Find the domain of the vector function. (Enter your answer in interval notation.) t - 2 r(t) i + sin(t)j + In(25 - t²) k t + 2 =

Q: 3+cosh2x33+cosh2xsinh2x dx Evaluate the integral: e3+c (3e)3 + sinh2x A + C 2 + In3 (3e)3 + cosh2x B…

A: You must have idea of integration to solve it.

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: Which of the following can be determined given 3 3 3 [ f(x) dx = 5₁ g(x)dx=7, and 1 [n(x) dx = -5 ₂3…

A:

Q: x+2 Determine the case of the following proper rational function after simplification: (x2 -…

A: Here, the rational function is: x+2(x2-4)(x3-8)=x+2(x2-22)(x3-23)=x+2(x-2)(x+2)(x-2)(x2+2x+4)

Q: d If g(x) == _S^*[e' − In(2t+1)]dt, find g ''(x) . - dx -2 2 A (2x + 1)² 4 B (2x + 1)² 4 (2x+1)2…

A:

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

A: Volume

Q: d If g(x)=- -S*[e' - In (21+1)]dt, find g(x) Se dx 4 A (2x+1)² 4 B e+ (2x + 1)² Ⓒe* -In (2x+1) 2 D…

A:

Q: Evaluating 9-x² dx using trigonometric substitution will lead to: A of th (A) cos²0d0 [*/ cos²0de Ⓒ…

A:

Q: дz дz Givenz = xey +yex, Find дх’ду

A: in partial differentiation , other variable is considered as constant when function is…

Q: Əz 5. Givenz = y -4x ?х 6. Find of z = In(xy) a²z 7.Find of z= x³ + 5x²y + 6 əxəy Find дz

A:

Q: (D) 1

A:

Q: iven ·S. A (-∞0,00) B) {0,1} Ⓒ(1,00) D) (-∞,1] dx, determine all value/values of P for which the…

A:

Q: Problem Solving: Prob. 1 A block of mass M = 10 kg is sitting on a surface inclined at angle 0 =…

A: Given that M= 10 kg and coefficient of static friction = 0.5 1. Minimum force necessary to prevent…

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

A:

Q: Find the average value of the function f(x, y) = xy over the triangle with vertices (0, 0), (1,0)…

A:

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

A: The derivative are

Q: Find the volume of the solid generated by revolving the given plane area having the given boundaries…

A:

Q: 7.Find of z = x3 + 5x2 y + 6 02z дхду

A: find ∂2z∂x∂y of z=x3+5x2y+6 formula: ∂xn∂x=nxn-1

Q: What is the value of C if r(π/3)=2? * O 2 0 TT/2 none of the choices

A:

Q: That statement "We can use the General Power Formula of Integration for indefinite integrals…

A:

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

A:

Q: If g(x)=- A B d- ſ ^ [e' − In(2t + 1) ]dt, find g*'(x) . dx -2 2 (2x + 1)² 4 et + (2x + 1)²…

A:

Q: dx Transforming S using miscellaneous substitu secx + 1 A S²= 2-2z² -dz 1+z² 1+z² B 1-z² 1-z² © √ 1…

A:

Q: Evaluate the integral: e³+ cosh2x33+ cosh2xsinh2x dx A (3e)3+ sinh2x 2+In3 +C (3e)3+cosh2x B) 2+2ln3…

A:

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

A:

Q: Solve the integral: A B с 1 √√x+x √√ Sin/1+x²|+c -In +C 6in|5+ x²|+C с {in/1+x³ |+c C dx

A:

Q: sinh x + ex cosh x + ex In the indefinite Integral in(cosh x + ex)- A In(cosh x + e*) B sinh x + ex…

A: To find integrand the steps are as follows.

Q: Find the area bounded by : f (x)=e*, g(x)=e* and x=3. A (e³-1)² e3 sq. units B (e³+ 1)² e3 (e²+ 1)²…

A:

Q: Evaluate the double integral: 2 √ ² √² (3x² +9y²) dx dy 0

A: To solve the given double integral.

Q: 2) Find the standard deviation of the population sample. 2, 4, 7, 12, 15 3) Find the variance for…

A:

Q: 25

A:

Q: Determine the area bounded by the functions f(x) = (x + 1)³ and g(x)= x+1. 3 A unit² 3 Ⓒunt² unit² D…

A: topic- area bounded by curves

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

A:

Q: Which of the following can be determined given A √ ² (f(x) + g(x) + h(x)) dx 4 ® [ g(x) dx ©…

A: We have given the Integration values of function f(x),g(x) and h(x) on a certain interval. We want…

Q: The general solution of (D³-4D2)y=0 is A y=c₁+ ₂²x+c₂e-²x By=c₁+ c₂x + c3e4x - 4x Ⓒy=C₁ + c₂x + c3е¯…

A:

Q: Find the are bounded by the curve y = x and y = x^2 - 2. * 2/9 sq unit 9/2 sq. units 16/3 sq. units…

A: Use the intersection of the curve and then integrate the upper curve minuses the lower curve to find…

Q: How far does the car travel during that time? * Onone of the choices O260.133 ft O 300 ft O258.133…

A:

Q: Which of the following is the antiderivative of the integral function: * f(xex) dx - ex + C none of…

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: d^3-5d+4)y=0 when, x=0, y=-2, dy=9, d^2y=0

A:

Q: cot 0 sin Ꮎ - csc Ꮎ 11. Prove the identity: - = -sec 0

A:

Q: Question 4 If f is continuous on [a,b], then T) True F False [xf(x)dx= x₁ b a f(x) dx

A: Given query is to find the statement is true or false.

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

A:

Q: If g (x) = — _ _[e¹ — ln(2t+1)]dt, find g''(x) dx -2 (A) B C) D 4 et + (2x + 1)2 4 et + (2x+1)2 e* -…

A:

Q: The general solution of (D³-5D²-6D)y=0 is Ay=c₁+c₂е¯x + c3e6x By=c₁ex+c₂e²x + c3e³x Ⓒy=c₁+c₂e²x +…

A:

Q: S Given dx, determine all value/values of P for which the improper inte хр A (-∞,1] B {0,1} C…

A:

Q: Let f(x)=√√3x-2 on the interval volume of the resulting solid. 83л A -unit 3 125 43л 135 43л 125 83л…

A: Let's find volume of resulting solid.

Q: Q/IF 3 = sin(x) 0²³²141 y= (4) y = 3/2 I sin(x) cos(x) Prove that

A:

Q: In the indefinite Integral in(cosh x + e*)- integrand? A sinh x + ex B In(cosh x + e*) In(cosh x +…

A: What is the integrand

Q: What kind of the polar graph has the equation r = 2 + 2 cos 0? limacon cardioid lemniscate…

A: