akes the following function continuous on (-∞, ∞).

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: At which of the following x-values does the function shown below have negative slope? Select all…

A: Given: From the above figure, we need to find x-values where the function has a negative slope. We…

Q: Solve 4 sin x = 1.35,3.65 x = 3 for the four smallest positive solutions Give your answers accurate…

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Q: - The complementary function is १ex . Ус where C₁, C₂, C3, C4 си the particular Solution se = c₁ex +…

A: This is a problem of ODE. Please follow the procedure given below.

Q: Module A car dealership increased the price of a certain car by 4%. The original price was $44,400.…

A: As per given question  We have to determine new price of car

Q: Evaluate lim 74 x →0 COS 218

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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Q: 14-13-12-11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 Find an equation for the graph above. 4+h(t) 27 2 1 2 -2-…

A: The given graph is:   Consider the function is: y=AsinBx-C+D From the given graph, the maximum…

Q: Evaluate the line integral y = x² from (-1, 1) to (1, 1) and the line segment from (1, 1) to (−1,…

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Q: 106) Iff"(x) and (c,f(c)) is the point lying on the curve for which F(c) is maximum, then f'(c) is…

A: If f''x<0 ∀ x∈a,b and c is a point such that a<c<b, and c,fc is the point lying on the…

Q: 2ss" + (s')² = 0

A: we will solve the differential equation.

Q: Write an equation for the function graphed below 13- 12- 1 - 5+ ++ -7 -6 -5 -4 -3 -2 -2 1-1 HE A 1 2…

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Q: Solve the initial value problem by Laplace y" +4y=20 e y(0)=3, y'(0) - 12

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Q: The dose-response curve for x grams of a drug is f(x) = 8(x − 1)³ + 8 for x ≥ 0. (a) Make sign…

A: The solution is given below

Q: Find the sum of the areas of the shaded rectangles under the graph. Round to two decimal places.…

A: topic- Area of shaded region Area of rectangle =Length*width

Q: Find the gradient of the function at the given point. Function f(x, y) = x² Point (4,4) Vf(4,4) = x²…

A: In this question we have to find the gradient of the function. Note: As per our policy we can solve…

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: X: 1 2 Y: 2 4 3456 7 9 12 14 What is the correlation coefficient for variables x and y? a..950 b.…

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Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

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Q: Find f(x+h)-f(x)/h for the given function . f(x)=x2+8x

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Q: 3. From a thin piece of cardboard 14 in by 14 in, square corners are cut out so that the sides can…

A: This question can be solved using the concept of maxima and minima.

Q: ƒx(2x−1) dx 2 √x³√x²+4 dx

A: for (1),     ∫ x2x-17dx=∫ 128x8-448x7+672x6-560x5+280x4-84x3+14x2-xdx=∫ 128x8dx-∫ 448x7dx+∫…

Q: Kindly answer this as soon as possible -Divide 20 into two parts, such that the sum of four times…

A: Use result - Function attain it's minima where derivative of the function is zero

Q: What will go wrong if we choose u = x²? Notice: in that case, we will also be choosing du = ln x dx.

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Write the expression in algebraic form. [Hint: Sketch a right triangle, as demonstrated In Example…

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Q: Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by L(x,y)=…

A: Given :Lx,y=32x2+y2-3x-6y-2xy+101

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: Determine the amount of material in grams that will be left after 55 days. The inital amount of…

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Q: 2 Solve the following ODES by Inverse Operator method. 1.2 y - 2y +y = e sinx "LI X Xx Ans:…

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Q: Match the solution curve with one of the differential equations. f Ala Oy"+y=0 y" - 4y' - Sy=0 Oy" +…

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Q: h tin tly Suppose that the graph below is the graph of f'(x), the derivative of a function f(x).…

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Q: The length of a rectangle is three times its width. If the area of the rectangle is 108 yd², find…

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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: a. b. algal dy dx dy dx + y = xy³ - y = ex y² -X

A: See this solution in below.

Q: Find an equation of the tangent plane to the surface at the given point. (2,0,0) g(x, y) = arctan…

A: Answer and explanation is given below...

Q: Graph f, locate all points of discontinuity, and discuss the behavior of f at these points. -1+x if…

A: In this question we have to find which graph is best for the given function.

Q: Find equations of the spheres with center (2, -3, 5) that touch the following planes. (a) xy-plane…

A: As per our norms we have to write one question at a time kindly repost remaining questions.

Q: Given that log a ( 2 ) = m and log a ( 3 ) = n , write exact expressions in terms of m and/or n for…

A: Write expression in terms of m and n for each of the following.

Q: Find the gradient of the function at the given point. f(x, y) = 4x + 2y² + 4, (1, 2) Vf(1, 2) =

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Q: Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the…

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Q: I = √x f(x, y) dy dx-

A: ∫01∫0xf(x,y)dydx

Q: Find a possible formula for the trigonometric function whose values are in the following table. y =…

A: topic- trigonometric function

Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = x² + y² + z² (8,…

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Q: Determine csc(x) + cot (x) if tan x + sec(x) = 22/7. 27/12; 29/15; 24/18; 23/11

A: We can answer the question by finding the correct option as below.

Q: What is the original price of P1,743,759 discounted price at 22% discount?  (whole number)

A: discounted price = 1,743,759  discount rate = 22%  find original price = ?  this discounted price is…

Q: y(2xy +1) dx + x (1 +2xy - x³y³) dy = 0

A: See this solution in below

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: Use sigma notation to write the sum. 7 [›( ² ) + ²] + [²( ² ) + ²] + ... + [>( ² ) + ²] X 7j 214 Σ j…

A: Given the sum is 714+2 + 724+2 + … + 784+2

Q: Question 25 Use the slopes of tangents to determine whether the function f(x) = -6x² + 36x is…

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Q: A population of rabbits oscillates 29 above and below an average of 75 during the year, hitting the…

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