Find equations of the spheres with center (2, -3, 5) that touch the following planes. (a) xy-plane 25 (b) yz-plane 5 (c) xz-plane X X

Q: Write the given differential equation in the form L(y)- 90x), where L is a linear 4y"-15y4ys…

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Q: 9-x2 x dx

A: ∫9-x2x2dx=∫cot2udu=∫ -1+csc2udu=-∫ 1du+∫csc2udu=-u-cotuSubstitute back…

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: Find the equation of the tangent plane to the given surface at the specified point. z=xsin(x+y),…

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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: 4 n=n? + 2n 1 4. Σ -(x-3)"

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

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Q: Find the critical points of the following function. Use the Second Derivative Test to determine (if…

A: To find the critical points of the following function. By using the Second Derivative Test to…

Q: Find the gradient of the function In(x² − y) – 1, X Vz(2, 3) = Z at the given point. (2, 3)

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Q: Suppose that in solving an equation over the interval [0,360°), you reach the step sin 0= --- 2…

A: Solve the following

Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

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Q: 1) Solve the following ODES by Undetermined Coeff. ● 4X 11 X y - 16 y = 19.2 € + 60e, y(a) = y() -4X…

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Q: -2 -1 1+ 0 f'(x) 2 XY

A: the answer is given in step2

Q: lim x→−6+ e²x x +6

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Q: Prove that the graph of the function y = x² −3+1/x has at least two x-intercepts in (0,2).

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Q: Diminishing Returns Jesaki Inc estimates that it will sell N(x) units of product after spending $x…

A: We are asked to find the diminishing returns of the point.

Q: For a certain automobile, M(x) = - .015x² +1.32x-7.3, 30≤x≤ 60, represents the miles per gallon…

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Q: It is estimated that between the hours of noon and 7:00 PM, the speed of a highway traffic flowing…

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Q: Estimate the area under the graph of f(x)=1/(x+3) Over the interval (-2,1) using 8 approximating…

A: Given question:- Estimate the area under the graph of f(x)=1/(x+3) Over the interval (-2,1) using 8…

Q: Find the local and/or absolute maxima for the functions of the specified domain. Y= 1/(x-x^2) over…

A: Here we have to use the concept of derivatives. Here we use second derivatives test for finding…

Q: 3 y = (x² +1) ² Find day dx ²

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Q: To integrate by u-substitution, which part of the integrand should you choose as u? S cos de sin² x…

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Q: What is the gradient of f(x, y, z) = x³₂² + y³z +125z - 1 at P(5,5,-1) ? 75i + 75k -75i - 75k 75i -…

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Q: F(x, y, z) = -k At (-2,-2, -2) the vector is At (-2,-2, 2) the vector is At (-2, 2, -2) the vector…

A: Given vector field F(x,y,z)=-k Here k is constant

Q: A local club is arranging a charter flight to Hawaii. The cost of the trip is $543 each for 83…

A: We need to find no. of passengers and max. revenue.

Q: Identify any extrema of the function by recognizing its given form or its form after completing the…

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Q: Evaluate the definite integral: f (x · cos(2x)) dx. Enter the exact decimal value. A graph of y = x…

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Q: 4x + 12 lim 2 x 3 x²9

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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: How long it would take to double an invesment if the rate of interest is 10% compounded quarterly?

A: Follow the procedure given below.

Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

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Q: ct rit Find the x-value of all points where the function below has any relative extrema. Find the…

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Q: Solve the differential equation by variation of parameters. y" + y = csc(x) y(x) = c₁cos(x) +…

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

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Q: In Problems 11-14, find the first three nonzero terms in the power series expansion for the product…

A: given that      f(x) = sinx = ∑k=0∞-1k2k+1! x2k+1                          gx=cosx = ∑k=0∞-1k2k!…

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Q: tan12/1-tan^2 12 simplify

A: Simplify tan121-tan212

Q: Solve the equation for exact solutions in the interval [0°,360°). Use an algebraic method. (cot…

A: Solve the following

Q: y, 4e* In y, x = In (u cos v), y = u sin v; 4e* In (u, v) = (2, π/4) 7. z =

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Q: Find the equation of the level surface of the function g(x,y,z)=x^2+y^2+z^2-2x+4y-6z corresponding…

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Q: Find the domain of the function f(x) domain? = 1 √ x² + 1x 30 . What is the greatest value of a not…

A: The given function,  fx=1x2+x-30

Q: Assume that radium disintegrates/decomposes at a rate proportional to the amount present. If 100 mg…

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Q: 2 (D" +8D² +16) y = - sinx Ans: y=as2x+ C₂ Sin2x + C3 XC052 X + (4x sin2x-sinx

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Q: 3 y = (²x2 ²³-6)9 Find day doc2

A: Solve the given differentiation

Q: Diminishing Returns Jesaki Inc estimates that it will sell N(x) units of product after spending $x…

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Q: This question has several parts that must be completed sequentially. If you skip a part of the…

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Q: Write the expression as an algebraic expression in u, u>0. cos [tan-¹)]

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Q: 9w k=1 k² +2k*r 8k² +1 A. By the properties of 1. geometric series 2. p-Series 3. Divergence Test 4.…

A: Divergence Test: If limk→∞ak ≠ 0 then ∑k=1∞ak diverges.

Q: (a) Find x, y, z and B, where Tox 37 A = 1 -3 y A² = 1; C(4+1)+3B7 = 2A, and I: unit matrix ; 4 o…

A: Please re-state the subpart (b) properly.   To find the values of x, y, z and the matrix B=?