-is F (x) xỉ (9x“ – 10) where "a" is equal to The antiderivative of f (x): 30 A 12 6. 1 D None of the given choices E

Q: Evaluate: | sech[In cosx]tanx dx A -2 tan -1(e cosx) +C В -2 tan -1(cosx) +C 2 tan -(ecosx) + C (D 2…

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Q: Q3) Evaluate triple integral f, L(x - y?)dz dy dx.

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Q: If R is the region enclosed by 36 – 4x? - 4y² = 0 and 2x + 2y?- following sets gives R in the polar…

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Q: Activity 1 Find the antiderivative of the following functions. Show your complete solution and…

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Q: Calculate ri(t) · r2(t)] and ri(t) x r2(t)] first by differentiating dt the product directly and…

A: => i have provided this answer with dull description in step-2.

Q: k=1 2K (c) Use the ratio test for absolute convergence to determine whether the series converges or…

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Q: Which of the following yields the value 3187 (8r+7y)dudy (8r+7y)dydr (8r+7)dudy O none of the oices

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Q: Which of the following yields the value 318? 3 (8х + 7у) dxdy 0 °0 (8x + 7y) dydx 0 °0 none of the…

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Q: Evaluate the triple integral xyz dV, R where R = {(x, y, z)| 0 < x < 3, -2 < y < 1, 1 < z < 3}.

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Q: 1. S cos (3 sin x)cos (4 sin x). cosxdx sec*x dx 2. Jtanx 3. Sr 6 tan*x dx 4. /2 sin5x dx

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Q: Find al ales of that satsy th equation f(x)= g'(x) # f(x)=sin x and g(x)=cos x. 3mt x+kT, where k is…

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Q: Find the saddle point/s of the function f(x, y) = x² + y° + x®y+ 4 O a (4,0) & (-4,0) O b.(E -1) &…

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Q: 5. S csc* dx *csc4 x²

A: Given problem:-

Q: Q2: Find the integration by applying substitution method: 7 dX (X – 1)VX2 – 2x - 48

A: Given,             ∫7x-1x2-2x-48dx

Q: Is Rolle's theorem valid for the function f(x) = Vi-x on the segment [-1,1]? a. No since the…

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Q: UsinG PYTHAGORE AN IDENTITY, SOLVE FOR [sin Gx) - cos (Vx)] - 3x5 COS

A: The integration of the integral is  [sinx1/3-cosx1/3]2/(3x2/3).

Q: Find all values of x that satisfy the equation f'(x) = g'(x) if f(x)=sin x and g(x)=cos x. a. * +kT,…

A: Given that     f(x) = sinx and g(x) = cosx  Here we have to find all the values of x that satisfy…

Q: Learning Competency: illustrate an antiderivative of a function. Question Is S Gx2 + 5x + C)dx = 3x…

A: Given,             Is ∫32x2+5x+Cdx=3x+5 correct.

Q: Use the Midpoint Rule for the triple integral to estimate the value of the intergral. Divide B into…

A: Note that, 0≤x≤4, 0≤y≤8 &amp; 0≤z≤4 generate the cube. And, the mid-points of the cube are:…

Q: A. Evaluate the limit of a function using the concept of Special Limits. 1. lim t→0 t t2-3t+5 + t2-1…

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Q: x +x-6 F(x)%3D at x= - x+3

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Q: (x²y + 2xy² – y³)dr – (2y³ – xy² + =*)dy = 0.

A: Solving

Q: 6.Find all the first partial derivatives of each function x² – y² c. f(x,y) ху с. = d. f(x,y)=e* cos…

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Q: Given In.ry+x+ y =2. Find dy by implicit differentiation. dx

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Q: Find the absolute extrema of the function f(x)=(x+1)*" in [-2,1], if there is any.

A: f(x)=x+123

Q: Find the derivative of f(x)= (Inx Oa 6x(Inx Ob. 4 inx Oc 12(in a Od 24(inx

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Q: Q4) Evaluate the following integral using Trigonometric Substitutions Method: 2 y = - x dx

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Q: 3 Fin %3D tan (X?y) tanx 2.y=(1+x)

A: 1) ln(x2+y) =tan-1(x2y)  2)y=(1+x2)tan^(-1)(x).

Q: Write Tif the statement is true, or F if it is false. Write your answers on the blanks. dx x +C 3 2.…

A: 1.∫5x233dx=∫53x23dx=53x5353+c=x53+c1. T2.∫-45x544dx=-45x944×49+c=-5x94+c2. T

Q: Which of the following is the general solution of the differential equation y" - 36 y=0 ? O…

A: y''-36y=0auxillary equation is given bym2-36=0(m+6)(m-6)=0m=-6,6m1=6 , m2=-6

Q: Q3) Evaluate triple integral f Lx - y²)dz dy dx.

A: The given problem is solved below in detail.

Q: Q3) Evaluate triple integral , dz dy dx.

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Q: Q2) Solve the D.E xy(x? + 1)dy - (y? + 1)dx = 0 %3D

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Q: Find an equation of the sphere whose diameter is the line segment having endpoints at (6,2, –5)

A: To find the equation of sphere.

Q: 1-y -x. dy at the point (0,1) given the curve dx Find the value of 1+y

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Q: Consider the region bounded by the curve v= x2 - 1 and the x - axis over the interval [0,3]. Find…

A: The equation for the x-axis is y=0. Draw the given two curves.

Q: Q3 Find dy tan (X?y) tanx 2 y-(1+x)

A: A detailed solution is given below

Q: Reduction of order can be used with 2x to find a second solution for the %D DE: 2x²y" – xy' - 2y =…

A: Given y1= 2x² is a solution of 2x²y''-xy'-2y=0....(i) So 2x²y1''-xy1'-2y1=0....(ii) Let y=…

Q: At which value of x does the local maximum occur? Ox=3 O local maximum does not exist Ox-1 Ox=5

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Q: Which of the following yields the value 3580? O none of the choices (18x+7y)dxdy (18x+7y)dydx…

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Q: Find h'(x) if h(x) = x³e*sin x. O a. h'(x) = 3xe*sin x + x'e*sin x + x'e*cos x 3X, O b.h'(x) =…

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Q: 1. Use a parametrization to express the area of the given surface as a double integral and then…

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Q: Suppose that y, denotes a nontrivial solution of the following second-order differential equation:…

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Q: | Find the minimum point for the function f(x) =1 + 12x – 4x (2,-7) (0, 1) Oa.9) (1, 9) O (-1, -7)

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Q: Which of the following yields the value 3187 (8r+7y)dudy (8r+7y)dydx (8r+7)dudy O none of the oices

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Q: Differentiate the following functions. Show your complete solutions and emphasize your final answer.…

A: 1) f(x)=25x    Differentiate with respect to x   f'(x)=252) f(x)=-4x5+2    Differentiate with…

Q: Helene invests Php 5,000 in an investment that earns 6% per annum. How many complete years doe it…

A: Topic = Algebra

Q: Q1/ Estimate f (1.72) from the given data using Newton's Backward Difference Formula: 1.7 1.8 1.9…

A: we will use newton backward difference formula .

Q: Evaluate: / y6 sech(e7hny) tanh (e 7Iny) dy A) -sech(y?) +C 7

A: We know that    elnx=  x we use above result to determine the integral

Q: -1 if x <0 (x) 3D{0 if x 0

A: