Find Ə2z ?хду of z = x3 + 5x² y + 6

Q: y=Arccos (x²)

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Q: y = 2 sin 3x 1+3cos2x

A: We can solve this as follows:

Q: formula for the sum of the first n terms of a geometric sequence to find the sum of the first 11…

A: Given query is to the sum of the 11 terms

Q: Stretching spring: Eighteen pounds of force is required to stretch a spring 3 ft. from its natural…

A:

Q: The graph of y=5x*-x³ has a point of inflection at (A) (0, 0) and (4, 256) B (0, 0) and (3, 162) (3,…

A: Given graph,y=5x4-x5Aim : To find point of inflection.

Q: Which of the following can be determined given Ⓒ [² (4f(x) + 9h(x)) dx 3 ® √²³((x) + B © ²(f(x) -…

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Q: What is the integral of the shaded region? * 8(y)-f(y)dy A. OA OB Oc OD B. İf(y) - g(y)dy a C. f(x)…

A: To find out the correct answer.

Q: Which of the following CANNOT be solved by method of undetermined coefficients? 1 A (D²+1)y=. cos x…

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Q: 4 [*(16-x²) dx

A: Using left reimann, approximate area is evaluated.

Q: A tank contains 50-liters of brine in which 20 grams of salt is dissolved. Pure water is being…

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Q: Evaluate the integral: e3+ cosh2x33 + cosh2xsinh2x dx A (3e)3+ sinh2x 21n3 +C B (3e)3+cosh2x 2+2ln3…

A: This question can be solved using integration by substitution.

Q: y = Arctan ( 2+x 1-2x

A: The derivative are

Q: Which of the following methods can be applied to find a particular solution yp of y"+y=cos(ex)? A…

A: Which of the following methods can be applied to find a particular solution yp.

Q: √√³F(x) Which of the following can be determined given Arx (f(x) + g(x) +h(x)) dx B g(x) dx ©…

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Q: S₁² = P² 1 хо A (-∞,1] B {0,1} с (1,00) D (-∞0,00) Given dx, determine all value/values of P for…

A: Here we have to determine all values of p in which the given improper integral is converges.

Q: How many antiderivatives does a function of the form f(x)=x" have when n*0₂ A infinitely many B may…

A: We have to choose correct option

Q: The population of a community is known to increase at a rate proportional to the number of people…

A: Let's find  initial population and after 10 year population.

Q: S Given 1 хр for which the improper integral converges? A {0,1} (B (1,00) C (-∞0,00) D (-∞,1] dx,…

A: The given improper integral is: ∫1∞1xpdx Suppose p=1 then: ∫1∞1xdx=ln x1∞=∞ So, diverges.

Q: If f(x) = Α) B C D tanx sec ³x 1 + e tanx 1+tan²x 1+ e tanx sec²x 1+1² 1+e' -dt, then f'(x) equals…

A: We have to find derivative of given integral.

Q: L(sin 2t cos 2t) Your answer

A:

Q: Question 25 x + 2 Determine the case of the following proper rational function after simplification:…

A: We have to determine proper rational functions and choose correct options

Q: If f(x) = 2[g (x)]³+7, then what is f'(x)? (A) f'(x)=6g (x) g'(x) (B) f'(x)=6g'(x)…

A: Use the chain rule of differentiation and then solve .   As per the bartleby guidelines I am allowed…

Q: Stretching spring: Eighteen pounds of force is required to stretch a spring 3 ft. from its natural…

A: To find the work done.  Option D is correct.

Q: Practical Question: An object is moving horizontally with the speed of 50 m/s. When the object at…

A: Projectile motion is the motion of an object projected horizontally into the air and moving…

Q: Stretching spring: Eighteen pounds of force is required to stretch a spring 3 ft. from its natural…

A: Given that, Stretching spring: Eighteen pounds of force is required to stretch a spring 3 ft. from…

Q: Determine the area bounded by the functions f(x) = (x + 1)³ and g(x)=x+1₁ 1 A -unit² (B) unit² 1 H|m

A: Given that fx=x+13  and gx=x+1Solution :x+13=x+1x+13-x+1=0x+1x+12-1=0x+1=0 and x+12-1=0x=-1 and…

Q: Find the critical points of the function f(x) = x³ + ¹/5x² + 50x + 7. Use the First Derivative Test…

A: We have to find the maximum and minimum.

Q: etermine the area bounded by f(x)=x²-x and x-axis. 1 A unit² 2 B unit² 1 unit² 1 unit² D

A:

Q: I sin sin ³0cos Ode by trigonometric transformation, we use the identity; To evaluate the integral…

A: We have to slove integral

Q: S √√9-x² dx using trigonometric substitution will lead to: **/2 cos²0d0 Evaluating Ⓒ 18/² A 95*1/2 B…

A:

Q: Q/IF 3= sin(X) (²314) y = 3² sin(x) cos(x) Prove that

A: To find y':

Q: Find L(e³t cos 2t)

A:

Q: Find the average value of f over region D. f(x, y) = 3x sin(y), D is enclosed by the curves y = 0, y…

A: Here, the domain D is the area enclosed by the curves y=0, y=x2 & x=7 is: A=∫07∫0x2dy…

Q: dy Reduce the linear DE (2xy + x²+x¹) dx = (1+x²) dy=0 to standard form dx (A) +y dy dx -2x 1+x² =x²…

A:

Q: dx Transforming - using miscellaneous substitution will yield to secx + 1 (A) S= -dz 1+z² ® √ ²²+2…

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Q: Evaluate the given definite integral [ 2x³ – 6x² dx, from x = 1 to x = 2 X²

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Q: Initially 73 grams of radioactive substance was present. After 3 hours the mass had decreased by 6%.…

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Q: Stretching spring: Eighteen pounds of force is required to stretch a spring 3 ft. from its natural…

A:

Q: Which of the following represents the volume of the solid generated by revolving the region bounded…

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Q: Refer to the definite integral to answer the following questions 3 1² (2²) (x²) dx

A:

Q: Determine the integral: [x²cosxdx A x²sinx+2xcosx-2sinx + C (B) x²sinx-2xcosx + 2sinx + C…

A: On solving this we will get

Q: Find the volume of solid generated by revolving the region bounded by f(x) = x² + 1and g(x) =…

A: To find the volume of the solid.

Q: Which of the following represents the volume of the solid generated by revolving the region bounded…

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Q: Given than f(x) dx = 4 and A None of the given choices ℗ 25 (2) dx = [1 (2) de B f(x) © f (x) dx =…

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Q: Solve the integral: Seln(2x² + 3x-4)³ (4x + 3)dx A eln(2x² + 3x-4)³ (4x+3) 3(2x²+3x-4) (2x²+3x+4)4 B…

A:

Q: Given S dx, determine all value/values of for which the improper integral XP converges? (A) {0,1} B…

A: Please follow the next step.

Q: The length of a rectangle is given by 4t - 3 and its height is √21, where t is time in seconds and…

A: We know that area of a rectangle is defined as (length of rectangle)(Height of the rectangle)

Q: The improper integral A 0 B 1 с e D 8 +∞ St 0 ex dx is

A:

Q: Which of the following represents the volume of the solid generated by revolving the region bounded…

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Q: fx(2x + 5)³ dx

A: Integral