PRACTICE ANOTHER   Use the information to evaluate and compare Δy and dy. (Round your answers to four decimal places.) y = x4 + 3      x = −5      Δx = dx = 0.01   Δy =   dy =

Q: At 0° Celsius, the heat loss H (in kilocalories per square meter per hour) from a person's body can…

A: The Heat Loss H from a person's body is given by the function: H=3310v-v+10.45

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Q: Specify if it is exact or non-exact. Find the general solution. (y^2-2xy+6y) dx - (x^2 -2xy +2) dy…

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Q: Evaluate using integration by parts. 1 5x e 8K dx 1 5x e 8x dx = (Simplify your answer. Type an…

A: Explanation: Given that,  ∫015xe8xdx   Now we will take the constant out  5∫01xe8xdx Now substitute…

Q: At 0° Celsius, the heat loss H (in kilocalories per square meter per hour) from a person's body can…

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Q: e- e Differentiate y e*+ e+ 4. O a. (ez+e =)² 4 Ob. (e2z -e =)* O c. (2ez +e #)² O d. (4ez +e 2z

A: y=ex-e-xex+e-xy=ex-1exex+1exy=e2x-1e2x+1

Q: Simplify your answer. HINT [See Examples 1 and 2.] y = 5x+7/6x-1

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Q: Consider the equation, test whether it is exact and solve the IVP.        x(x-y)dy = y(y-3x)dx…

A: Solution:  Step I:    xx-y dy =yy-3xdx     y-1=1 Now,    xx-y dy=yy-3x  dx    dydx=yy-3xxx-y  Let…

Q: The rate of increase of the number of married couples M (in thousands) in a country from 1970 to…

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Q: Evaluate 1.) S (7 + + ) dx 2

A: NOTE*** As per bartleby guidelines for more than one question asked only first to be answered, send…

Q: A spherical balloon is inflated with gas at a rate of 500 cubic centimeters per minute. (a) Find the…

A: Given a spherical balloon is inflated with gas at the rate of 500 cubic centimeters per minute. That…

Q: Evaluate y1+xydy dx. Hint: Change the order of in- tegration.

A: ∫01∫01y1+xydxdy=∫01231+y32-23dy=282-215-23

Q: dy - 3, what is the value of dx Suppose x and y are functions of a third variable t. If 2sin(x) +…

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Q: Use the information to find and compare Δy and dy. (Round your answers to four decimal places.) y =…

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Q: How To Solve It? Which Method? dy/dx-dx/dy= x/y- y/x

A: ∫(1/y) dy  =log y +c ∫ (1/x)dx = log x +c  ∫  ydy  =(y2)/2   +c  ∫ xdx   = (x2)/2   +c log(a)+log (b…

Q: Calculate  dy dx.  Simplify your answer. HINT [See Examples 1 and 2.] y = |x|/x8 dy/dx =

A: Given:

Q: Tutorial Exercise Find dy/dx at the given point for the equation. x = y3 - 7y2 + 2, (-4, 1) Step 1…

A: We have to find derivative

Q: Integrating Factor by Inspection a.) y(x²−y² + 1)dx− x(x²−y²−1)dy= 0 Give the solution if the…

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Q: QI/ Find G.S for following D.E (4x- 2y+2) dx -(2x-4y+2) dy 0 12

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Q: Question Calculate dx for w = ze(3²+2:). Do not include " de =" in your answer.

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Q: Ax. (Round your answers to three decimal places.) Compute Ay and dy for the given values of x and dx…

A: Given,

Q: An integrating factor for the equation - y =e¯x/3 is dx 8. a. e-* d. 11/8 b. e e. There is no…

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Q: e Question 1 Evaluate dx. 4 + e6x Question 2 Evaluate ?V3x +2 dax. x3 dx. x + 3 Question 3 Evaluate

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Q: answer the question. The concentration C of a drug in a patient's bloodstream t hours after…

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Q: Find dy/dx by implicit differentiation. x3 + x2y + 7y2 = 4 %3D y' = %3D

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Q: Q3. Find an equat ion of the line passing throngh the point (1.2) and perpendicular to the lne 3

A: Here we are to find the equation of a line which passes through the point (1,2) and which is…

Q: Solve this completely to answer several questions. 4y Consider the equation: + = x. dx What is the…

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Q: The heat index I is a measure of how hot it feels when the relative humidity is H (as a percentage)…

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Q: dy dx xy*y(1) = 1 3x

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Q: r1/2 (1- 2x) dx + J1/2 1-2x dx= 2x) dx = Submit Skip (you cannot come back) Type here to search hp

A: We have to solve

Q: sing the solution of Homogenous DE, the particular solution of th x² +2xy )dx +(x² +y´ )dy = 0 when…

A: Differential equation given is- (x2+2xy)dx+(x2+y2)dy=0⇒dydx=-(x2+2xy)(x2+y2)We will solve it by…

Q: Based on the data shown below a statistician calculates a liner model Y= -0.92x +21.65 Use the…

A: We have given that,  The mode Y= -0.92X + 21.65 Then,  We will find the y-estimates when x= 1 , x=…

Q: Complete the table by stating whether the equation is ordinary, partial and linear and non-linear.…

A: The given differential equation is;. t2s"+ts'=4-3sint.

Q: Simplify your answer. HINT [See Examples 1 and 2.] y = 3x+9/7x-1

A: Answer and explanation is given below...

Q: 2. Integrating factor by inspection: Solve the equation: (y – xy²) dx + (x + x?y²) dy = 0 O = In y –…

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Q: How do you solve.  The question is... Assuming x and y are functions of t.  What is dy/dx for each?…

A: Given information:The given function is 2xy – 5x + 3y3 = –51.Both x and y are functions are t.The…

Q: *=and y(e) = -2 Find y(e³) dx

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Q: A Moving to another question will save this response. Question 8 Find the value of dzy/dx² at the…

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Q: Find all antiderivatives for dP = 24 - 4x. dx P(x) + C.

A: The given equation is dPdx=24-4x.

Q: Explain for which values of a the function a* is increasing and for which values it is decreasing.…

A: Given derivative of ax is ax(lna) Now note that lna >0 when a>1  And ln a<0 when…

Q: ion corresponding t + bx) e³× is given by en (a - b) is

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Q: Evaluate (x+y-4z) dV where E = {(x, y, 2) | - 6< y S 0,0 < æ < y, 0 < z < x + y²} . Round your…

A: We need to evaluate ∫∫∫E(x+y-4z)dV where E={(x,y,z) | -6≤y≤0 , 0≤x≤y , 0≤z≤x+y2}

Q: Using Integrating Factor by Inspection, solve: (y − xy²) dx + (x + x²y²) dy = 0

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Q: ....... Write the general antiderivative. (Use C for the constant of integration.) p(t) = 1.9e0.03t…

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Q: Evaluate dy if y = (2x + 1)3/4, x = 1, and dx = 0.03. What quantity does this answer represent

A: Given  y = (2x + 1)3/4,  x=1 and dx = 0.03  We have to find dy

Q: IMPLICIT FUNCTIONS, CHAIN RULE AND HIGHER DERIVATIVES y = 2z2 – 3z + 5 Given x = 413 +t dy ,…

A: For finding the derivative dydx apply the chain rule for this and evaluate dydx dydx can be written…

Q: Calculate dy dx. Simplify your answer. HINT [See Examples 1 and 2.] y =  3x − 9 2x + 8

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Q: Substitute y=y1+z  and dy/dx=dy1/dx + dz/dx into  dy/dx = P(x)+Q(x)y+R(x)y2 to get a Bernoulli…

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