Find distance from the point (0, 1, 3) to the line = 2t, y = 6–2t, z = 3+t

Q: Calculate and at the points (7,41, 1) and (7,41, –1), where z is defined implicity by the equation z...

A: Given the equation z4 + z2x2 - y - 9 = 0

Q: valuate and solve the linear differential equation (D5 - 15D3 + 10D2 + 60D - 72) y = 0

A: Given: (D5 - 15D3 + 10D2 + 60D - 72) y = 0

Q: Q4 Solve the equation sin 40 = cos 30 within the range -180 <0S180.

A: Basic calculus problem

Q: Show that the following differential equation is exact, then solve the equation. (3x? + 2y?)dx + (4x...

A: 3x2+2y2dx+4xy+6y2dy it is of the form     Mdx+Ndy=0where M=3x2+2y2   , N=4xy+6y2∂M∂y=4y∂N∂x=4y ⇒∂M∂y...

Q: Solve the following ordinary differential equation using the method of variation of parameter. e2t y...

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Q: Solve the first order differential equation. (3x - y - 4)dy - (x + y - 4)dx = 0

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Q: What is the critical point of the function f (x) = cos x? 2. What is the maximum point of the functi...

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Q: Find the solution for Bernoulli equation below. dy y ху? dx

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Q: cos(x) dæ with n = 4 is: The Trapezoidal Rule approximation for

A: Given ∫14 cos(x)x dx   n= 4 here f(x) =cos(x)x

Q: The given problem needs the first derivative. Find the first derivative. a² x Y= a² + x

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Q: Two people run for 13 seconds with velocity functions vi = a m/s for person A and vz = 3/Tm/s for pe...

A: Topic = Algebra

Q: Evaluate the expression. 2 7 + 3 6. 1 + 7+ 5- (Simplify your answer. Type an integer or a fraction.)

A: Topic:- algebra

Q: Consider the following. Function Point f(x) = arcsin 2x (a) Find an equation of the tangent line to ...

A: The given function f(x)=arc sin(2x) at the point 24,π4

Q: In Exercises 69-74, use the function value to find the indicated trigonometric value in the specifie...

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Q: Solve the linear differential equations (D5- 2D3- 2D²-3D-2) y =0

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Q: On the graph of f(x) apply. = sec x and the interval (-2n, 27), for what value of x does f(x) = 1? C...

A: f(x)=secxf(x)=1

Q: An ellipsoid S has the parametric equation S (0, Ø) = (cos0 sing, 2sino sinø, 4cos ø) where 0 and øa...

A: Given equation of ellipsoid S(θ,ϕ)=cosθ sinϕ , 2 sinθ sinϕ , 4 cosϕ

Q: Given the differential equation y" - 3y' - 28 = 6x e2 + sin(8x) Find the Differential Operator for t...

A: This problem can be solved as follows

Q: A volume is described as follows: 1. the base is the region bounded by æ = - y? + 10y + 95 and æ = y...

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Q: aghly, speaking, we can use probability density functions to model the likelihood of an nt occurring...

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Q: Evaluate the definite integral. 4. 2x/x3 + 1 dx

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Q: An airplane is flying on a horizontal path at the height of 3,800 feet. At what rate is the distance...

A: We need to find rate of distance changing.   ddθ(cscθ)=-csc(θ)cot(θ)

Q: Some integrals might seem complicated. But they will simplify significantly if them in the right way...

A: Given that Fθ=∫cos3θ+sin2θ-3cosθsin3θ+3cos2θ+2sinθ-3dθ Evaluate the given integral

Q: ii. (x + y)dA Where R = {(z, y)|1 < x² + y? < 4, x < 0}

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Q: The reference angle for an angle 0 (in degrees) is the angle 0' = 360°n – 0, where n is an integer a...

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Q: lo) Use a tangent plane to approx. the value of the following tunction. at the point (2.1L- 14.D) f(...

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Q: The accompanying figure shows the velocity v = f(t) of a particle moving on a coordinate line. (a) (...

A: Given:      Graph is given 

Q: 1. A missile fired ground level rises x meters vertically upwards in t seconds and x = 50t – 6.2512....

A: As per guidelines we can solve only three subparts at a time, so the first three subparts of the que...

Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded by y ...

A: Solve the curve by using cylindrical shell method.

Q: The temperatue of a town t months after January can be estimated by the function f(t) = – 28 cos( + ...

A: Given that: f(t)=-28cosπt6+41

Q: Find all points (x,y) on the graph of y = X-4 with tangent lines perpendicular to the line y = 4x- 3...

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Q: Use the graph to find the limit (if it exists). Sx + 3, x + -1.5 lim f(x), where f(x) = { -3 ,x = -1...

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Q: Evaluate the integral. dx x In x6 O !In(lIn x) + C O In x6+ C O tin xé + C O In(In x) + C

A: Solve the integration by substitution method

Q: Verify that f has an inverse function. Then use the function f and the given real number a to find (...

A: f(x)=x+9x+3,  x&gt;-3, a=2

Q: On the graph of f(x) = tan x and the interval [-27, 0), for what value of æ does the graph meet the ...

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Q: If f. g and h are functions defined on the set of real numbers defined by: F(x)= 3x+1, g(x) = 2x -1 ...

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Q: х — 1 x² + 8x + 15

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Q: Evaluate the integral. 了學 ( Inx dx O- In x - +C 2x 4x2 O-4 In x - + C 4x2 0.을 Inx- +C 2x2

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Q: 3) The electrical power, p(), in kilowatts, being used by a household as a function of time t, in ho...

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Q: a. Y= x* + 1 а. a²x b. Y = a²+x?

A: Follow the procedure given below.

Q: Regarding y as the independent variable and æ as the dependent variable, find the slope of the tange...

A: We can find the slope at the indicated point as below

Q: Use the Shell Method to compute the volume of the solids obtained by rotating the region enclosed by...

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Q: A patient receives a 150 mg injection of a drug every 4 hours. The graph shows the amount f(t) of th...

A: Given:

Q: It refers to the process of finding the derivative of a function. a. differentiation 9. b. integrati...

A: Given questions: 9. It refers to the process of finding the derivation of a function.    a)  Differe...

Q: Exercise 3.1. Find the derivative of the following functions: y = tan 2x 2. g(x) = xsin x – 5 cos x ...

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Q: You want to buy five bottles of soda in order to cater a small get-together at your place. You run t...

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Q: *Problems Involving Continuity A. Tell whether each given function has a solution on the indicated c...

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Q: Find the number(s) 6 such thát the average value of f(z) = 6x² – 26x + 32 on the interval [0, 6] is ...

A: Given that: f(x)=6x2-26x+32on [0, b].Average value is 11 on [0, b]

Q: In a free-fall experiment, an object is dropped from a height of h = 256 feet. A camera on the groun...

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Q: Find the derivative of the equation: h(w)=(5/2)(w2+8w+1)(3/2)(2w+8

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