Find the point of intersection of the line through (1, -3, 1) and (3, -12, 6), and the plane given by x – y + z = (х, у, 2) %3D

Q: Find the area of the region bounded above by y = 6x - x2 and below by y = 2x. AY 10- 8 6 4 2- X -10-...

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Q: A cardboard box without a lid is to have a volume of 32,000 cubic centimeters. Find the dimensions t...

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Q: Find the centroid of the region bounded by the curves: x + 2y = 6 x = 0 y=0 %3D A = 3 sq. units; Cen...

A: Solution :x+2y=6y=6-x2,  x=0, y=0

Q: The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x = 2 and...

A: topic - polynomials

Q: E Q4) Evaluate cach of the following: 1- Prove lim sin3xcot5x X-0 xcot4x 2- Find dx Zx+3/ 3- Find (V...

A: Questiion 1,Given,            limx→0sin3xcot5xxcot4x=125To find : To prove the limit.

Q: Consider f(x)=tanx a. Find the linear approximation of f(x) at a=pi/4 b. Use this to estimate tan(...

A: This question can be solved using the formula of linear approximation.

Q: K-State hires a landscape architect to build a garden on campus. The rectangular garden is to be enc...

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Q: Q3)A/ Find the cquations of all lines having slope-1 that are tangent to the curve y = 03)B/ Find th...

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Q: Find the area of the region bounded by the graphs of the equations: f (x) = V5x – 10 g(x) = 2x – 4

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Q: -3 sec-(VI) y = 4"(log, r)sech z

A: Given y=-3sec-1x4xlog2xsechx To find dydx

Q: dy Show that the analytical solution for this problem = 4 e081 - 0.5 y) dt (e0.81 - el-0.5 t) +2 e-0...

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Q: Use the rules of differentiation to find the derivative of the function. g(t) = g'(t) =

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Q: Find the centroid of the region bounded by the curves: x = 2y – y? and the y-axis A = sq. units; Cen...

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Q: dz az %3D Jsing separation of variables method, solve "+ = (x+ y)z ду

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Q: 45. s 2 2 sin t -

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Q: Finding the Area of a Region In Exercises 43-48, sketch the region bounded by the graphs of the func...

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Q: Find what value of c does dx = 1?

A: Given ∫5∞cx3dx = 1we know that ∫xn dx = xn+1n+1+C

Q: Find the sum by adding each term together. Use the summation capabilities of a graphing utility to v...

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Q: 6- The Conjugate of 4+3i =-(4+3i)

A: The objective is to find the conjugate of (4+3i).

Q: 2. * S cos³y sin'y dy cos 2y cos 2y + C 48 cos 2y cos 2y 16 16 48 cos 2y + c 48 cos 2y cos 2y + c 48...

A: For the solution follow the next step.

Q: Sketch a graph of the equation. x + 2y + 16 = 0 10 4 石54324 45 6 789 車 No Solution -7

A: Topic:- geometry  In your answer x  intercept is not correct.  

Q: Consider the parallelepiped with adjacent edges u = 7i + 4j + k v = i+j+9k w =i+8j + 8k Find the vol...

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Q: 1. log4x =-2 3. log3x + log;9 = 1 4. logzx + logz(x – 6) = 4 %3D 2. 4 + 3 log x = 10

A: Topic:- Algebra

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: Finding the Area of a Region In Exercises 15-30, sketch the region bounded by the graphs of the equa...

A: Let's find. 

Q: a) Which of the following is the correct definition for the nth Taylor Polynomial for the function f...

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Q: Evaluate the following a. 2/(1 + j4)

A: As per the guidelines  we can answer only one question.  If you want to get the answers of your othe...

Q: f(#n) f'(In) For the function f(x) = r+x - 4, write Newton's formula as In 11 = F(Tn) In for solving...

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Q: 4. Find the volume of the solid obtained by rotating the region bounded by y = e", y = 0, x = -1, x ...

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Q: Suppose w=X®y7 + xy +z +3 and x=3 cos t 3= 2t. then y =3 sin t, dw M bridod eu m d brwod seg ud.

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Q: a) Oppositely directed to v = : (15, –8) and half the length of v. w = (?, ?)

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Q: If f(x) = f(t) dt +5x, and f(0) = 0, what is f(2)? Select one: a. e? - 5 O b. 5e? – 5 О с. 5е-5 O d....

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of Inflect...

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Q: Find the vector component of v = (4, – 1, 7) along b = (4, 8, –8) and the vector component of v orth...

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Q: Find the vector component of v = (4, – 1, 7) along b = (4, 8, –8) and the vector component of v orth...

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

Q: Express your answer in rectangular form both in EXACT value and approximate value. Round off approxi...

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Q: III. Find dy using implicit differentiation. d.r sec"(ry) = (cosh r)(tanh z+v5) + 2 csc-' (tan(y+ 1)...

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: Evaluate the integral f cos x(1 – sin æ)-1/² dx. O In(1 – sin z) + C O In (sin z) + C O In (cos z) +...

A: To evaluate: I=∫(1-sin x)-12dx=∫(1-sin x)-12cos x dx

Q: years is approximated by dh/dt = 1.7t + 5, where t is the time in years and h is the height in centi...

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Q: Read Theorem 6.2 in the textbooke. Suppose that E cn an is a power series with interval of convergen...

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Q: logzx = 3 – log,2x 7. In(x + 2) + In x = In(x+ 12) Pgol+x0ol 6. log 3x + log 2x = log 150 %3D 8. 15(...

A: As per the company's guidelines, we are supposed to solve the first three sub-parts for you, kindly ...

Q: use mathematical induction to prove the formula for all integers n ≥ 1. 1+6+11+16+•••+(5n-4) = n/2(5...

A: Solution is written in below steps.

Q: Consider the differential equation dy = y +t. dt Given that the general solution to the DE is y(t) =...

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Q: Find the cost function for the given marginal cost and fixed cost. Marginal Cost Fixed Cost (x = 0) ...

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Q: Find the centroid of the region bounded by y^2 =4ax, y=mx about y-axis.

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Q: A model for the velocity v of a skydiver is 4 = 9 – v². Then the value lim v(t) is__ 1 Enter the cor...

A: The given differential equation can be solved by using the variable separable method.

Q: Consider the following planes. -5x + y + z = 5 15x - 3y + 5z = 25 (a) Find the angle between the two...

A: Let's find. 

Q: S tan36x sec106x dx

A: I=∫tan36xsec106xdx=∫tan26xtan6xsec106xdx=∫sec26x-1tan6xsec106xdxLet sec6x=u       6tan6xsec6xdx=duI=...

Q: Find the slope of the graph of the function at the given point. F(x) = 4x5 + 5x - sin(x), (0, 0) f'(...

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Q: 2. Let C be the graph of the equation In(3y – 2e*) = sinh“(Tx) – tan(y – 1) dy (a) Find dx (b) Find ...

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