Precalculus You have 5% and 20% but need to create 10% solution of 1,000 miligrams . How many amounts of each is needed .

Q: 4.7 Show that does not exist. lim (x-2)(y-1) (x, y) → (2, 1)(x - 2)² + (y − 1)² -

A: In this question we have to show that limit does not exist.

Q: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v,…

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Q: Evaluate the function for the given value of x. r(x)=3x, p(x)=x2+6x,(p-r)(x)

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Q: Use the trapezoidal rule with four subintervals to estimate the following integral: 50.8 x³ dx

A: The given integral ∫00.8x3dx

Q: Complete parts a through f below to find nonnegative numbers x and y that satisfy the given…

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Q: Write the given differential equation in the form L(y) = g(x), where L is a linear differential…

A: given differential equation 5y''-24y'-5y=6

Q: Use spherical coordinates to evaluate the triple integral [[[ 2² + 3² + 2²dV, where E is the ball:…

A: We will first change it into spherical coordinate and then solve it.

Q: If cos x = 5/11 and the terminal point of x is in Quadrant IV, what is sin x

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Q: Find the solution of the given initial value problem: y (4) + 2y"+y = 3t+6; y(0) = y'(0) = 0, y" (0)…

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Q: (a) Find an equation of the tangent plane to the surface at the given point. x+y+z= 12, (4, 3, 5)…

A: Our Aim is to find :-(a) An equation of the tangent plane to the surface at the given point.Here…

Q: Problem 2.5 Evaluate lim x →0+ 1 (-/-)

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Q: Without using a calculator, evaluate, if possible, the following expression. 4π 3 sin sin ...

A: We will find the value.

Q: Find the area of the region bounded by the graph of f and the​ x-axis on the given interval.…

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Q: Solve the differential equation by variation of parameters. 1 8 + ex y" + 3y' + 2y = Step 1 We are…

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Q: A bank offers a 12% interest to be compounded annually. How much should a teacher deposit now if he…

A: A bank offers a 12% interest to be compounded annually. The teacher wants to receive Php. 15000 at…

Q: 4. A tank contains initially 400 liters of brine holding 100 kg of salt in solution. Water…

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Q: Problem 2.11 For what values of x is f continuous? f(x) = { 0 if x is rational x if x is irrational.

A: We have to check the continuity of the function.  For continuity, left hand limit = right hand limit…

Q: Write the given differential equation in the form L(y) = g(x), where L is a linear differential…

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Q: Tutorial Exercise You are given the dollar value of a product in 2016 and the rate at which the…

A: topic- linear equations

Q: Find an equation of the plane with the given characteristics. The plane contains the y-axis and…

A: Topic = Coordinate geometry

Q: Determine whether the planes are parallel, orthogonal, or neither. 3x 15y 3z = 3 3x 15y 3z = -4 - -…

A: The given planes are 3x-15y-3z=3 and 3x-15y-3z=-4

Q: If r(t) = cos(-4t)i + sin(-4t)j + Ok compute r'(t)= i+ j+ k k+ C and fr(t) dt=i+ with C a constant…

A: Given: rt=cos-4ti+sin-4tj+0k   As we know that; The Chain Rule: fgx'=f'gx·g'x   And the common…

Q: me Determine the equation of t e 00 te tragen ܘܪܐܐܝ tangent line to y 3- 22+1 at 2:

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Q: Find an equation of the line tangent to the following curve at the point (a,f(a)). f(x) = 8 ex + 5x;…

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Q: 4. Solve y 3x 3y + 2y" e using undetermined coefficient. Show all the work.

A: We need to solve D.E.

Q: Find the TOTAL SOLUTION of the following Differential Equations: 1. 3 dy. dy +3 dt³ 2 dt² - 4 = 5t²…

A: Given the differential equation is d3ydt3 + 3d2ydt2 - 4 = 5t2 + 4

Q: Let f(x, y, z)= = fz(x, y, z)= fy(x, y, z)= fz(x, y, z)= 2² - 2y² I y² + 4z² Then

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Q: 1. If Amy can type 25 words in 2 minutes, how many words can she type in 9 minutes? (SET UP…

A: If Amy can type 25 words in 2 minutes,how many words can she type in 9 minutes? (SET UP PROPORTION…

Q: Find the extreme values of the function and where they occur. 7x X + 1 y= 2 OA. The minimum value is…

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Q: Complete the missing ones: (those highlighted ones) Integrate: 2x [cscs (²) dx SC 3 [csc (3) dx =…

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Q: Solve the given differential equation by undetermined coefficients y" - 8y' + 16y= 12x + 6 y(x) =

A: Given:         y'' - 8y' +16y = 12x+6

Q: We want to find functions u₁(x) and u₂(x) such that yp = U₁Y₁+U₂Y₂ is a particular solution. We can…

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Q: 4. A tank with a volume of 1800 gallons originally contains 1200 gallons of fresh water. The first…

A: Follow the procedure given below.

Q: 3. A science project studying catapults sent a projectile into the air with an initial velocity of…

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Q: thats a natural log of 9 to 0 and integral from 9 to e^x

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Q: Consider a pool shaped like the bottom half of a sphere, being filled at a rate of 25ft^3/min.the…

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Q: 2. Set up, but do not evaluate, the integral which gives the volume when the region bounded by the…

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Q: a. Verify that the function y = cos x - sinx + x² - 2 is a solution of the given differential…

A: As per the rules we are supposed to answer the first question and rest can be reposted.

Q: Cut out squares (of the same size) from the four corners of a square cardboard of given side length…

A: The side of the square = L  let the length of the square = x,

Q: 1. (Use a calculator) Write down the equation used to evaluate the following expressions, and then…

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Q: Verify that the two planes are parallel. -x + 6y + 2z = 3 1 - x + 3y + z = 4 -½-X 2 Find the normal…

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Q: Compute the gradient vector fields of the following functions: A. f(x, y) = 1x² +10y² Vf(x, y) =i+ j…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: 1. Find the orthogonal trajectory for the family of circles with center at (-2,3) and draw the…

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Q: Suppose that the graph below is the graph of f '(x), the derivative of f(x). Find the open intervals…

A: To find the inflection point.

Q: y= 2x³-27 3x4 - 2x Find dy da

A: Given: y=2x5-x33x4-2xTo Find: To find dydx.

Q: Find the indefinite integral. (1+3 Inx)11 X -dx

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Q: 3. Find the equation of the tangent to the curve 3xy-y²= 7 at the point (.1).

A: Follow the procedure given below.

Q: Σ (5tan (k+1)-Stan 'k) K=1 • Sn= a. Stan '(n+1)-Stan-'1 b. Stan'n-Stan"" c. tan'(n+1) - tan¹2 d.…

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Q: Use cylindrical coordinates to evaluate the triple integral □ لاا √² + y²dV, where E is the solid…

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Q: Find the Laplace Transform of f(t) = sin2tcost (A) B 2 s+55² +4 2 E s² +3 s+10s² +9. +(57+55²+4) Ⓒ4…

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