(d²x) Q²: L {1²} dt² =?

Q: Where does the line with the vector equation [x,y,z] = [6, 7, -8] + t[-2, 4, 1] intersect the…

A:

Q: 3. Determine vector and parametric equations of the plane with Cartesian equation 3x - 2y +z + 6 =…

A: Cartesian equation of plane is

Q: b) Find all the values of a and b such that the plane and the line will always intersect at a single…

A: We have to sove part b and cPlease select text to grab.

Q: If you were given a conic section in general form, how would you determine what type of conic…

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Q: 14. Find the equation of the tangent to the following functions at the indicated point. a)…

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Q: 2. Determine the Cartesian equation of the plane containing these lines: z+2 x-5 z+5 3 and L₂: *5 =…

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Q: (x = 2+t 10. Given L₁: y = 1-t;t ER and L₂: F (3,0,-1) + s(2,3,-1); SER z = t a) Determine whether…

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Q: Suppose that f(2)=-4, g(2) = 3, f'(2) = -1, and g'(2) = 5. Find h'(2). (a) h(x) = 3f(x) 2g(x) h'(2)…

A: Given that  and .To find the derivative value of .Derivative formula:

Q: 5. Which equation can be solved by referencing the graph below? -1/2 -11/4 3 cosx – 1 = sinx O…

A: The range of both cosine and sine function is .The value of the sine function is zero for all…

Q: 6. f(x) = X a. lim f(x) x-0* b. lim f(x) X-0 c. lim f(x) X-0

A: f(x)=|x|/xFind the limit at 0.Find the right hand limit and left hand limit at 0.

Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. 9…

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Q: The terminal ray of angle drawn in standard position passes through (2, -3). What is the value of…

A: given the terminal ray of angle  drawn in standard position passes through (2,-3)

Q: find the integral sinh sinh?(5t)cosh?(5t) dt

A:

Q: Given f(x, y): fz(2, 3) - fy(2, 3) = -4x¹ +5xy² + 2y³, find the following numerical values:

A: The given function is; f(x,y)=-4x4+5xy2+2y3Find fx(2,3) and fy(2,3).

Q: q12.14. Say you know that a sphere has its middle point located at (0,0,0) and has a radius of 2…

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Q: Find all the second-order partial derivatives of the function f(x,y) = 3x + 1y+2: 2²f 11 ах'…

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Q: 5. Find the absolute maximum of f(x) = x¹e-77 on [0,4]

A: The given function is,

Q: Find the extreme values of f(x,y) = xy subject to the constraint x² + y²-16=0. The extrema are (Use…

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Q: According to the properties of logarithms log(8) = 3log(2) O True False

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Q: :. Calculate the total amount of interest earned from this investment during the 4-year period.

A: The amount invested, P=$13000Interest rate, i=5%Compounded frequency, m=2 (semi-annually)

Q: Solve the following autonomous differential equation with the given initial condition. dy dt =…

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Q: While taking a walk along the road where you live, you accidentally drop your glove, but you where.…

A: p(x)=5e-5x for x

Q: For what value of k the following piecewise defined function will be continuous? [k - 2 cos x, e4x+1…

A:

Q: If ƒ(4) = 3 and fƒ'(4) = −5, find g'(4) where g(x) = √xƒ(x).

A: To find g'(4) where g(x) = sqrt(x).f(x)  also given f(4)=3 and f'(4)=-5Derivative using product rule…

Q: What is the maximum value of for 0≤x≤ 10? 2e - 1

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Q: Suppose Find: (a) (fg)'(5) (b) (f/g)'(5) = (c) (g/f)'(5) = = f(5) = 5 g(5) = 8 f'(5) = 3 g'(5) = 4

A:

Q: Find the Volume V(S) of the solid S generated by given R: R is the region bounded by y=6-x² and…

A: To find the volume  of the solid S generated by given R: R is the region bounded by  and  and it is…

Q: the distance traveled by a particle in t seconds is given by s(t) =t^2+4t. what is the particles…

A: Given that, the position function for the distance traveled by a particle in t seconds is s(t) = t2…

Q: Consider the curve y = x² + 3x +5. Find the slope of the secant line at the point where x = 9. Oh +0…

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Q: Assuming - 2x³ + 4y² + 6xy = 0 defines y as a differentiable function of x, use the theorem dy dx -…

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Q: 5C AND D

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Q: Write the following expression -3-In(x) - In(y) 3-In(x) + In(y) 3-In(x)-In(y) -3-In(x) + In(y) In XV…

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Q: Differentiate but leave your answers in unsimplified form. a) y = 5x³ 4x-² +6 c) y = √x² + 3x b) y =…

A: We know that the derivative of x^n=nx^(n-1)

Q: Find the linearization L(x,y,z) of the function f(x,y,z)=√x² + y² +z at the points (5,0,0), (5,3,0),…

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Q: 20. If f'(r) exists at r= a, then (A) True (B) False lim f(x) = f(a) PTA

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Q: 6. Find the limit or explain why it does not exist (and if it is too). √16x4+7x 8x² +5 (i) lim 818

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Q: The plane x + y + 2z = 10 intersects the paraboloid z = x² + y² in an ellipse. Find the points on…

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Q: We can calculate w by determining the distance per second. What is the rate of the revolution for…

A: Formula for the angular velocity is as follows Where N is the Rate of revolution is the angular…

Q: Find the volume of the solid enclosed by the surface z = x2 + xy2 and the planes z = 0, x = 0, x =…

A: The solid surface is enclosed by:- and the planes

Q: Find the first partial derivatives of the following function. 8u 5v + 7w F(u,v,w)= F₁ = Fu

A: given

Q: a. Find the arc length function for F(t). s(t) = b. Find the arc length parameterization for r(t).…

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Q: B Using the graph above, evaluate the following limit. lim f(x) 42- O PROF (A)1 (B) 2 (C) 3 (D) The…

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Q: 1 Perform the row operation R₁ and replace R₁ on the following matrix. 2 20016 0803 0056

A: The matrix

Q: 3. √ √x² + 2x dx

A: Given integral

Q: A company estimates that the daily revenue (in dollars) from the sale of x cookies is given by R(x)…

A: A company estimates that the daily revenue from the sale of x cookies is given by R(x) = 815 + 0.05x…

Q: 4. x-6 3 a) Determine the point of intersection of the two lines. b) Determine the acute angle…

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Q: Use the chain rule to find z = sin(8) dz дz and əs at r = st, 8 = s³ + ³

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Q: Find the value of c so that the function x² + cx if x 1 is continuous for all real numbers.

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Q: Southern Traditions sold the home decor division of their company 5 years ago and immediately…

A: Given:We are required to find:

Q: Find all the second-order partial derivatives of the following function. v=2yet²-6y W

A: