Given the graph of f(x) below, what is the value of c such that lim, se (z) - f(c)? O b. 1 OC -5 Od -3

Q: Find lim x→∞ h(x), if it exists. f(x) = 9x2 + 2x + 7   (a)     h(x) =  f(x) x lim x→∞ h(x) =

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

Q: Study the figure below and give the value of x and y", If the least squares equation is y= 18.9476+1...

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Q: the improper integral dx convergent or divergent? If it converges, find out to what it converges.

A: Given query is to find the value of the integral.

Q: Consider the integral arctan(x)dx where -Is. a<bs I. Making the substitution u=-2x , determine the d...

A: We have to find new function and upper bound

Q: f(x) = 5. (a). Use f'(x) = lim (e+h)-/@) to find f'(x). %3D %3D T+3 h→0 (b). Find an equation of the...

A: Given query is to find the derivative using definition and the equation of tangent at x =2.

Q: Let the graph below be the graph of one wavelength (period) of f. Then f(z) =. 2- -2- 27 O2 cos 67 2...

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Q: Find the derivative of the function. f(t) = = 3(t7 - 2)5 Step 1 Recall that the derivative of a cons...

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Q: 5. Find the eigenvalues and their corresponding eigenvectors for the following matrices: 4 00 (::) 4...

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Q: $6. Determine the complementary function for the given DE.

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Q: Use the table below to find dx [f(x) + g(x)] |x=3 1 2 4 f'(x) g'(x) 4 1 5 3 1 4 2 d [f(x) + g(x)] (T...

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Q: 13. Find the solution set of e) 2x? – 3x – 4|<5

A: Given query is to find the solution of the expression.

Q: Find the unit vector having the same direction as v = (1, - 3). %3D 1 3. V 10 V10 10 V10, 3. O (1, 1...

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Q: Determine general antiderivatives for each of the following functions (use capital C as the integrat...

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Q: 5. fx6Vex' dx

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Q: Solve the exact differential equation. If the given is not exact, determine the integrating factor t...

A: We have to find complete solution of differenrial equation

Q: 343 | lim x → 7 x – 7 - O - 28 O 147 O 98 O – 147

A: Topic:-  limits and continuity  

Q: Evaluate the following integrals: dx x In x 2.S da 1+x 1+x?

A: 1. ∫dxx ln x2. ∫1+x1+x2dx

Q: Given: sin A= and A is in the second quadrant; evaluate the following expression. %3D tan 20 = 4V5 -...

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Q: Give a vector parametric equation for the line that passes through the point (–2, 1, –2), parallel t...

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Q: What is the second derivative of f(x)=x^2lnx

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Q: 1. Find the second derivative of the function. 8(x) = 3\/x + e7*In(x)

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Q: Question 1 - of 15 Step 1 of 1 00:26:06 Find the volume of the solid generated by revolving the regi...

A: Volume

Q: 32. Find a linear differential operator (of lowest order) that annihilates the given function: f(r) ...

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Q: The figure below shows contours of g(x, y) on the region R, with 3 < x < 9 and 2 < y < 8. 8 -1 6 1 2...

A: Let's find. 

Q: For the next three questions, consider the differential equation: y" – 2y/ + y = e* arctan r If the ...

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Q: Consider the graph of the function y = 4 - 5". Find the equation of the line tangent to the graph of...

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Q: 43. Using the method of undetermined coefficients, write the form of the assumed particular solution...

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Q: Find the area under the curve Y 0.5x- 1.5 from x = 9 to x = t and evaluate it for t 10 , t curve for...

A: The curve y=0.5x-1.5

Q: For the next six questions, consider the differential equation: y" + 4y = g(x), g(x)# 0

A: follow next step

Q: 4. Perform the following operations involving complex numbers: a. (2 + 7i) + (3 – 4i) b. (9 + 5i) - ...

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Q: Answer the question below: x+y The student should find the local linear approximation of f(x, y, z) ...

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Q: Find (f^-1)'(a).  f(x)=4x^3+3x^2+8x+9,    a=9 (f^-1)'(a)=

A: Topic:- function and derivatives

Q: If f(x)=10sin(x)+3cos(x) , find a function g so that g"(x)=f(x) given that g(0)=0 and g(2)=12 . g(x)...

A: Given query is to find g(x).

Q: 35. Give linearly independent functions that are annihilated by D² (D² – 2D + 10).

A: We will find roots for the equation and use concept of differential equations to find the linearly i...

Q: as, consider the different

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Q: Use a sum or different formula to find the exact value of cos285

A: sum formula cos(A+B)=cosAcosB-sinAsinBnow285=270+15A=270, B=15and we know that sin15=6-24 

Q: 5. DETAILS LARAPCALC10 2.3.028. Find the marginal profit for producing x units. (The profit is measu...

A: The objective is to find marginal profit for producing x units .

Q: Let sk En(0.1)" n=1 Find s9.

A: Given that sk=∑ n=1k n (0.1)n -(i) Our Aim is to find s9=?

Q: Determine the general antiderivative below. (Use a capital C as the integration constant.) (x+3)/x-1...

A: We have to find integral

Q: 12

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Q: What are the roots of the auxiliary equation corresponding to the DE y" + 3y" + 3y' + y = 0? Write t...

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Q: 75 ft A pole stands 75 feet tall. An angle 0 is formed when wires of various lengths of r feet are a...

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Q: et dx 3 (9 + e2ª)ž

A: Solution: ∫ex9+e2x32dx Apply u substitution: u=ex dudx=ex⇒du=exdx⇒dx=1exdu  

Q: ip dt + y* = tys (MULTIPLE CHOICE) Which of the following is(are) true about the equation (A) The di...

A: Given that Diffrancial equation t4dydt+y4=ty3Solution :t4dydt+y4=ty3dydt+y4t4=ty3t4dydt+yt4=yt3this ...

Q: Write the equation of a conic given by 8x² + 8y² – 16x + 48y+ 10 =0 in standard form. A (x- 1)² + (y...

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Q: Problem 6 Consider a market that sells individual marbles. Qs=2+2*P Qd=11-P   A $3 tax on consumers ...

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Q: What is the derivative of 2(x)ln(x)+x

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Q: x2 +4 dx 2x2 + x

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Q: 2. Find (a) the gradient of f at P and (b) the rate of change of the function value in the direction...

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Q: 4. The height h (in metres) of a certain section of a roller coaster is modelled by the equation h(x...

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