Find f if f"(x)= e-sin z - 3 4√ f'(0) = 0, and f(0) = 8.

Q: 10. rectangular box with a square base and open top must have a volume of 4 m³. Find the dimensions…

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Q: Find the limit of the following sequence or determine that the limit does not exist. {n sin()}

A: Solve the following

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: Find the directional derivative of the function at P in the direction of v. 1 = √₂ (i+j) f(x, y) =…

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Q: Evaluate the following integral: dx -27 x2/3

A: Solve 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: Find the inverse function and graph both f(x) and f(x) on the same set of axes. Check your work by…

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Q: 2 (D² +8D³² +16) y = - sinx Ans: Y = C₁ cus2x+ C₂ Sin2x + C3 Xcos2x + C4 X sinex-_-_sing

A: Solution of given question is written in below steps.

Q: a B sin(A) = cos (A) = Note: Triangle may not be drawn to scale. Suppose a = 9 and b = 2. Find an…

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Q: Match the differential equations and the description/s that is/ are true to the differential…

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Q: Evaluate the function at the given values of the Independent variable. Simplify the results. g(x) =…

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Q: A circular plate is submerged in a water of weight density (pg) 9810 N/m³. If the total force on the…

A: the answer is given in step2

Q: or m tid 4x x² + 1 The percent of concentration of a certain drug in the bloodstream x hours after…

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Q: 2. Find lim (√x + 2 = √2).

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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: he base of a solid in the xy-plane is the first-quadrant region bounded y = x and y = x². Cross…

A: To find the volume.

Q: Write an equation for the function graphed below 5+ 4 3 2 1 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 y = -5+ 1…

A: topic- graph of a function

Q: sina+sinatan² dx a sinx 2. ·S

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Q: all company of science writers found that its rate of profit (in thousands of dollars) after t years…

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Q: Solve the given differential equation by undetermined coefficients. y" + 7y' + 6y = 18 y(x) = || X…

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Q: The graph below is the function f(x) t lim →-3 lim I-3+ lim 5+ 4 → 3 N WA -3 -2 -1 -1 3 2 Find the…

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Q: Evaluate using integration by parts: fx sec-¹x dx

A: SOLUTION-

Q: Find the gradient of the function at the given poin In(x² - y) -2, (3,8) X Vz(3, 8) = Z =

A: We are asked to find the gradient of the function.

Q: G 2. x²y" + 3y' - xy = 0

A: We need to determine singular points of D.E.

Q: - (D² +8D³² +16) y = _ sinx Ans: Y=as2x+ C₂ Sin2x + C3 Xcos2x + (4x sin2x - 1 9

A: The solution is given below

Q: Estimate the minimum number of subintervals needed to approximate the following integral an error…

A: The solution is given below

Q: cook Use the power series f(x) = In (1-x) = - Σ for -15 x <1, to find the power series…

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Q: Solve the following ODES by Undetermined Coef D Ş 17 4X y - 16 y = 19.2 e + 60e, y(a) =ý (os. 4X -4X…

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Q: The father has just donated $25,000 to a church. His son would like to donate an equivalent amount,…

A: Given;  Principal =$ 25000 Time = 5 years  Rate = 8.2%.

Q: Given the function f(x, y) = e5-2x+3y, approximate f(4.1, 0.9) using point (4,1) for (xo, yo). What…

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Q: What is the difference between Rolle's Theorem and The Mean Value Theorem? Explain

A: See the details solution in below

Q: Find aw/as and aw/at using the appropriate Chain Rule. Function Values w = sin(2x + 3y) x = s+t,…

A: We can answer both the answer as below.

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: 4. Condense the log to a single log expression. a. 2 log y - 3 log x - 2 log 10 b. Ina+3 ln y

A: See this solution in below

Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

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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: The profit from the sale of x units of radiators for automobiles and y units of radiators for…

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Q: Write an equation for the function f(x) shown. The leading coefficient is 1.  Asymptotes: y=-1 x=…

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Q: Sketch the vector field F. (Select Update Graph to see your response plotted on the screen. Select…

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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: Estimate the minimum number of subintervals needed to approximate the following integral with an…

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Q: For Luce landscaping, the total revenue and the total cost of yard maintenance of x homes are given…

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Q: Evaluate the following expressions. Your answer must be an exact angle in radians and in the…

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Q: 1 Q BAS 6 2 [//dx Which of the following is the integrand in the definite integral above? Select the…

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Q: Evaluate the following integral and express in exact form: cos(x/2) sin(x/2) dx

A: SOLUTION-

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: Evaluate the limits. If a limit does not exist, enter "DNE". You may use a GRAPH on Desmos or plot…

A: Here we have to use the concept of limit

Q: Evaluate lim x-2 6-x-2 /3-x-1

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Q: QUESTION 1 P 0 0 9 0 00r Show that 0 Hence, determine the inverse of the following matrices: 100 i.…

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Q: Using Desmos or other graphing software, sketch the graph of y = sin (2x). a. Using the tangents,…

A: Y=sin(2x)