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Q: Find the gradient Vf and the directional derivative at the point P (1,–1,2) in the direction a = (2,...

A: The given function f(x, y, z) = x3z - yx2 + z2.The gradient of a function f is defined as∇f(x, y, z)...

Q: higher order non Homogeneous ordinary differential equations

A: The differential equation is D2-1y=2ex-e-x. The homogeneous solution is yh=c1+c2xex. By Variation of...

Q: Find two linearly independent power series solutions about the point x = 0. у" - ху' — у %3D0

A: Given the differential equation y''-xy'-y=0. Using power series solution method, find two linearly i...

Q: A continuous income stream has an annual rate of flow at time t given by 0.02t f(t) = 12,000e°. (dol...

A: Given data: ft=12,000e0.02t (dollars per year) r=4%=0.04t=6 years For given an interest rate r, the ...

Q: The gradient of the line 2y =4 - 3x  is?

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Q: My teacher doesn't teach very well, please help.

A: The objective here is to describe the transformation of f represented by g. For part 11: fx=x12;gx=3...

Q: Please, will upvote for correct solution!

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Q: (8 pages) A telephone pole is 24 feet tall. A support cable is attached to the top of the pole to ke...

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Q: Find the laplace of  f(t) = cos(root2)t + sin (3t)

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Q: Question 9. A circular helix in xyz-space has the following parametric equations, where 0 E R. 4 cos...

A: The given parametric equations are, x(θ)=4cosθy(θ)=4sinθz(θ)=3θ Given, arclength of the helix is L(θ...

Q: Advanced Math Question

A: The given statement is as follows. If a candy has 350 calories, then the candy is chocolate. From th...

Q: An electrical potential at a point (x,y) on the line segment extending from (0,3) to (2,0) is given ...

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Q: Consider the position function s(t) = - 4.91² + 30t + 19. Complete the following table with the appr...

A: The average velocity over a interval of time is given as follows. Vavg=sb-sab-ast is th eposition ve...

Q: Find b and c so that y = 4x2 + bx + c has vertex (– 3, 1).

A: Given: The equation of the parabola is y=-4x2+bx+c    ... 1 and vertex -3,1. Formula used: The stand...

Q: Given that F(2) = 6 and the F has inverse F-1, what is the value of F-(6)? (Circle the correct respo...

A: We know that F-1oF(x) = F-1(F(x)) = x put x=2 so that F-1(F(2)) = 2 given that F(2) = 6 so that F-1(...

Q: Get the area of the shaded region using definite integral.  Area of the Shaded region (Black): Area ...

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Q: This is a calculus 3 problem. Please explain each step clearly, no cursive writing.

A: We have a paraboloid , z=3x2+3y2 , z=3 . Taking x=rCosθ, y=rSinθ we get ,  z=3x2+y2=3rCosθ2+rSinθ2=3...

Q: A plane has an airspeed of 195 miles per hour and a heading of 22.0°. The ground speed of the plane ...

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Q: List in Cartesian (rectangular )coordinates all points (X, Y )where the following curves intersect. ...

A: Given 2 curves: r=8sinθ and r=8sin2θ Equating both the above equations:                          8si...

Q: Solve the following separable differential equation: dy xy y(0) = 4. dx 1+ x2 '

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Q: The polynomial of degree 4, P(x), has a root of multiplicity 2 at z = 2 and roots of multiplicity 1 ...

A: From the roots of the polynomial P(x), find the factors to determine the equation of the polynomial....

Q: Find the characteristic equation of the given symmetric matrix, and then by inspection determine the...

A: Given matrix is A=633363336 First we will find the characteristic equation of the given matrix A=633...

Q: 5

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Q: A manufacturing company makes two types of water​ skis, a trick ski and a slalom ski. The relevant m...

A: Let, x=Number of trick ski produced. y=Number of slalom skis produced. Maximize Profit(Objective Fun...

Q: Use the graph below to answer the question. Which statements about line n are ture? Select all that ...

A: To obtain the slope of the line, find the ratio of change in y to the corresponding change in x. To ...

Q: Solve the following problems (using solution by sine law/cosine law): 1. Two surveyors, Alice and Bo...

A: Let CD is the steep cliff and let A be the position of Bob and B be the position of Alice. Distance ...

Q: In a class of 25 statistics​ students, 7 of the 25 are graduate students. If four students are being...

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Q: Using the Euclidean algorithm find integers s and t satisfying that gcd (190, 34) = s(190) + t(34)

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Q: I need help with #19, the points of the graph and which way would be shaded.

A: 19. The given linear programming problem is as follows. Minimize C=8x+9y Subject to 5x+6y≥60 x, y≥0 ...

Q: Hi there, I would love it if you could help me in this question. The picture is attached.

A: Hey since you have sent multiple parts we cant answer all of them because of our company policies. I...

Q: 8

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Q: Solve the following integro differential equations using the Laplace transform of integrals and deri...

A: Given integro differential equation: y't+∫0tt-vyvdv=t, y0=0 Taking Laplace transform on both sides w...

Q: 3. a) Find all values of z that satisfy the equation i? =1+i. b) Find all values of z where the func...

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Q: Please answer what k= for A-H

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Q: on their most recent 8-mile training run, Pepe averaged a speed of 1/2 of a mile in 4.5 minutes, whi...

A: Given- most recent 8-mile training run, Pepe averaged a speed of 1/2 of a mile in 4.5 minutes, while...

Q: A ballroom is full of people (say more than 200). What is the least number of people that you must s...

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Q: 3. Find the gradient Vf and the directional derivative at the point P (1,–1,2) in the direction a = ...

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Q: Find the Nork do ne against (x,Z)ih muving a particle 11 along the curve parametrized

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Q: Write a logistic equation with the following parameter values. Then solve the initial value problem ...

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Q: if f(x) = (3x + 2)/5 then f-1(x) = Select one: a. (5x - 2)/3 b. (5x + 2)/3 c. none of the ...

A: Step:-1 Given that f(x)=3x+25  Take  f(x)=y y=3x+25⇒5y=3x+2⇒5y-2=3x⇒5y-23=x⇒x=5y-23 then  f-1(y)=5y-...

Q: find a formula for this sequence: {-2/25, 7/125, -12/625, 17/3125}

A: Look at newmorator and denominator we can easily get the answer.

Q: Given the following differential equation dP 5 — Р dt It is given that P equals 1 at time t = 0, so ...

A: Given differentiation equation is separable. We separate them then apply integration.

Q: Let f: R* N+ with f(x) = [x²1; that is, f(x) returns the square of x rounded up. Characterize f in t...

A: Let the function f:ℝ+→ℕ+ be defined by fx=x2. Check whether the function is injective, surjective or...

Q: pls solve in less than 30 min.

A: The given differential equation is a homogenous differential equation .   We have , D2-3D+2y=0 We fi...

Q: 4

A: The integral is ∮C1-y3dx+x3+ey2dy where C is the boundary of the region between the circles x2+y2=4 ...

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.