

A:

Q: Ql use the gauss elemen tution find? X-3Y+42=D0 2W-2x+3 -b+4X+34-82=0

A: Firstly , write the given system of equation in augmented matrix form and after that apply row…

Q: f(1) 100 g(x) lim where f(r) and g(x) are seen in the graph.

A:

Q: cIn2 e*dr = } 1 So Select one: O True O False

A:

Q: Find the tangential and normal components of the acceleration vector for the curve 7(t) = (- 3t,…

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Q: 4. Use partial fraction decomposition to evaluate dx x' + 4x +3 2

A:

Q: Determine the integral of the ff. functions. 1. S - 10 sin 5x dx 2. S 4 x cos x² dx 3. S sec 2 (3x +…

A:

Q: Which of the following is NOT a correct way to express the vector v = (2,-4) %3D a) 2î - 4 where î =…

A:

Q: Solve the following initial-valued problems. y'=(y/x)+2,   y(1)=3

A:

Q: Summation of n = 0 to infinity of (x3n) / (n!) Find radius and interval of convergence.

A:

Q: Evaluate the line integral |-ydx + xdy along the curve C: y = 30x from (30, 30) to (0,0). %3D NOTE:…

A:

Q: Suppose f(x) = x² – 10x + 1. Compute the following: - A.) f( – 2) + f(4) = B.) f( – 2) – f(4) = -

A: Given query is to find indicated function value.

Q: Use the Fundamental Theorem of Calculus to evaluate the following definite integral. | (4x2 + 9) dx…

A: To find the value of definite integral using  fundamental theorem of calculus.

Q: Find the Jacobian d(x, y) / d(u, v) for the indicated change of variables. u- v), y =u + v) X = -

A:

Q: Calculate the arc length of y = 3x + 3 over the interval [0, 3]. (Use symbolic notation and…

A:

Q: n2 1. Determine whether the series En=1 is convergent and explain why 2n++1 (In n)

A: We will use Ratio-Test to determine converge.

Q: Consider the parametric equations x = 4 cos(0) and y = 2 sin(0). (a) Create a table of x- and…

A: We know that   cos(-θ)=cosθ  and   sin(-θ)=-sinθ

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution. 1. dx 2. x²/4-x?

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Q: The particular solution that satisfies the differential equation and the initial condition dy/dx =…

A:

Q: A particle is moving in a straight line according to the position function s(t) = t³ – 61² +9t +5, t…

A:

Q: Sketch the image S in the uv-plane of the region R in the xy-plane using the given transformations.…

A: Given :

Q: You are assigned a task to design three rectangular cubicles lined up and sharing walls as in the…

A:

Q: A stone is thrown vertically upward from the ground with an initial velocity of 128 ft/sec. How long…

A:

Q: Find V. (V × F) if F(x, y, z) = 7 sin xi + 2 cos(2x – 3y)j+ 6zk. V·(V × F)

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Q: Evaluate: /x*V1-x*dx A None 3 글(1-x4) 2 +C В 3 -(1-*) C 3 (D (1-x+) +c - C 3 은(1-x) 2+C

A: We have to solve above question and find integral

Q: Find an equation for the hyperbola that satisfies the given conditions. Vertices: (+1, 0),…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: A tank contains 3 kg of salt dissolved in 430 L of water. A salt solution of 0.01 kg salt/L is…

A:

Q: The rate of decay of radium is proportional to the amount present at any time. The half-life of…

A:

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution . 1.

A:

Q: 5. Evaluate the integral by interpreting it as an area 2 L(1 - 2) de |

A:

Q: You've decided to sell sweatshirts for the upcoming game. You project that at a price of $30.05 per…

A:

Q: x³dx is equivalent to Using trigonometric substitution, Vx² –4 A 6/ tan*0 seco do B) None © 8 sec0…

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

Q: The particular solution that satisfies the differential equation and the initial condition of dy/dx…

A: topic- differential equations