a(t) =D 글 i+ j+ cott k. Find v(t) if

Q: as y y = f(x) (10, 4) Tangent line (4, 2) ive your answer to three decimal places.)

A: G

Q: Use Cosine and Sine laws to find the missing lengths and angles in figures 3. 30

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

Q: Evaluate the integral. (Use C for the constant of integration.) x2 - 49 dx

A: Find your answer below 

Q: Trigonometric Substitutions The three basic trigonometric substitutions are in the table below. Inte...

A: ∫xn dx = xn+1n+1+C

Q: Use Disk Method or Washer Method (for all parts) to set up an integral (without the absolute values)...

A:

Q: In how many ways can you place 9 different books on a shelf if there is space enough for only 5 book...

A: Given, 9 different books on a shelf and there is space only for 5 books. 

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Q: Suppose that 8 J of work is needed to stretch a spring from its natural length of 40 cm to a length ...

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: Let's find. 

Q: EXERCISE 1.4 Solve the lim [log(x)] by completing its table of values. Solve the x-10 one-sided limi...

A:

Q: The displacement of a particle on a vibrating string is given by the equation s(t) = 15+sin(8t), whe...

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Q: Find the area of the area bounded by the given curves. Draw a figure showing the region and a rectan...

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Q: 8x²y" + 10xy' – (1+x)y = 0

A:

Q: (a) Find an equation of the tangent plane to the surface at the given point. x² + y2 + z2 = 26, (1, ...

A: Given problem:- (a) Find an equation of the tangent plane to the surface at the given point.   x2 + ...

Q: Find the exact length of the curve. x = 3 + 9t2,    y = 4 + 6t3,    0 ≤ t ≤ 4

A:

Q: Use implicit differentiation to find y' for 5a'y + In (ry') = 5. %3D y' Preview

A:

Q: Determine whether S is a basis for the indicated vector space. S = {(0, 0, 0), (2, 4, 6), (6, 3, 2)}...

A: This is a problem related to vector. If the determinant of the given vector space is zero then it ca...

Q: (2) V+ Vx? + Va 4x2+2yx2-Vx+1 4x2+2x2+Vx-1 (a) (b) 4x2+2/x²+vx+1 4xZ–2,x²+vx+1 (c) (d) O b O d a

A:

Q: 1. Determine el área encerrada por la elipse + = 1 y? 25 2. Determine el área de la región bajo la c...

A:

Q: Find the standard form of the equation of the hyperbola satisfying the given conditions. Foci at (0,...

A:

Q: 4. Determine if g is differentiable at r 0 if 2 cos-r, if -1 0. r+ cos r

A: The objective is to determine if g is differentiable at x=0 or not. 

Q: ren f(x, y) = In Va²y3. What is = value of fy(1, 2)?

A:

Q: Solve for the Linear Differential Equation: y' - y = e^x

A:

Q: Solve the following differential equations of dy 1 + -y = xy'; dx 'Linear Differential Equation

A: The standard form of Bernoulli's differential equation is: dydx+Py=Qyn Where; P & Q is the funct...

Q: 2. Apply appropriate trigonometric substitution to compute the integral 1-4x +2 dx /2x

A:

Q: olve the following differential equations of 2 • dx+ 2(xe" – y)dy =0;

A:

Q: 1.)C

A: Please refer to the image below

Q: Reciprocal Substitution – x³ )/3 dx

A:

Q: : Solve-Using D-operator dy dx + Зу - 5х — е t - 0 dt %3D dt dx dy +x + y-3 = 0 dt %3D dt

A:

Q: For the given cost function C(x)=40000+700x+x2C(x)=40000+700x+x2, First, find the average cost func...

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Q: Find the area of the parallelogram that has u= 2i – 2j + k and v=j+3k as adjacent sides. NOTE: Enter...

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Q: Aline is drawn from point ( 4, 4) to the point (-3,-3), what acute angle does it make with the-ive Y...

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Q: For the given function, find all values of c over the interval (, 22) stipulated by Rolle's f(x) = x...

A: To find the value of "c" by using rolles theorem. 

Q: ydy A) y* +Sy +6 B) x+x²+x+2 x* +3+2

A: use partial fraction method to integrate

Q: Sketch the region bounded by the graphs of y = v1-x, y 1-, and y = 0. Find the volume of the solid o...

A:

Q: 2. Express the shaded area of the region shown below by double integrals of order of integration (1)...

A: find area using double integration

Q: Integrating Hyperbolic Functions 13. Evaluate, | sinh* x cosh x dx 14. Evaluate, dx xVx? +16 15. Eva...

A: As per the guidelines I am supposed to do the first question among multiple questions. So here I am ...

Q: sec2zydy Evaluate the integral: Jtzy(3+tan-zy) A. In(3+ tan²2y) +C In(3+ tan?2y) +C In(3+ tan 2y) +C...

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Q: リ=!-Cos2x 1+(os 2x prove y = 2 tanx .secx

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Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded b...

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Q: If f is continuous over the interval [a,b] and F (x) is any antiderivative of f(x) then f(x)dx = F(b...

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Q: Solve for the antiderivative of the function f(x) = C. *++3x + C A. ++9x+C B. 즉++9x +C D. 2x ++3x + ...

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = square root...

A: This is a problem related to find area of the curve using integration. Please use below method to so...

Q: Use your khowledge on Higher-order derivative and Chain Rule to show that z" + 4z' + 8z = 0 if z = e...

A: Here we are using simple differentiation method. First find out the first derivative of z then the s...

Q: xdx Evaluate Vx-16 Vx2+16) +. Vx2-16 + C A. In In +C C. In In ) x-16 x--16 в. In In + C D. In In + C...

A: Given

Q: Sketch the region whose area is given by the definite integral and then use a geometric formula to e...

A: Given

Q: Given f(x,y) = 3x sin(2xy).  Find fx(3,3). Give you answer correct to two decimal places.

A: The objective is to find fx(3,3).

Q: Find the volume of the solid generated the area bounded by the line through (1, 3) and (3, 7), and t...

A: Let's find. 

Q: Five couples want to have their pictures taken. In how many ways can they arrange themselves in a ro...

A: Here we have to find the total numbers of ways so that they can arrange themselves in a row of coupl...

Q: Use Disk Method or Washer Method (for all parts) to set up an integral (without the absolute values)...

A: